= -3*b**4 - 4*b**3 - 5*b**2 + 4. Let q(n) = -4*f(n) + 9*u(n). Suppose q(r) = 0. Calculate r.
-1, 0, 1
Let v(h) be the third derivative of h**6/210 - 6*h**5/35 + 18*h**4/7 - 144*h**3/7 + 14*h**2. Determine f, given that v(f) = 0.
6
Factor -3*y**2 - 16*y**3 - 3*y**4 - 4*y**4 - y**2.
-y**2*(y + 2)*(7*y + 2)
What is p in 16*p**2 + 1 + 4*p**5 - 15*p**3 - 8*p**4 - 9 + 317*p + 7*p**3 - 313*p = 0?
-1, 1, 2
Let u(o) = 5*o**2 - 6*o - 4. Let v(y) = 3*y**2 - 3*y - 2. Let d(k) = 4*u(k) - 7*v(k). Factor d(c).
-(c + 1)*(c + 2)
Let j(q) be the first derivative of -q**3 - 6*q**2 - 12*q - 8. Factor j(v).
-3*(v + 2)**2
What is i in 81/2*i**2 - 39/2*i + 21/2*i**4 - 69/2*i**3 + 3 = 0?
2/7, 1
Let m be 108/26 - (-2)/(-13). Factor -11*g + 0 - m - 8*g**2 - g.
-4*(g + 1)*(2*g + 1)
Let s(v) be the first derivative of 8 - 1/6*v**3 - 1/6*v**2 + 0*v. What is t in s(t) = 0?
-2/3, 0
Let r(j) be the third derivative of -j**7/140 + j**6/80 + j**5/40 - j**4/16 - 21*j**2. Factor r(k).
-3*k*(k - 1)**2*(k + 1)/2
Suppose -4*i + 4*b - 6*b = -6, 0 = 5*i - 4*b + 12. Let i + 4/7*r + 2/7*r**2 - 6/7*r**3 = 0. What is r?
-2/3, 0, 1
Let p(j) = 8*j**5 + 28*j**4 + 30*j**3 + 8*j**2 - 2*j + 4. Let a(i) = i**4 + i**3 - i**2 - i + 1. Let g(y) = -4*a(y) + p(y). Factor g(n).
2*n*(n + 1)**2*(2*n + 1)**2
Let j(y) = -3*y**5 - 7*y**4 - 10*y**3 + 2*y**2 + 21*y + 3. Let z(k) = k**5 + k**4 - k + 1. Let b(o) = -j(o) - 5*z(o). Factor b(h).
-2*(h - 2)**2*(h + 1)**3
Let c(p) be the third derivative of p**7/1470 + 3*p**6/280 + 29*p**5/420 + 13*p**4/56 + 3*p**3/7 - 38*p**2 - 2. Factor c(j).
(j + 1)*(j + 2)*(j + 3)**2/7
Let y(s) be the third derivative of s**6/280 - 3*s**5/140 + 3*s**4/56 - s**3/14 + 25*s**2. Suppose y(w) = 0. What is w?
1
Let o(n) be the second derivative of -n**6/10 - 9*n**5/20 - n**4/2 - 5*n. Find i such that o(i) = 0.
-2, -1, 0
Let f(k) = k**2 - 11*k + 13. Let x be f(10). Find v, given that -4/5 - 8/5*v**2 + 2*v + 2/5*v**x = 0.
1, 2
Let a(m) = -7*m**2 + 11*m + 2. Let c(l) = -l**2 + l + 1. Let d(u) = a(u) - 6*c(u). Determine v so that d(v) = 0.
1, 4
Let c be 0 - 4/(-18) - (-4)/63. Factor -6/7*h**4 - c*h - 2/7*h**2 + 0 + 10/7*h**3.
-2*h*(h - 1)**2*(3*h + 1)/7
Let s(y) be the third derivative of -y**5/240 - y**4/32 + 3*y**2. Factor s(b).
-b*(b + 3)/4
Let o(g) be the second derivative of 2*g**7/105 - g**6/15 + g**5/15 - 4*g**2 - 7*g. Let c(f) be the first derivative of o(f). Factor c(p).
4*p**2*(p - 1)**2
Let p(a) = -2*a**2 - 3*a. Let g(w) be the third derivative of w**5/20 + w**4/6 + w**2. Let b(m) = -5*g(m) - 7*p(m). Solve b(r) = 0 for r.
0, 1
Suppose -4*o**2 - o**2 + 19 + 35*o - 49 = 0. Calculate o.
1, 6
Let s(z) be the first derivative of -1/16*z**4 + 1/24*z**6 + 0*z**2 + 0*z - 4 - 1/20*z**5 + 1/12*z**3. Determine q so that s(q) = 0.
-1, 0, 1
Let d be (1 + (-35)/21)/(2/(-5)). Factor d*n**4 + 10/3*n**2 - 10/3*n**3 - 1/3*n**5 + 1/3 - 5/3*n.
-(n - 1)**5/3
Let b(a) be the third derivative of a**9/5040 - a**8/1680 + a**7/2520 - a**4/12 + 2*a**2. Let j(y) be the second derivative of b(y). Factor j(k).
k**2*(k - 1)*(3*k - 1)
Let n(f) = f**2. Let v(j) be the third derivative of -j**7/210 - j**6/60 + j**5/20 + j**4/12 + j**3/6 - j**2. Let t(a) = -3*n(a) + v(a). Factor t(u).
-(u - 1)*(u + 1)**3
Suppose 13*z - 10 = 11*z. Let s(r) be the first derivative of -1 + 1/3*r**3 + 0*r + 1/5*r**z - 1/2*r**4 + 0*r**2. Factor s(o).
o**2*(o - 1)**2
Suppose 0 = -h + 3 - 0. Let d be ((-8)/(-6))/(-1 - -3). Determine o so that 0 + d*o**h + 0*o + 0*o**2 = 0.
0
Let w(d) = d + 2. Let i(k) = -k - 3. Let m be i(-6). Let b be w(m). Factor 3*z**3 - 3*z - 5*z**3 + 4*z + z**b.
z*(z - 1)**2*(z + 1)**2
Let f(s) be the third derivative of s**7/315 - s**5/45 + s**3/9 - s**2. Suppose f(y) = 0. What is y?
-1, 1
Suppose 0 = -5*j - 35. Let o = -5 - j. Solve w**4 + w**o - w**2 + w**3 = 0.
-1, 0
Suppose 4/3 + 2*a - 2/3*a**2 - 2*a**3 - 2/3*a**4 = 0. Calculate a.
-2, -1, 1
Suppose -4*i = -5*a + 32, -4*i + 1 - 33 = 2*a. Let b(x) = -x - 5. Let o be b(i). Factor -4/3*y**o - 1/3*y + 0 - 4/3*y**2.
-y*(2*y + 1)**2/3
Factor 6/7*g**3 - 8/7*g + 0 + 0*g**2 - 2/7*g**4.
-2*g*(g - 2)**2*(g + 1)/7
Let s(f) = -3*f**2 - 62*f + 23. Let k be s(-21). Solve 8/7*q - 4/7 - 4/7*q**k = 0.
1
Let s(v) be the second derivative of 2*v**6/75 + 6*v**5/25 + 3*v**4/5 + 8*v**3/15 + 5*v. Solve s(c) = 0.
-4, -1, 0
Let l be 1/2*78/117. Find m such that 0 + 0*m**2 - l*m**3 + 0*m = 0.
0
Let d(n) be the second derivative of -n**4/90 + 2*n**3/15 - n**2/3 - 14*n. Determine a so that d(a) = 0.
1, 5
Let 3*m**2 + 2*m**4 + 2 - 2 - 3*m**4 - 2*m = 0. What is m?
-2, 0, 1
Let h(c) = -c**2 - 6*c + 9. Let w be h(-7). Let p = w - 2. What is f in p*f + 0 - 1/2*f**2 - 1/2*f**4 - f**3 = 0?
-1, 0
Factor 6/5 - 16/5*b**2 - 2*b.
-2*(b + 1)*(8*b - 3)/5
Let h be (-1 + 1 + -1)*9. Let b be (10/15)/((-3)/h). What is o in 0 + 2/3*o - 5/3*o**b - 3*o**3 + 7/3*o**5 + 5/3*o**4 = 0?
-1, 0, 2/7, 1
Let x(q) be the third derivative of -q**8/420 + 2*q**7/175 + q**6/150 - 11*q**5/75 + 2*q**4/5 - 8*q**3/15 + 20*q**2. Let x(w) = 0. What is w?
-2, 1, 2
Let o(a) = -3*a - 1. Let h be o(-1). Factor 3*i**4 + i**2 - i**2 - h*i**4 - i**2.
i**2*(i - 1)*(i + 1)
Let q(v) be the third derivative of -v**7/300 + v**6/180 + v**5/150 + v**3/6 + v**2. Let l(w) be the first derivative of q(w). Suppose l(r) = 0. What is r?
-2/7, 0, 1
Let t(w) be the third derivative of 9*w**2 + 0*w**3 + 0*w - 1/30*w**6 + 0 - 1/105*w**7 + 1/6*w**4 + 1/30*w**5. Solve t(u) = 0 for u.
-2, -1, 0, 1
Let d(l) = 3*l**5 - 4*l**4 + 6*l**2 + 5*l - 6. Let m(f) = f**3 + f - 1. Let r(a) = -5*d(a) + 20*m(a). Let r(i) = 0. Calculate i.
-1, -2/3, 1
Suppose 3*a = a. Let x = a + 0. Factor 0*d**3 + 2/9*d**4 + x - 2/9*d**2 + 0*d.
2*d**2*(d - 1)*(d + 1)/9
Let m(a) be the third derivative of 1/60*a**6 - 7/48*a**4 - 4*a**2 + 0*a - 1/24*a**5 + 1/6*a**3 + 0. Suppose m(z) = 0. Calculate z.
-1, 1/4, 2
Suppose 9*m = -13 + 13. Let g be 4/9 - (-2)/9. Let g*n**2 + 0 + m*n**3 - 4/3*n**5 - 2*n**4 + 0*n = 0. Calculate n.
-1, 0, 1/2
Let z be ((-4)/6)/((-4)/18). Let q(u) = u**2 - u - 6. Let t be q(z). Factor t + 1/4*s**2 + 0*s - 1/4*s**3.
-s**2*(s - 1)/4
Let b(k) be the third derivative of k**7/70 + 9*k**6/80 + 3*k**5/10 + k**4/4 + 47*k**2. Let b(d) = 0. Calculate d.
-2, -1/2, 0
Let b(p) be the first derivative of -3*p**5/5 - 9*p**4/4 - 3*p**3 - 3*p**2/2 + 8. Factor b(j).
-3*j*(j + 1)**3
Let t(v) be the third derivative of -v**9/30240 + v**8/5040 - v**5/20 + 2*v**2. Let m(n) be the third derivative of t(n). Factor m(d).
-2*d**2*(d - 2)
Let h(l) be the second derivative of -2*l**7/21 - 4*l**6/15 + 2*l**4/3 + 2*l**3/3 + l. Factor h(b).
-4*b*(b - 1)*(b + 1)**3
Let g(t) be the first derivative of 7/22*t**4 + 3/11*t**6 + 0*t**2 + 0*t + 2/33*t**3 + 6/11*t**5 - 3. Determine j, given that g(j) = 0.
-1, -1/3, 0
Let -3/2*h - 3/2*h**4 + 3/2*h**2 + 0 + 3/2*h**3 = 0. What is h?
-1, 0, 1
Let a(r) = -23*r**3 - 8*r**2 + 6*r + 2. Suppose 0 = b - 5 + 4. Let g(p) = p**3 - p - 1. Let w(t) = b*a(t) + 2*g(t). Factor w(k).
-k*(3*k + 2)*(7*k - 2)
Let w = 35 + -34. Let s be 18*1*w/5. Factor -32/5*q**2 + 48/5*q - s.
-2*(4*q - 3)**2/5
Let z = -7 - -19. Let o(w) = w**2 - 11*w - 10. Let a be o(z). Suppose -1/2*n**a + 0 + 0*n = 0. Calculate n.
0
Let b be 0 + -1*(-2 - 8). Suppose 3*x + 1 = -q + b, 3*x + 3 = 3*q. What is m in -25/6*m**4 + 10/3*m**q + 0 + 0*m - 2/3*m**2 = 0?
0, 2/5
What is k in 1/4*k**3 + 0 + 1/4*k**2 - 1/4*k - 1/4*k**4 = 0?
-1, 0, 1
Let i be -7*(-1)/1 + -4. Let t(v) be the third derivative of -1/6*v**4 - 4/9*v**i + 0*v + v**2 - 1/360*v**6 - 1/30*v**5 + 0. Factor t(b).
-(b + 2)**3/3
Let x(d) = 2*d - 6. Let c be x(5). Suppose c = -b + 3*b. Let 3*n**4 + 0*n**2 - 2*n**b - n**4 = 0. Calculate n.
-1, 0, 1
Let q(d) be the first derivative of 2*d**5/75 - 2*d**4/15 - 11. Solve q(b) = 0.
0, 4
Let y be (2/(-10) - 5/(-25)) + 0. Determine s, given that -2/5*s**3 + 1/5 + 2/5*s + y*s**2 - 1/5*s**4 = 0.
-1, 1
Let a be 33/44 + 1/(-3). Let b(r) be the first derivative of 0*r + 1 + 3/16*r**4 + 1/4*r**2 + a*r**3 - 1/20*r**5 - 1/24*r**6. Find w, given that b(w) = 0.
-1, 0, 2
Let k(h) be the third derivative of -h**8/26880 + h**6/2880 + h**4/8 - 4*h**2. Let i(r) be the second derivative of k(r). Suppose i(a) = 0. Calculate a.
-1, 0, 1
Suppose -4*y + 2*o = -6 - 4, 5 = -4*y + 5*o. Determine k, given that 0*k**2 + 0*k 