/3*n**2.
-n**2*(n + 1)/3
Let g be ((-297)/5)/(-11) + -5. Find m, given that -4/5*m**3 - 2/5*m**4 + g*m**2 + 4/5*m + 0 = 0.
-2, -1, 0, 1
Suppose -w = 3, 0*h - 5*h = -2*w + 69. Let z be (24/(-36) + (-16)/h)/2. Factor z*k + 0 - 1/5*k**2.
-k*(k - 1)/5
Factor -1/2*v + 0 - 1/6*v**2.
-v*(v + 3)/6
Let m(y) be the second derivative of y**7/560 - 3*y**5/80 + y**4/8 - 5*y**3/3 + 19*y. Let j(s) be the second derivative of m(s). What is r in j(r) = 0?
-2, 1
Suppose -2/5*o**5 - 6/5*o**3 + 8/5*o - 8/5*o**2 + 0 + 8/5*o**4 = 0. What is o?
-1, 0, 1, 2
Suppose 2*s = 11 - 7. Let o(j) be the second derivative of 0*j**2 + 0 + 0*j**3 - 1/3*j**4 - 1/10*j**5 - s*j. Find k such that o(k) = 0.
-2, 0
Factor 13/3 - 1/3*f**2 + 4*f.
-(f - 13)*(f + 1)/3
Solve 8/9 + 10/9*q + 2/9*q**2 = 0 for q.
-4, -1
Let m(j) be the second derivative of j**9/7560 - j**8/3360 - j**4/6 + 4*j. Let c(z) be the third derivative of m(z). Factor c(q).
2*q**3*(q - 1)
Let k = -45 - -45. Let t(v) = -v**3 - v**2 - 3*v + 2. Let o be t(k). Solve -2/3*f**o + 1/3*f**3 + 1/3*f + 0 = 0.
0, 1
Suppose -250*c + 62 = -219*c. Let z(x) be the first derivative of 8 + 0*x**c + 0*x + 1/6*x**4 + 0*x**3 + 1/15*x**5. Factor z(f).
f**3*(f + 2)/3
Let p be (-3)/(-1 + (-12)/(-16)). Suppose -8*t + 18*t - 7*t - 9*t**3 - 10 + p*t**2 + 4 = 0. Calculate t.
-2/3, 1
Let f = -11 + 14. Solve 0*b**2 - 22 + 9*b + b**2 + 24 + f*b**2 = 0 for b.
-2, -1/4
Let y(f) be the first derivative of f**3/12 - 83*f**2/4 + 6889*f/4 - 278. Factor y(g).
(g - 83)**2/4
Let l be (120/(-9))/(-10)*(-6)/(-4)*1. Factor -1/2*t + 3 - 1/2*t**l.
-(t - 2)*(t + 3)/2
Factor -9*q**2 - 3/5*q**3 - 75 - 45*q.
-3*(q + 5)**3/5
Let s(q) be the second derivative of 0*q**2 - 1/126*q**7 + 1/15*q**5 + 1/45*q**6 + 0 + 14*q + 0*q**3 - 2/9*q**4. Factor s(b).
-b**2*(b - 2)**2*(b + 2)/3
Let s(q) be the third derivative of q**7/350 - 3*q**6/100 + 4*q**4/5 - 49*q**2. Let s(d) = 0. What is d?
-2, 0, 4
Let 8/3*r**2 - 4/3*r**4 - 1/3*r**5 - 4/3 - 1/3*r + 2/3*r**3 = 0. Calculate r.
-4, -1, 1
Let l(n) be the first derivative of 0*n + 2/45*n**3 + 2/15*n**2 - 1/30*n**4 - 18. Factor l(b).
-2*b*(b - 2)*(b + 1)/15
Let r(f) = 16*f**3 - f**2 + f. Let v be r(1). Let k be (2/4)/(20/v). Factor 4/5 - 4/5*z**2 + 2/5*z**3 - k*z.
2*(z - 2)*(z - 1)*(z + 1)/5
Let m(l) be the third derivative of -l**5/30 + 11*l**4/108 - 2*l**3/27 + 139*l**2. Factor m(u).
-2*(u - 1)*(9*u - 2)/9
Suppose -2*l = -11*l + 5130. Let u be 6/(-8) + l/440. Find d such that u*d + 4/11 + 2/11*d**2 = 0.
-2, -1
Let u(t) be the second derivative of t**6/45 + t**5/10 + t**4/9 + 2*t - 126. Factor u(p).
2*p**2*(p + 1)*(p + 2)/3
Let c(y) = -8*y**3 + 26*y**2 + 58*y + 24. Let n(l) = l**3 + 1. Let d(x) = c(x) + 6*n(x). Factor d(z).
-2*(z - 15)*(z + 1)**2
Let p(q) = 3*q + 17. Let t be p(-5). Factor 52*n**2 - n**5 - 54*n**t + 2*n**5 - 3*n**3.
n**2*(n - 2)*(n + 1)**2
Let f(i) be the first derivative of -2*i**5/5 - 2*i**4 - 8*i**3/3 - 80. Factor f(d).
-2*d**2*(d + 2)**2
Let k(z) be the third derivative of -z**5/20 + z**4/2 - 77*z**2. Factor k(j).
-3*j*(j - 4)
Suppose 0*p = -5*p. Let 4 + p*x**2 - 5*x**2 + 1 + 0*x**2 = 0. Calculate x.
-1, 1
Let l(p) be the second derivative of p**6/120 + p**5/8 + p**4/2 + 11*p**3/12 + 7*p**2/8 - 4*p - 7. Solve l(i) = 0 for i.
-7, -1
Let s = -214/3 - -72. Suppose 0 = 4*b - 5*n + 17, -34*b = -29*b - 2*n. Factor 0 + 4/3*y + s*y**3 - 2*y**b.
2*y*(y - 2)*(y - 1)/3
What is a in a**3 - 2*a**5 - 5*a**4 + 4*a**5 + 3*a**4 - a**5 = 0?
0, 1
Determine i, given that 2/3*i**3 - 14/3*i**2 + 20/3*i + 0 = 0.
0, 2, 5
Let y(m) be the second derivative of 1/3*m**3 - m - 3*m**2 + 1/120*m**5 - 1/12*m**4 + 0. Let u(d) be the first derivative of y(d). Factor u(b).
(b - 2)**2/2
Let t(a) be the first derivative of -99*a**5/5 - 105*a**4/4 - 2*a**3 - 65. Let t(k) = 0. Calculate k.
-1, -2/33, 0
Let z(m) be the third derivative of 7*m**6/540 + 313*m**5/270 - 5*m**4/6 + 10*m**2 + 24. Let z(s) = 0. Calculate s.
-45, 0, 2/7
Let s be (-50)/(-75)*(-27)/(-6). Factor 8*j - 8/3 + 4/3*j**s - 6*j**2.
2*(j - 2)**2*(2*j - 1)/3
Let z be 40/(-30) + 1 + 3. Find h such that -12*h**3 - 10/3*h**4 - 34/3*h**2 + 0*h + z = 0.
-2, -1, 2/5
Find r, given that 0 + 82/7*r**4 + 5/7*r**5 - 32/7*r - 82/7*r**2 + 27/7*r**3 = 0.
-16, -1, -2/5, 0, 1
Suppose -7 = -3*t - 2*d, -16*t + 3*d = -14*t - 9. Factor 3/4*q**t - 3/4*q**2 + 3/4 - 3/4*q.
3*(q - 1)**2*(q + 1)/4
Let t(a) be the second derivative of -a**5/240 - a**4/96 + a**3/12 - 3*a**2 - 39*a. Let q(z) be the first derivative of t(z). Suppose q(o) = 0. Calculate o.
-2, 1
Let x(g) be the first derivative of g**4/4 + 4*g**3 - 49*g**2/2 - 60*g - 185. Let x(z) = 0. Calculate z.
-15, -1, 4
Factor -1/2*o**3 + 13/2*o**2 - 28*o + 40.
-(o - 5)*(o - 4)**2/2
Let h(a) be the second derivative of 1/16*a**4 + 0 + 0*a**2 + 8*a - 3/8*a**3. Let h(w) = 0. Calculate w.
0, 3
Let r(w) be the first derivative of w**8/168 + 2*w**7/105 - w**5/15 - w**4/12 - 3*w**2/2 - 11. Let o(l) be the second derivative of r(l). Factor o(j).
2*j*(j - 1)*(j + 1)**3
Let g(l) be the first derivative of l**5/15 + l**4 + 6*l**3 + 5*l**2/2 + 5. Let k(t) be the second derivative of g(t). Find x, given that k(x) = 0.
-3
Let j(z) be the third derivative of -z**7/210 + z**6/15 - z**5/10 - 5*z**4/3 - 25*z**3/6 + z**2 + 11. Factor j(s).
-(s - 5)**2*(s + 1)**2
Let l be -25 - ((-16891)/95)/7. Determine x, given that -2/5*x**2 + 0 - 4/5*x + l*x**3 = 0.
-1, 0, 2
Let c(i) = -6*i - 22. Let z be c(-4). Let o(b) be the third derivative of -8*b**z + 0*b - 1/2*b**4 + 0 - 1/15*b**5 - 4/3*b**3. Suppose o(j) = 0. Calculate j.
-2, -1
Let m be (-24)/(14 - 2) - 8/(-1). Factor -m - 2/3*o**2 - 4*o.
-2*(o + 3)**2/3
Let g = 231 + -123. Determine w, given that -g*w**3 - 20*w + 79*w**3 + 49*w**3 - 5 + 5*w**2 = 0.
-1, -1/4, 1
Let u(i) be the third derivative of -i**5/330 - 5*i**4/44 - 14*i**3/33 - 109*i**2 - i. Factor u(k).
-2*(k + 1)*(k + 14)/11
Let 2/11*w + 2/11*w**2 - 4/11 = 0. Calculate w.
-2, 1
Suppose -7*k - 3*k = -140. Let u be k/10 + (2 - (3 - 0)). Factor -u*t**2 + 2/5*t + 0.
-2*t*(t - 1)/5
Let k be ((-2)/1)/(138/134 - 1). Let x = k - -67. Factor 1/4*f**4 + 1/2*f**3 + x*f**2 - 1/4 - 1/2*f.
(f - 1)*(f + 1)**3/4
Let o(w) be the second derivative of 1/35*w**5 + 0*w**2 - 21*w + 2/105*w**6 - 1/21*w**4 - 2/21*w**3 + 0. Factor o(j).
4*j*(j - 1)*(j + 1)**2/7
Suppose 0 = c + 2*w - 9, 4*w = 3*w + 3. Factor -372*f**c - 8*f**2 + 376*f**3 + 4*f + 0*f.
4*f*(f - 1)**2
Let m(s) = s**2 + s. Let x be m(1). Factor -3*h**2 + h**2 + x*h + 2*h**2 + h**2.
h*(h + 2)
Let h be (-1)/(42/(-159)) + 2478/(-708). What is k in -h*k - 2/7*k**2 + 4/7 = 0?
-2, 1
Let i(z) be the second derivative of z**5/16 - 5*z**4/4 + 205*z**3/24 - 75*z**2/4 - 50*z. Determine p, given that i(p) = 0.
1, 5, 6
Let j(y) be the first derivative of y**7/2 + 19*y**6/10 + 9*y**5/4 + y**4/4 - y**3 - 2*y - 4. Let d(s) be the first derivative of j(s). Factor d(w).
3*w*(w + 1)**3*(7*w - 2)
Let o(v) = -9*v**2 - 123*v + 138. Let h(d) = 11*d**2 + 122*d - 138. Let k(b) = -6*h(b) - 5*o(b). Factor k(p).
-3*(p - 1)*(7*p + 46)
Suppose t - 5*y + 11 = 0, 0 = -t + y + 2 - 1. Let t*q - 78*q**4 - 8*q**5 - 12*q**2 + 29*q**5 + 62*q**3 + 19*q**3 - 16*q = 0. What is q?
-2/7, 0, 1, 2
Let y(g) = 1. Let o(r) = 3*r**3 + 882*r**2 + 86436*r + 2823558. Let c(m) = -o(m) - 18*y(m). Factor c(d).
-3*(d + 98)**3
Let p(n) = 24*n**4 + 8*n**3 - 52*n**2 - 20*n + 20. Let l(b) = -b**4 + b**3 + b**2 + b - 1. Let y(j) = 20*l(j) + p(j). Suppose y(q) = 0. Calculate q.
-8, 0, 1
Suppose 5*f - 141 + 118 = o, -5*f = o - 17. Solve 297/2*u**3 - 81*u**f - 162*u**5 + 3/4 + 321/4*u**2 + 27/2*u = 0.
-1, -1/6, 1
Let p = 37 - 35. Let 9*i**2 + p*i**3 - 38*i + 47*i + 3 + i**3 = 0. What is i?
-1
Suppose -10 = 2*y - y - 3*j, -y + 5*j - 18 = 0. Find h, given that 109*h + 8*h**2 - 105*h + y*h**3 + 2*h**3 = 0.
-1, 0
Let z(f) be the second derivative of 3/20*f**5 + 0*f**2 - f**4 - 43*f + 0*f**3 + 0. Factor z(w).
3*w**2*(w - 4)
Let c(k) be the third derivative of k**5/210 - k**4/21 - k**2 + 9. Determine x so that c(x) = 0.
0, 4
Let x = -1972 - -1984. Let i(u) be the first derivative of 3/28*u**4 + 0*u**2 + 0*u + 3/35*u**5 + 0*u**3 - x. Factor i(o).
3*o**3*(o + 1)/7
Let f(j) = j**5 + 2*j**4 + j**3 - 4*j. Let x(t) = 6*t + 0*t - 5*t. Let u(c) = f(c) + 4*x(c). Factor u(v).
v**3*(v + 1)**2
Let i(j) be the second 