2 - 5/12*a**4 + 1/6*a**6. Factor v(p).
5*p*(p - 1)**2*(p + 1)
Suppose -26*h + 104 - 10 = 16. Let 3/4*i**5 - 3*i**2 + 3*i**4 - 3*i + 0 + 9/4*i**h = 0. Calculate i.
-2, -1, 0, 1
Let k = 878 + -876. Suppose -2/3*l**k + 8/9 + 2/9*l**3 + 0*l = 0. What is l?
-1, 2
Find i, given that -128/5*i + 4096/5 + 1/5*i**2 = 0.
64
Let l be (-85)/10 + 4 - (-2 + 12)/(-2). Solve -l*o**2 + 2 + 0*o = 0.
-2, 2
Let 2/7*g**3 + 0 + 4/7*g + 6/7*g**2 = 0. What is g?
-2, -1, 0
Let h(n) = 8*n**4 + 2*n**3 + 22*n**2 + 16*n + 4. Let l(t) = -11*t**4 - 2*t**3 - 21*t**2 - 17*t - 5. Let m(j) = -5*h(j) - 4*l(j). Factor m(c).
2*c*(c - 3)*(c + 2)*(2*c + 1)
Let j be 66/54 + -5 + 0 + 4. Factor -j*i + 2/9*i**2 + 0.
2*i*(i - 1)/9
Let c be 3/(-4)*(-36)/189. Let m(y) be the first derivative of c*y**2 - 2/21*y**3 + 4 + 0*y. Solve m(b) = 0.
0, 1
Let y(z) = -4*z + 4*z + z. Let m(v) = 2*v**2 - 2*v. Let g be (-4)/1*9/36 - -2. Let c(d) = g*m(d) + 2*y(d). Solve c(w) = 0.
0
Let d(x) be the third derivative of 0*x + 3*x**2 - 1/1800*x**6 - 3/40*x**4 + 0 + 1/100*x**5 + 1/2*x**3. Let l(g) be the first derivative of d(g). Factor l(m).
-(m - 3)**2/5
Let f(w) be the first derivative of -w**6/120 + 13*w**5/80 - w**4 + 3*w**3/2 + 8*w + 26. Let o(g) be the first derivative of f(g). Factor o(a).
-a*(a - 6)**2*(a - 1)/4
Find w such that 0 + 1/6*w**2 - 2/3*w = 0.
0, 4
Let q(j) be the third derivative of 0*j**6 + 0*j + 1/90*j**5 + 0 - 13*j**2 - 7/180*j**7 + 0*j**4 + 0*j**3. What is h in q(h) = 0?
-2/7, 0, 2/7
Let v be (-6*11/55)/(2/(-5)). What is n in 0*n**2 + v*n**3 - 3/2 + 3/2*n**4 - 3*n = 0?
-1, 1
Let f(n) = 88*n + 444. Let a be f(-5). Let z(w) be the third derivative of 0*w - 1/6*w**3 - 1/20*w**5 - w**2 + 1/6*w**a + 0. Find c such that z(c) = 0.
1/3, 1
Suppose 3*i + 4*d = 28, 3*d - 8 = -3*i + 4*i. Suppose -o - 5 = -2*u, -3 = i*u - o - 14. Factor u*l + 3*l**5 - 12*l**4 + 12*l**4 - 6*l**3.
3*l*(l - 1)**2*(l + 1)**2
Let v = -119 + 115. Let u = 4 + v. Factor 4/9*k**3 - 4/9*k**4 + 1/9*k**5 + 0*k + u*k**2 + 0.
k**3*(k - 2)**2/9
Let i(v) be the third derivative of 13*v**2 + 0 - 2/1155*v**7 + 0*v**6 + 1/165*v**5 + 1/132*v**4 + 0*v**3 - 1/1848*v**8 + 0*v. Factor i(q).
-2*q*(q - 1)*(q + 1)**3/11
Let w = 1052/399 - 134/57. Suppose 0 - 16/7*d**2 - w*d**4 + 0*d - 12/7*d**3 = 0. Calculate d.
-4, -2, 0
Let w(v) be the first derivative of -5/4*v + 3/16*v**4 + 21/8*v**2 + 48 - 19/12*v**3. Let w(y) = 0. What is y?
1/3, 1, 5
Let q(w) be the third derivative of -26*w**2 + 0*w - 1/7*w**3 - 11/84*w**4 + 0 + 2/105*w**5. Determine u so that q(u) = 0.
-1/4, 3
Let j = 2144 - 2140. Suppose 0*p**j + 1/4*p**5 - 1/2*p**3 + 1/4*p + 0*p**2 + 0 = 0. Calculate p.
-1, 0, 1
Let t = -1444 - -1446. Solve 0 - 2/5*l**4 + 8/5*l - 16/5*l**2 + t*l**3 = 0 for l.
0, 1, 2
Let s(w) = 2*w**2 - 75*w - 36. Let m be s(38). Let f(d) be the second derivative of 0 + 0*d**3 + 1/2*d**m - 1/48*d**4 - 3*d. Factor f(z).
-(z - 2)*(z + 2)/4
Let t be -2 - 207/(-12) - (-8)/(-32). Let -23*l**2 - 35*l**3 + 20 - 22*l**2 - 47*l**2 + 17*l**2 + t*l**5 + 40*l + 35*l**4 = 0. Calculate l.
-2, -1/3, 1
Let l(y) = 9*y**2 - 52*y + 7. Let g(n) = -3*n**2 + 17*n - 2. Let j = 12 - 5. Let h(o) = j*g(o) + 2*l(o). Factor h(z).
-3*z*(z - 5)
Suppose -13*o = 4*o - 34. Let y(g) be the first derivative of -4 + 1/30*g**4 + 2/45*g**3 + 0*g + 0*g**o. Suppose y(q) = 0. What is q?
-1, 0
Let c(t) = t**2 - 6*t - 18. Let k be c(11). Let m = k - 34. Factor 1/5*b + 1/5*b**2 - 1/5*b**m - 1/5.
-(b - 1)**2*(b + 1)/5
Let a(z) = -27*z - 106. Let d be a(-4). Let q(s) be the third derivative of 0*s + s**d + 0 - 1/60*s**6 + 1/4*s**4 + 0*s**5 + 2/3*s**3. Solve q(y) = 0.
-1, 2
Let i(q) = 6*q**3 + 3*q**2 - 3*q - 3. Let v(f) = -f**3 + f + 1. Suppose 0 = -8*p + 28 - 4. Let s(j) = p*v(j) + i(j). Solve s(d) = 0.
-1, 0
Let n(i) be the second derivative of i**4/24 + 8*i**3/3 + 64*i**2 - 9*i. Factor n(r).
(r + 16)**2/2
Let i = 785 + -783. Suppose -3/2*s**3 + 3/2*s**4 + 0*s - 3*s**i + 0 = 0. What is s?
-1, 0, 2
Find q, given that 87*q - q**2 - 95*q + 7 - 7 = 0.
-8, 0
Let c = -2282 - -8324. Find j such that c*j - 7*j**4 + 6*j**2 - 19*j**3 - 6042*j = 0.
-3, 0, 2/7
Solve 832*t**2 + 744/7*t**4 + 5760/7 - 4576/7*t**3 + 2112*t - 36/7*t**5 = 0.
-2/3, 6, 10
Let u(s) be the second derivative of -s**6/10 - 99*s**5/140 + 17*s**4/28 + 33*s**3/14 - 15*s**2/7 + 316*s. Find n, given that u(n) = 0.
-5, -1, 2/7, 1
Let b be (-5 + (-84)/(-18))/(-35). Let q(f) be the third derivative of -1/36*f**4 + 1/36*f**6 - 4*f**2 + b*f**7 + 1/90*f**5 + 0*f**3 + 0*f + 0. Factor q(p).
2*p*(p + 1)**2*(3*p - 1)/3
Let n = -1050 + 1052. Factor 4/5*t**n + 4/5 + 2*t.
2*(t + 2)*(2*t + 1)/5
Determine d, given that -1536 + 33*d**4 - 64*d**2 - 800*d**2 + 3*d**5 + 13*d**3 + 2048*d + 67*d**3 - 9*d**4 - 7*d**5 = 0.
-6, 2, 4
Factor 0 + 41/4*t**2 + 35/4*t**3 + 3/2*t.
t*(t + 1)*(35*t + 6)/4
Let i(l) = -2*l**4 - 30*l**3 + 100*l**2 + 124*l - 4. Let z(h) = 3*h**4 + 60*h**3 - 199*h**2 - 249*h + 7. Let w(m) = 7*i(m) + 4*z(m). Factor w(o).
-2*o*(o - 8)**2*(o + 1)
Let w = 2 - 8. Let r(p) = -5*p**2 - p - 3. Let g(f) = 4*f**2 + 2. Let c = 16 - 23. Let l(t) = c*g(t) + w*r(t). Determine a, given that l(a) = 0.
-2, -1
Let b(v) = -v**3 - 6*v**2 + v + 6. Let z be b(-6). Suppose z*x - 9 = -3*x. Factor 9*j**2 - 2*j - x*j**3 + 6*j - 10*j.
-3*j*(j - 2)*(j - 1)
Let l be 3980/1050 + (-7)/945*-9. Solve l*v + 9/7*v**2 + 1/7*v**3 + 27/7 = 0.
-3
Suppose 9*t - 10*t = -w, -5*w = 4*t. Solve -j + j**2 + 1 + 4*j + w + 1 = 0.
-2, -1
Factor -3 - 21*q**2 - 69671*q**3 + 69670*q**3 + 3.
-q**2*(q + 21)
Solve -3*p**4 + 1 + 2 - 16*p**3 - 8*p**3 - 16*p**3 + 6*p + 34*p**3 = 0 for p.
-1, 1
Let s(l) be the second derivative of l**6/15 + l**5/5 - l**4/2 - 8*l**3/3 - 4*l**2 + 8*l + 1. Factor s(u).
2*(u - 2)*(u + 1)**2*(u + 2)
Determine b so that -194*b - 146*b - 200 - 129*b**2 - 81*b**2 + 11*b**4 - 55*b**3 - 16*b**4 = 0.
-5, -2
What is v in 12/7 + 4/7*v - 1/7*v**3 - 3/7*v**2 = 0?
-3, -2, 2
Let a be (54/21)/((-6)/(-28)). Factor 3*r**2 - 15*r**4 - 4*r**2 + 4*r**2 + a*r**4.
-3*r**2*(r - 1)*(r + 1)
Let m = 1 + -1. Let k = 7 + m. Factor -k*z + 93*z + 3*z**3 - 5*z - 81 - 27*z**2.
3*(z - 3)**3
Factor -2160*k + 900*k**2 + 10*k**4 - 1/4*k**5 + 1728 - 145*k**3.
-(k - 12)**3*(k - 2)**2/4
Let -21/2*d**3 + 3/2*d**4 + 24*d + 0 + 12*d**2 = 0. Calculate d.
-1, 0, 4
Let k(z) be the third derivative of -z**5/20 + 9*z**3/2 - 79*z**2. Factor k(x).
-3*(x - 3)*(x + 3)
Let b(y) be the second derivative of y**6/40 + 3*y**5/80 - 3*y**4 + 10*y**3 + 48*y**2 + 2*y - 10. Factor b(x).
3*(x - 4)**2*(x + 1)*(x + 8)/4
Let v(j) = -j**2 - j - 1. Let c(u) = -u**3 + u**2 - 2*u - 6. Let g = -34 + 32. Let s(w) = g*c(w) + 4*v(w). Let s(i) = 0. What is i?
-1, 2
Let u(w) be the third derivative of 0*w**6 - 1/455*w**7 + 0*w + 0*w**5 + 9*w**2 - 1/2184*w**8 + 0 + 0*w**3 + 0*w**4. Solve u(q) = 0 for q.
-3, 0
Let f(h) be the first derivative of 5*h**5/18 + 5*h**4/18 + h**3/9 + 6*h**2 + 9. Let j(v) be the second derivative of f(v). Determine t, given that j(t) = 0.
-1/5
Suppose 40 = 6*y + 16. Factor 21*o - 4*o**2 - 18*o - y*o**4 + 12*o**3 + 0 + 8 - 15*o.
-4*(o - 2)*(o - 1)**2*(o + 1)
Let o(l) be the second derivative of 11/12*l**3 - 7/24*l**4 + 1/40*l**5 - 5/4*l**2 - 2 + 21*l. Find x, given that o(x) = 0.
1, 5
Let s(f) = -7*f**4 + 105*f**3 + 223*f**2 + 3. Let q(x) = -2*x**4 - 2*x**3 - x**2 + 1. Let v(n) = -3*q(n) + s(n). Factor v(r).
-r**2*(r - 113)*(r + 2)
Let h(l) be the first derivative of 1/7*l**3 - 3/14*l**2 - 11 + 0*l. Find s, given that h(s) = 0.
0, 1
Factor -4 - 15*k**3 + 175*k**2 - 340*k**2 + 184*k**2.
-(k - 1)*(3*k - 2)*(5*k + 2)
Factor 12/19*j**3 + 0 + 0*j**2 - 64/19*j - 2/19*j**4.
-2*j*(j - 4)**2*(j + 2)/19
Let w(l) = 81*l + 6. Let b(f) = -f**2 + 2. Let t(y) = -3*b(y) + w(y). Factor t(g).
3*g*(g + 27)
Let l(s) = -2*s - 9. Let o(g) = g + 3. Let h(n) = -2*l(n) - 7*o(n). Let b be h(-3). Suppose 9*m**2 + 4*m + b*m - 4 + 5*m**2 = 0. Calculate m.
-1, 2/7
Let o(s) be the second derivative of -s**4/24 - 11*s**3/6 - 121*s**2/4 + 330*s. Factor o(p).
-(p + 11)**2/2
Let c(u) = -u - 4 + 0*u + 3 + 2. Let f be (-8)/10 + 1/(-5) + -2. Let h(x) = -x**3 + x**2 + 4*x - 2. Let o(l) = f*h(l) - 6*c(l). Factor o(z).
3*z*(z - 2)*(z + 1)
Let z = -14840 - -14845. Factor 1/4*r**z + 0 + 2*r**3 + 0*r - 5/4*r**4 - r**2.
r**2*(r - 2)**2*(r - 1)/4
Let p(v) be the second deriv