nd derivative of -d**7/14 - 7*d**6/15 - 13*d**5/10 - 2*d**4 - 11*d**3/6 - d**2 + 46*d. Factor b(h).
-(h + 1)**4*(3*h + 2)
Let w(q) be the third derivative of q**7/2100 - q**6/450 + q**5/300 - 2*q**3/3 + 5*q**2. Let k(a) be the first derivative of w(a). Suppose k(n) = 0. What is n?
0, 1
Suppose -r = -3*d + 12, -3*d = -6*d + 3*r + 18. Find t, given that -4*t**4 - 6*t**2 + 2*t - t**5 + 12*t**3 - 4*t**4 + d*t**5 - 2*t**2 = 0.
0, 1
Let w(l) = -4*l**4 - 4*l**3 + 7*l**2 - l - 8. Suppose -4*c + 2*c - 10 = 0. Let n(z) = -2*z**4 - 2*z**3 + 4*z**2 - 4. Let u(k) = c*n(k) + 2*w(k). Factor u(m).
2*(m - 1)**2*(m + 1)*(m + 2)
Let i(m) = -m**4 + m**3 + m**2 - m - 1. Suppose -2 = 2*y - 4. Let o(r) = 5*r**4 - 4*r**3 - 7*r**2 + 6*r + 6. Let b(w) = y*o(w) + 6*i(w). Factor b(k).
-k**2*(k - 1)**2
Let k(s) = 2*s**2 - 4*s + 2. Let l be k(1). Determine w so that -3*w**3 - 3/2*w**2 + 9/2*w**4 + 0*w + l = 0.
-1/3, 0, 1
Suppose -3*g = 3*g. Let 3/2*f**2 + g*f + 0 = 0. What is f?
0
Suppose 0 = 5*s - 3*s + 12. Let y(v) = -v**2 - 7*v - 4. Let u be y(s). What is w in 4/3*w - 2/3*w**u - 2/3 = 0?
1
Let h = -7069/188 + 134/47. Let y = h - -35. Factor -1/4*l**2 + 0 - y*l**3 + 0*l.
-l**2*(l + 1)/4
Let q(t) be the first derivative of 3*t**5/10 + 7*t**4/4 + 61*t**3/18 + 7*t**2/3 + 2*t/3 - 1. Factor q(j).
(j + 2)**2*(3*j + 1)**2/6
Let x = 13 - 8. Suppose g = -3*c + 49, x*c - 19 = -3*g + 56. Find v, given that -27/4*v + 3/4 - c*v**4 + 69/4*v**2 - 21/4*v**3 + 12*v**5 = 0.
-1, 1/4, 1
Let w(o) = -6*o**4 - 7*o**3 + 2*o + 6. Let l(i) = 0*i**4 - 3*i**3 + i**4 - 1 + 3*i**3 + i**3. Let g(m) = -5*l(m) - w(m). Find q such that g(q) = 0.
-1, 1
Let c be (-22)/(-8) - 1/(-4). Let z(p) be the first derivative of 2/9*p**c + 2 - 1/6*p**4 + 0*p**2 + 0*p. Determine s, given that z(s) = 0.
0, 1
Let f(z) be the second derivative of -2*z**7/21 + 4*z**6/5 + 8*z**5/5 - 2*z**4 - 14*z**3/3 + 35*z + 1. Solve f(a) = 0.
-1, 0, 1, 7
Let g be (-16)/(-24) - 4/18. Determine c, given that -2/9*c + 32/9*c**4 + g + 32/9*c**3 - 4*c**2 - 10/3*c**5 = 0.
-1, -1/3, 2/5, 1
Let v be 4 + (-4)/(-88) - 4. Let d(w) be the first derivative of 1/33*w**6 + 0*w**3 - 2 + v*w**4 - 4/55*w**5 + 0*w + 0*w**2. Factor d(s).
2*s**3*(s - 1)**2/11
Suppose -4*t - 8 = b - 4*b, 2*b - t - 2 = 0. Suppose -3/2*v**5 + 3/4*v - 9/4*v**4 + 9/4*v**2 + b + 3/4*v**3 = 0. Calculate v.
-1, -1/2, 0, 1
Let f(s) = -1 - 3*s + 0*s + 3*s + 3*s. Let l be f(2). Let 0*t**2 + 2/7*t + 2/7*t**l - 4/7*t**3 + 0*t**4 + 0 = 0. What is t?
-1, 0, 1
Let x(s) = s - 1. Suppose 2*g - 2*c + 4 = 0, 0 = -3*g + g - 3*c + 21. Let w be x(g). Let 2*n + 2 + 1/2*n**w = 0. Calculate n.
-2
Suppose 5*x + 15 = -2*y, -3*y - 2*y - 3 = x. Let t(g) be the third derivative of 1/30*g**5 + 0*g**4 + 1/60*g**6 + 3*g**2 + y*g**3 + 0*g + 0. Factor t(j).
2*j**2*(j + 1)
Let o(w) be the first derivative of -32/11*w - 6 - 8/11*w**2 - 2/33*w**3. What is i in o(i) = 0?
-4
Let s be (0/2)/(2 + (2 - 3)). Let w(v) be the second derivative of 1/42*v**4 + 0*v**2 + 0*v**5 - 1/105*v**6 + s - 2*v + 0*v**3. Let w(y) = 0. What is y?
-1, 0, 1
Let q = -53 - -57. Let l(a) be the first derivative of -4 - 2/3*a**3 + a + 1/5*a**5 + 0*a**2 + 0*a**q. Solve l(y) = 0.
-1, 1
Let i = 17 + -1. Let g(c) = 2*c**4 - 9*c**3 + 4*c - 2. Let h(j) = -6*j**4 + 28*j**3 - 12*j + 6. Let d(p) = i*g(p) + 5*h(p). Find x such that d(x) = 0.
-1, 1
Let i(m) = m**3 - 6*m**2 + 8*m - 6. Let b be i(5). Let g be 6/b - (-20)/6. Factor 6*v**3 - 2*v**2 + v**2 + 8*v**5 - 18*v**4 + 6*v**g.
v**2*(2*v - 1)**3
Let t(k) be the second derivative of -k**4/16 + 3*k**2/8 - 8*k. What is l in t(l) = 0?
-1, 1
Let r(m) be the second derivative of -m**4/4 - m**3/2 + 3*m**2 - m. Let r(v) = 0. What is v?
-2, 1
Suppose -5*m + 6 = -2*g, 4*m + 4*g = 2*g - 6. Factor 2/5*o**3 + 0*o + 0 + m*o**2.
2*o**3/5
Let x = -79 + 79. Let p(y) be the third derivative of 0*y**6 + 0*y + y**2 + 0*y**3 + x - 1/945*y**7 + 0*y**4 + 0*y**5. Find j such that p(j) = 0.
0
Let n(c) be the second derivative of c**7/105 + 4*c**6/75 + 3*c**5/25 + 2*c**4/15 + c**3/15 - 5*c. Find d such that n(d) = 0.
-1, 0
Factor 0 + 0*w + 9/2*w**3 - 3/4*w**4 - 27/4*w**2.
-3*w**2*(w - 3)**2/4
Let d(g) = -2*g + 1. Let t be d(-1). Factor t*r**3 - 5*r**5 - 2*r**3 + 7*r**5 - 3*r**3.
2*r**3*(r - 1)*(r + 1)
Let l(j) be the second derivative of -j**3/6 + j**2 - 2*j. Let b be l(0). Find h such that -3 + 1 - 2 + 6*h**b - h**2 - 8*h = 0.
-2/5, 2
Let p(v) = -v**4 + v**3 + v - 1. Let j(m) = 4*m**5 - 18*m**4 + 14*m**3 + 8*m**2 - 6*m - 2. Let n(w) = -j(w) + 6*p(w). Factor n(l).
-4*(l - 1)**4*(l + 1)
Let n(m) = -m**2 + 22*m + 136. Let t be n(27). Suppose 1/2*v + v**2 - 1/2*v**3 - t = 0. Calculate v.
-1, 1, 2
Let i(l) be the third derivative of l**6/840 - l**5/84 + l**4/21 - 2*l**3/21 - 2*l**2. Let i(y) = 0. What is y?
1, 2
Determine v, given that v**3 - 13/6*v**2 + 2*v - 2/3 - 1/6*v**4 = 0.
1, 2
Let j(r) be the second derivative of -r**6/15 + 9*r**5/40 - r**4/12 + 66*r. Factor j(i).
-i**2*(i - 2)*(4*i - 1)/2
Suppose b = 3*b - l + 27, -b + 3*l = 26. Let d be 8/30 + b/(-33). Factor 2/5 + d*v + 1/5*v**2.
(v + 1)*(v + 2)/5
Let z(q) be the second derivative of 2*q**7/147 + 8*q**6/105 + q**5/7 + 2*q**4/21 + 38*q. Determine d so that z(d) = 0.
-2, -1, 0
Suppose -2 - 8 = -5*d. Let t(i) be the second derivative of 3*i - 1/48*i**4 + 0*i**d + 0 + 0*i**3 + 1/80*i**5. Suppose t(j) = 0. What is j?
0, 1
Let h(p) be the first derivative of -p**5/210 + p**4/42 - p**3/21 + p**2/2 + 2. Let i(q) be the second derivative of h(q). Factor i(x).
-2*(x - 1)**2/7
Let t(l) be the first derivative of l**6/195 - 2*l**5/65 + l**4/13 - 4*l**3/39 + l**2/13 + 4*l - 3. Let x(n) be the first derivative of t(n). Factor x(c).
2*(c - 1)**4/13
Solve -3*o + 49*o**5 - o**3 + 3*o - o**4 - 48*o**5 + o**2 = 0.
-1, 0, 1
Factor 6/7 - 2/7*o**2 + 4/7*o.
-2*(o - 3)*(o + 1)/7
Let c(g) be the third derivative of -g**8/504 + 2*g**7/315 - g**6/180 + g**2 + 9*g. Factor c(f).
-2*f**3*(f - 1)**2/3
Suppose i = 3, -3*i = -2*o + i - 4. Factor -4 + o + 1 + 6*g - 9*g**2 + 2.
-3*(g - 1)*(3*g + 1)
Let m be ((-36)/14)/(12/(-56)). Let g = 12 - m. Find k, given that -2/5*k**5 + g*k + 0 + 0*k**2 + 0*k**3 + 2/5*k**4 = 0.
0, 1
Let i(s) be the second derivative of 9/50*s**6 - 27/50*s**5 + 0 + 0*s**2 + 3*s + 3/5*s**4 - 4/15*s**3. Solve i(o) = 0 for o.
0, 2/3
Suppose 5*f - 20 = 0, -s + 3*s - 30 = -5*f. Let u be (2/s)/(44/55). Solve -1/2*w**2 - u*w**3 + 1/2*w + 1/2*w**4 + 0 = 0.
-1, 0, 1
Let c be 0 - (-12)/20*1. Let g be (12/20)/((-2)/(-2)). Let -3*d + 9/5*d**2 + c*d**3 - g*d**4 + 6/5 = 0. Calculate d.
-2, 1
Determine g so that 2/7*g**3 - 5/7*g**4 + 0 + 0*g**2 + 0*g = 0.
0, 2/5
Let d(t) be the third derivative of -5*t**8/1176 + 4*t**7/245 + t**6/420 - 2*t**5/35 + t**4/21 + 21*t**2. Let d(r) = 0. What is r?
-1, 0, 2/5, 1, 2
Factor 81 - 4*s**2 + 31*s**2 + 3*s**3 + 76*s + 5*s.
3*(s + 3)**3
Suppose -693 - 4*c**2 - 107 + 80*c + 2*c**2 = 0. Calculate c.
20
Let i(g) be the second derivative of 2*g + 0*g**2 + 1/90*g**5 + 0*g**4 - 1/27*g**3 + 0. Factor i(q).
2*q*(q - 1)*(q + 1)/9
Let 18 + 12*f - 12*f**3 - 6 - 8 + 3*f**2 - 7 = 0. Calculate f.
-1, 1/4, 1
Let a(m) be the first derivative of -3/7*m + 9/14*m**2 + 3/28*m**4 - 2 - 3/7*m**3. Determine u, given that a(u) = 0.
1
Let z = -435 - -3919/9. Solve 2/9*w**2 - z*w - 2/3 = 0 for w.
-1, 3
Let d(t) be the third derivative of -2*t**7/105 - 2*t**6/15 - t**5/5 + 2*t**4/3 + 8*t**3/3 + 10*t**2. Solve d(p) = 0 for p.
-2, -1, 1
Let u be (8/28)/(6/42). Factor u*i + 1/2*i**3 - 4*i**2 + 0 + 3/2*i**4.
i*(i - 1)*(i + 2)*(3*i - 2)/2
Let q(i) = -6*i**2 + i. Let z(b) = b**2. Let u(m) = -4*q(m) - 20*z(m). Factor u(k).
4*k*(k - 1)
Let q(t) be the third derivative of -t**6/180 - t**5/18 + 13*t**4/36 - 7*t**3/9 - 17*t**2. Factor q(o).
-2*(o - 1)**2*(o + 7)/3
Let l(c) be the first derivative of 0*c**5 + 2*c**2 + 0*c + 0*c**3 + 4 + 1/180*c**6 - 1/36*c**4. Let f(j) be the second derivative of l(j). Factor f(y).
2*y*(y - 1)*(y + 1)/3
Let j(n) be the first derivative of 3*n**4/16 - 4*n**3/3 - 13*n**2/8 + 3*n/2 - 13. Find y, given that j(y) = 0.
-1, 1/3, 6
Let w(z) be the first derivative of -1/6*z**3 + 1/2*z**4 - 1/2*z**5 + 0*z + 1/6*z**6 - 5 + 0*z**2. Factor w(m).
m**2*(m - 1)**2*(2*m - 1)/2
Let d(n) be the first derivative of n**4/26 - 2*n**3/39 - 2*n**2/13 + 15. Factor d(f).
2*f*(f - 2)*(f 