) = 0. What is l?
0, 1
Let h be 65/(-660) - (-8)/44. Let x(b) be the second derivative of -1/20*b**5 + 0 - 2*b - h*b**4 + 0*b**3 + 0*b**2. Factor x(i).
-i**2*(i + 1)
Determine j, given that 10/3*j - 2/3*j**2 + 0 = 0.
0, 5
Let x(f) = f**3 + 19*f**2 - 6*f - 114. Let b be x(-19). Solve 2/5*l**2 + b + 2/5*l = 0 for l.
-1, 0
Suppose z**2 - 3/2*z + 1/2*z**3 + 0 = 0. What is z?
-3, 0, 1
Let y(p) be the first derivative of -2*p**6/15 - 9*p**5/25 - 3*p**4/10 - p**3/15 + 4. Factor y(z).
-z**2*(z + 1)**2*(4*z + 1)/5
Let h(r) be the first derivative of r**8/168 + r**7/105 - r**6/60 - r**5/30 + r**2 - 1. Let d(m) be the second derivative of h(m). Factor d(q).
2*q**2*(q - 1)*(q + 1)**2
Let m(a) be the third derivative of -a**7/120 - 23*a**6/480 - 9*a**5/80 - 13*a**4/96 - a**3/12 + 12*a**2. Let m(k) = 0. Calculate k.
-1, -2/7
Let m(n) be the second derivative of -2*n**7/105 + n**5/15 - n**2/2 + 4*n. Let s(u) be the first derivative of m(u). Let s(g) = 0. Calculate g.
-1, 0, 1
Let d be (-2)/8 + (-168)/(-32). Suppose -d*s = 4*v - s, s = -3*v. What is m in 1/2*m**2 + m + v = 0?
-2, 0
Let i(c) be the second derivative of -c**6/300 - c**5/200 + c**4/40 + c**3/60 - c**2/10 - 6*c. Solve i(v) = 0 for v.
-2, -1, 1
Let y(g) = -g**3 + 3*g**2 - g + 1. Let k be y(2). Factor -6*r - 5*r**k + 3*r**2 + 0*r + 20*r**3 - 12*r**2.
3*r*(r - 1)*(5*r + 2)
Suppose 3*q - 9 = -4*a, -4*q + 10 = -5*a - 2. Factor 0*t**3 + a + 2/9*t**4 - 2/9*t**2 + 0*t.
2*t**2*(t - 1)*(t + 1)/9
Let q(n) be the first derivative of -n**5/240 + n**4/48 - n**2/2 + 1. Let p(o) be the second derivative of q(o). Factor p(s).
-s*(s - 2)/4
Let j(l) be the third derivative of -3/10*l**5 - 1/2*l**4 - 1/70*l**7 - 1/10*l**6 - 1/2*l**3 + 0 + 5*l**2 + 0*l. Solve j(n) = 0 for n.
-1
Let v(w) = w**2 + 4*w - 1. Let z be v(-5). Let a(p) = p**3 - 6*p**2 + p - 4. Let u be a(6). Factor -11*n**u - 5*n**4 + 3*n**2 - 2*n**5 - 3*n**z - 2*n - 12*n**3.
-2*n*(n + 1)**4
Let u(t) = 4*t**3 - 4. Let f(k) = 7*k**3 - k**2 + k - 7. Let l(d) = -6*f(d) + 10*u(d). Solve l(w) = 0 for w.
1
Let -1/2*d**3 + 5/2*d - 3/2 - 1/2*d**2 = 0. What is d?
-3, 1
Let k(q) be the first derivative of -q**8/448 - q**7/280 + q**6/160 + q**5/80 + q**2/2 + 1. Let w(v) be the second derivative of k(v). Factor w(s).
-3*s**2*(s - 1)*(s + 1)**2/4
Let t(r) be the first derivative of r**4/6 + 2*r**3/3 - 8*r/3 + 5. Suppose t(c) = 0. What is c?
-2, 1
Let c(d) be the second derivative of -2*d**7/7 + 22*d**6/15 - 3*d**5 + 3*d**4 - 4*d**3/3 + 7*d. Factor c(a).
-4*a*(a - 1)**3*(3*a - 2)
Let p(b) be the second derivative of -b**7/630 - b**6/360 + b**5/180 + b**4/72 - b**2 - b. Let v(l) be the first derivative of p(l). Factor v(n).
-n*(n - 1)*(n + 1)**2/3
Suppose 0 + 20 - 2*q**2 + 7*q**2 - 20*q = 0. Calculate q.
2
Let c(d) be the third derivative of d**8/2016 + d**7/630 + d**6/720 + 44*d**2. Factor c(n).
n**3*(n + 1)**2/6
Suppose -c = 10 - 13. Let f(i) be the first derivative of 3 - 4/3*i + 2/3*i**2 - 1/9*i**c. Factor f(r).
-(r - 2)**2/3
Let m(t) be the second derivative of t + 1/15*t**3 - 2/5*t**2 + 1/30*t**4 + 0. Suppose m(r) = 0. Calculate r.
-2, 1
Find q, given that 3*q**4 + 9*q**3 + 17*q**2 + 0*q - 12*q + 3*q**5 - 5*q**2 - 15*q**4 = 0.
-1, 0, 1, 2
Let k(t) = -6*t - 1. Let u be k(-1). Suppose 0*o - 3*o - 20 = -5*c, o = u*c - 20. Factor 3/5*s**5 + 0 + 0*s**c + 3/5*s - 6/5*s**3 + 0*s**2.
3*s*(s - 1)**2*(s + 1)**2/5
Suppose -3*z + u = -0*z + 1, 5*z = 2*u - 2. Find a such that 0 + 1/4*a**3 + 0*a + 1/4*a**4 + z*a**2 = 0.
-1, 0
Let m = 838/5 + -166. Find q such that 0*q + m - 6/5*q**2 - 2/5*q**3 = 0.
-2, 1
Suppose -u - 4*u - 20 = 2*s, -3*u = 3*s + 12. Let t be 4/11 + s/5. Find q, given that -t - 12/11*q**4 + 16/11*q**2 - 18/11*q**5 + 28/11*q**3 - 10/11*q = 0.
-1, -1/3, 2/3, 1
Let a(w) be the first derivative of -5*w**7/504 + w**6/72 + w**5/40 + w**4/72 + 4*w**3/3 - 1. Let q(y) be the third derivative of a(y). Factor q(s).
-(s - 1)*(5*s + 1)**2/3
Let r(a) = a**2 - 3*a + 7. Let g be r(4). Let k be -23*-2*2/6. Factor -1/3 - k*p**3 - 3*p - 3*p**5 - g*p**4 - 10*p**2.
-(p + 1)**3*(3*p + 1)**2/3
Let j(a) = 5*a**2 + 5*a. Let t(p) = -11*p**2 - 11*p. Suppose -4 = 4*h + 48. Let q(m) = h*j(m) - 6*t(m). Factor q(g).
g*(g + 1)
Let n(r) = -4*r**5 + 10*r**4 - r**3 - 8*r**2 + 7*r. Let h(z) = -z**4 - z**3 - z - 1. Let t(p) = h(p) + n(p). Suppose t(x) = 0. Calculate x.
-1, 1/4, 1
Let o be (6 - 6) + 1 + 3/(-3). Factor 2/7*y**3 - 2/7*y + o*y**2 + 0.
2*y*(y - 1)*(y + 1)/7
Let r(l) be the first derivative of 2*l**5/5 + l**4/2 - 6*l**3 + 11*l**2 - 8*l + 1. Let r(s) = 0. Calculate s.
-4, 1
Let s(m) be the first derivative of 2 + 9/4*m**4 - 2*m**3 - 21/2*m**2 - 6*m. Factor s(y).
3*(y - 2)*(y + 1)*(3*y + 1)
Let o = -4 - -10. Let g be 9/6*28/o. Find c such that 3 - g*c**2 - 5 - 11*c - 2*c**2 = 0.
-1, -2/9
Let f(g) be the first derivative of -1/2*g**2 + 0*g**5 + 1/2*g**4 - 1/6*g**6 - 1 + 0*g + 0*g**3. Factor f(u).
-u*(u - 1)**2*(u + 1)**2
Let f(n) be the second derivative of -3*n**6/55 + 12*n**5/55 - 2*n**4/11 - 2*n. Factor f(r).
-6*r**2*(r - 2)*(3*r - 2)/11
Let l be (-28)/(-154) - 47/(-165). Let q(v) be the first derivative of 0*v + l*v**5 + 11/9*v**3 + 4/3*v**4 + 2 + 1/3*v**2. Let q(g) = 0. Calculate g.
-1, -2/7, 0
Let l(r) = -r**3 + 7*r**2 - 7*r + 9. Let y be l(6). Suppose -5 - 1 = -y*h. Determine q, given that 4 - 5*q**2 + q**2 - 6*q + 4*q**2 + h*q**2 = 0.
1, 2
Let b(d) be the third derivative of -d**7/525 - d**6/150 - d**5/150 + 7*d**2 + 3*d. Solve b(n) = 0 for n.
-1, 0
Let o(g) be the third derivative of 0*g + 4/3*g**3 - 1/30*g**6 + 1/105*g**7 + 1/3*g**4 - 5*g**2 + 0 - 1/10*g**5. Factor o(j).
2*(j - 2)**2*(j + 1)**2
Let l = 2 - 0. Suppose l*n + 1 = 5. Determine w so that 1/2 - w**3 + w + 0*w**n - 1/2*w**4 = 0.
-1, 1
Suppose 0 = -2*v - 2*v + 8. Let a = 55 - 51. Solve -5*s**v + s**3 + 2*s**2 + s**2 + 5*s - a*s = 0.
0, 1
Factor 2/5*a - 1/10*a**2 - 3/10.
-(a - 3)*(a - 1)/10
Suppose -5*z + p + 13 = -3*z, 0 = z - p - 7. Determine g, given that -2 - z*g**2 - 2*g**3 + 6*g + 4*g**3 + 0 + 0 = 0.
1
Determine h, given that -2/3*h**3 + 0 - 2/3*h**4 + 2/3*h**5 + 2/3*h**2 + 0*h = 0.
-1, 0, 1
Let z(t) = 3*t**3 - 24*t**2 - 63*t - 48. Let c(j) = -7*j**3 + 48*j**2 + 126*j + 95. Let o(n) = 6*c(n) + 13*z(n). Factor o(w).
-3*(w + 2)*(w + 3)**2
Let b(g) be the first derivative of 5*g**3/3 + 20*g**2 + 35*g - 8. Suppose b(x) = 0. What is x?
-7, -1
Let y be -2 - (-20)/7 - (-32 - -32). Factor 2/7*b - 2/7*b**3 - y + 6/7*b**2.
-2*(b - 3)*(b - 1)*(b + 1)/7
Suppose -2*y - 3*f - 3 = 3, -y = 3*f + 6. Let v be y + (0 - 3) + 5. Solve 0*c + 0 + 2/3*c**4 - 2/3*c**v - 2/3*c**3 + 2/3*c**5 = 0.
-1, 0, 1
Let p = -38/9 + 77/18. Let v(d) be the second derivative of -4/3*d**2 + 4/9*d**3 - p*d**4 - 3*d + 0. Find a, given that v(a) = 0.
2
Let c = -1 + 1. Let l = -15 + 18. Let q**5 + c*q**3 + 4*q**3 - 5*q**2 - 5*q + l*q**2 + 4*q**4 - 2 = 0. Calculate q.
-2, -1, 1
Let t = -8 - -11. Determine p so that -2*p + p**2 - 4*p**3 + 2*p**t + 3*p**2 = 0.
0, 1
Let q(i) be the third derivative of -i**7/70 - i**6/10 - 3*i**5/20 + i**4/2 + 2*i**3 - 9*i**2. Factor q(o).
-3*(o - 1)*(o + 1)*(o + 2)**2
Let y(i) be the second derivative of i**4/12 + i**3 - 7*i**2/2 + 20*i. Factor y(b).
(b - 1)*(b + 7)
Let m(n) be the second derivative of 11/8*n**3 + 0 - 21/16*n**4 - 1/8*n**6 + 51/80*n**5 - 3/4*n**2 - 2*n. Let m(d) = 0. What is d?
2/5, 1
Let a(k) = 128*k + 3. Let g be a(0). Let o = 5 - 14/3. Factor -o*i**2 - 2*i - g.
-(i + 3)**2/3
Let i be 0 + 5 + (-6)/2. Let k(a) be the second derivative of a + 0 + 4/3*a**i + 1/18*a**4 - 4/9*a**3. Factor k(y).
2*(y - 2)**2/3
Let q(g) = g**3 - 5*g**2 - 5*g - 2. Let r be q(6). Solve -r - 5*x + 3 + 5*x + x**2 = 0.
-1, 1
Let -1/3*x**4 - 1/3 - 2*x**2 + 4/3*x**3 + 4/3*x = 0. Calculate x.
1
Let c(u) be the third derivative of -u**6/72 + u**5/9 - 5*u**4/24 - 8*u**2. Factor c(p).
-5*p*(p - 3)*(p - 1)/3
Let y = -33 - -100/3. Let m(n) be the first derivative of -3 + 1/4*n**4 - 1/6*n**6 + 0*n - y*n**3 + 1/5*n**5 + 0*n**2. Factor m(c).
-c**2*(c - 1)**2*(c + 1)
Let l be (33/(-11) - (-3)/2)*-2. Let o(u) be the second derivative of 3/10*u**2 - 3/10*u**l + 3/20*u**4 - 3/100*u**5 + 0 - 3*u. Let o(n) = 0. What is n?
1
Let q(i) be the second derivative of -i**9/52920 - i**8/23520 + i**7/8820 + i**6/2520 + 7*i**4/12 + 7*i. Let a(x) be the third derivat