 1/(-4) - g/(-20). Find d such that 2*d**3 + j - d**2 - d**5 - 4*d - d**2 + 3*d + d**4 = 0.
-1, 1
Let a(m) be the third derivative of m**8/2016 + m**7/315 + m**6/144 + m**5/180 + 8*m**2. Factor a(p).
p**2*(p + 1)**2*(p + 2)/6
Suppose -4*q = -3*q. Find b such that q*b**2 + 0 - 1/2*b**3 + 0*b + 1/2*b**4 = 0.
0, 1
Let l(y) = 12*y**2 - 82*y + 178. Let b(r) = -4*r**2 + 27*r - 59. Let i(k) = -14*b(k) - 5*l(k). Factor i(q).
-4*(q - 4)**2
Factor -2/5*u**2 + 6/5*u + 0.
-2*u*(u - 3)/5
Let k(m) be the first derivative of -2*m - 1/70*m**5 + 0*m**3 + 0*m**2 + 1 - 1/42*m**4. Let q(r) be the first derivative of k(r). Factor q(s).
-2*s**2*(s + 1)/7
Factor -33*w**2 - 68*w - 27*w**2 + 0 + 0 - 8.
-4*(w + 1)*(15*w + 2)
Let k be 0*((-5)/10 + (-6)/(-4)). Factor -1/3*n**2 - n + k.
-n*(n + 3)/3
Let s(o) = 2*o**2 + o - 1. Let h = 0 + 2. Let f(j) = 6*j - 2*j - h*j + 3*j**2 - 1. Let v(c) = -3*f(c) + 4*s(c). Factor v(x).
-(x + 1)**2
Let p(j) be the second derivative of -j**7/147 - j**6/105 + j**5/35 + j**4/21 - j**3/21 - j**2/7 + 14*j. Let p(b) = 0. Calculate b.
-1, 1
Let x(y) = -4*y**3 + 7*y**5 + 0 + 7*y**4 + 2 + 2*y + 0. Let f(l) = -21*l**3 + 36*l**4 + 25 + 35*l**5 + 11*l + 25 - 39. Let n(q) = 2*f(q) - 11*x(q). Factor n(d).
-d**3*(d + 1)*(7*d - 2)
Let x(l) = l + 8. Let c be x(-6). Suppose 13 = 2*g - 3*f - c*f, -4*g = -3*f - 19. Factor z - z**4 + 3*z**3 - 3*z**2 - z**4 + z**g.
-z*(z - 1)**3
Let l(v) be the third derivative of v**7/6300 - v**4/12 - 2*v**2. Let i(w) be the second derivative of l(w). Factor i(n).
2*n**2/5
Factor 32/3 + 2/3*a**2 - 16/3*a.
2*(a - 4)**2/3
Let v(h) be the third derivative of -h**7/42 - 5*h**2. Let v(b) = 0. What is b?
0
Let b(z) = 2*z**2 + 0*z**3 - 4*z**3 + z - z**3 + 4*z**3. Let w be b(2). Factor a**4 - 2*a**3 + a**2 + a + a**3 - w*a**4.
-a*(a - 1)*(a + 1)**2
Factor -9/7*z**2 + 0*z + 0 - 3/7*z**3.
-3*z**2*(z + 3)/7
Let i = -11 + 53. Factor m - 32*m**2 - 7*m - 18*m**4 - 2*m - i*m**3.
-2*m*(m + 1)*(3*m + 2)**2
Let b(u) be the first derivative of -2*u**5/55 - 5*u**4/22 - 2*u**3/11 + 9*u**2/11 - 14. Factor b(x).
-2*x*(x - 1)*(x + 3)**2/11
Let h(w) be the third derivative of 5/8*w**6 + w**3 + 0*w - w**2 + 0 - 9/70*w**7 - 21/20*w**5 + 3/8*w**4. Factor h(j).
-3*(j - 1)**3*(9*j + 2)
Let c = -23 + 23. Let i(h) be the second derivative of -2*h - 2/21*h**3 + c + 1/42*h**4 + 1/7*h**2. Let i(a) = 0. Calculate a.
1
Find m, given that 1/8*m - 3/8*m**2 + 1/4 + 1/8*m**4 - 1/8*m**3 = 0.
-1, 1, 2
Let v be 1 + -1 - 15/(-3). Suppose -v*u = -19 - 1. Suppose -2*r**u + 2*r**2 - 4*r**2 - 2*r**5 + 2*r**3 + 4*r**4 = 0. What is r?
-1, 0, 1
Let q = 30 - 25. Determine d, given that -q*d**3 - 1/2*d**5 - 5*d**2 - 5/2*d - 5/2*d**4 - 1/2 = 0.
-1
Let u(k) = -3*k**3 + 19*k**2 - 5*k - 4. Let z be u(6). Factor 1/2 + 0*j - 1/2*j**z.
-(j - 1)*(j + 1)/2
Let i(n) = -9 + 7*n**2 - 7*n**3 - 10*n + 5*n**2 + 6*n**3. Let k be i(11). Factor d**2 + d**k - 3*d + 5*d.
2*d*(d + 1)
Let m(c) be the second derivative of 0 - 1/8*c**4 - 5*c - 2*c**2 + 1/60*c**5 + 1/3*c**3. Let l(t) be the first derivative of m(t). Factor l(r).
(r - 2)*(r - 1)
Suppose -11 + 17 = 3*u. Suppose -u*d + 2 + 1/2*d**2 = 0. What is d?
2
Factor -3*s**2 - 4*s**3 - 3/2*s**4 + 0*s + 1/2.
-(s + 1)**3*(3*s - 1)/2
Let z(u) be the third derivative of -u**5/240 - u**4/96 + 29*u**2. Factor z(t).
-t*(t + 1)/4
Let h be -1*(2/1 + -1). Let k(a) = a**3 + a**2 + a + 1. Let t be k(h). Find d, given that -6/7*d**4 + t*d + 0 - 6/7*d**3 - 2/7*d**5 - 2/7*d**2 = 0.
-1, 0
Factor -s**2 - 95*s + 94*s - 2*s**3 + 3*s**3 + s**4 + 0*s**2.
s*(s - 1)*(s + 1)**2
Factor 1/2*k**5 + 1/2*k**3 + 0 + 3/2*k**2 - 3/2*k**4 - k.
k*(k - 2)*(k - 1)**2*(k + 1)/2
Let b(n) be the third derivative of 0*n + 1/210*n**5 + 3/7*n**3 + 3*n**2 - 1/14*n**4 + 0. What is s in b(s) = 0?
3
Let b(f) be the second derivative of -1/24*f**3 - 3*f + 0 + 1/48*f**4 + 0*f**2. Factor b(w).
w*(w - 1)/4
Let i(f) be the first derivative of 2 + 0*f - 1/12*f**3 + 1/8*f**2. Find g such that i(g) = 0.
0, 1
Let a = -10 + 12. Let 3*i**2 + 10*i**a + i**3 - 4*i**2 - 12 + 2*i**3 = 0. What is i?
-2, 1
Let d be (-2)/6*0*(-10 + 9). What is b in -12/5*b**2 + 2/5*b + 18/5*b**3 + d - 8/5*b**4 = 0?
0, 1/4, 1
Let d(p) = -p**3 + p**2 - 1. Let h(l) be the first derivative of l**4 - l**2 + 1. Let w(z) = 2*d(z) + h(z). Factor w(n).
2*(n - 1)*(n + 1)**2
Let d(f) be the first derivative of -4*f**3/27 - 2*f**2/9 + 8*f/9 + 13. Factor d(y).
-4*(y - 1)*(y + 2)/9
Let p(c) = -1. Let o(f) = -5*f**4 - 20*f**3 + 80*f + 84. Let s(l) = o(l) + 4*p(l). Factor s(i).
-5*(i - 2)*(i + 2)**3
Let n(m) be the first derivative of -m**6/51 - 6*m**5/85 - m**4/17 + 4*m**3/51 + 3*m**2/17 + 2*m/17 + 5. Solve n(p) = 0.
-1, 1
Let r be 6/21 + (-76)/(-28). Suppose u + r*j = -12, 37 + 3 = 5*u - 5*j. Suppose 8*p**u - 18/5*p**4 + 4/5*p - 26/5*p**2 + 0 = 0. What is p?
0, 2/9, 1
Let h be (-1)/(-4) + (1 - 33/(-12)). Factor 0 + 0*l - 2/5*l**h + 2/5*l**3 + 2/5*l**2 - 2/5*l**5.
-2*l**2*(l - 1)*(l + 1)**2/5
Let z(k) be the second derivative of -k**7/525 - k**6/300 + k**5/150 + k**4/60 + k**2/2 + 2*k. Let w(o) be the first derivative of z(o). Factor w(i).
-2*i*(i - 1)*(i + 1)**2/5
Determine x, given that 58/11*x + 60/11*x**2 + 14/11*x**3 + 12/11 = 0.
-3, -1, -2/7
Let l(s) be the third derivative of 0*s**5 + 1/112*s**8 + 0*s**4 + 0 + 0*s**3 + 0*s**7 - 2*s**2 + 0*s + 0*s**6. Factor l(p).
3*p**5
Let d(x) be the third derivative of x**8/1848 + 2*x**7/1155 - x**5/165 - x**4/132 + 5*x**2. Find g, given that d(g) = 0.
-1, 0, 1
Suppose 6 = -0*f - 2*f, 0 = k + 4*f + 12. Determine j, given that 6*j**2 - 8*j + k*j**2 + 4 - 2 = 0.
1/3, 1
Find k such that 2/13*k**2 - 46/13*k**3 + 12/13 + 46/13*k - 14/13*k**4 = 0.
-3, -1, -2/7, 1
Let v(h) be the second derivative of -h**4/84 - h**3/21 + 4*h. Find z, given that v(z) = 0.
-2, 0
Factor 164*w**4 + 9*w**3 - 3*w**2 + 3*w**2 - 170*w**4 - 3*w.
-3*w*(w - 1)**2*(2*w + 1)
Let z(w) be the first derivative of 3*w**5/10 + 3*w**4/4 + w**3/2 + 5. Let z(h) = 0. What is h?
-1, 0
Let c(l) be the first derivative of -l**8/1008 + l**7/315 - l**6/360 - l**2/2 - 1. Let u(z) be the second derivative of c(z). What is a in u(a) = 0?
0, 1
Suppose -o = -3*o. Let w(p) be the third derivative of 1/105*p**7 + p**2 + 0*p**3 - 1/30*p**6 + 0 + 0*p**5 + o*p + 0*p**4. Factor w(q).
2*q**3*(q - 2)
Let l(n) be the first derivative of 2 + n**2 + 2*n - 1/2*n**4 - 1/10*n**5 - 1/2*n**3. Determine v so that l(v) = 0.
-2, -1, 1
Let x(g) = g**3 - 2*g**2 + 2*g - 2. Let q be x(2). Let f be 3 + (-1 + 1 - -1). Solve -2*l**4 + l**2 - 3*l**q + 4*l**f = 0.
-1, 0, 1
Factor -1/5*b**5 - 4/5*b**2 - 8/5*b**3 + 0*b - b**4 + 0.
-b**2*(b + 1)*(b + 2)**2/5
Let l(m) be the third derivative of m**8/264 + m**7/35 - 59*m**6/660 - 7*m**5/110 + 13*m**4/33 - 4*m**3/11 - 41*m**2 + 1. Solve l(q) = 0.
-6, -1, 2/7, 1
Suppose -3/4*w**4 + 1/4*w**5 + 3*w**2 - 1/2*w**3 - 2*w + 0 = 0. What is w?
-2, 0, 1, 2
Let -16/5*t**3 + 0 + 0*t + 4/5*t**2 + 16/5*t**5 - 4/5*t**4 = 0. Calculate t.
-1, 0, 1/4, 1
Let t(c) be the second derivative of -5*c**7/147 - 4*c**6/35 - 9*c**5/70 - c**4/21 - 6*c. Suppose t(s) = 0. What is s?
-1, -2/5, 0
Let v(w) be the third derivative of -4*w**2 + 1/48*w**4 + 0*w + 0*w**5 - 1/240*w**6 + 0*w**3 + 0. Factor v(q).
-q*(q - 1)*(q + 1)/2
Let r = -3 + 1. Let o(i) = 2*i**2 - 11*i + 7. Let q(d) = d**2 - 4*d + 2. Let w(n) = r*o(n) + 7*q(n). Factor w(s).
3*s*(s - 2)
Let b = -9 - -13. Factor f**3 + b*f + f**2 - f + f**2 - 2*f.
f*(f + 1)**2
Let t(m) = 10*m**2 - m + 11. Let h(x) = x**2 + 1. Let w(s) = -22*h(s) + 2*t(s). Let w(a) = 0. What is a?
-1, 0
Let a(j) be the second derivative of j**4/24 - j**3/2 + 32*j. Factor a(m).
m*(m - 6)/2
Let g be 1 + -2 + (3 - -1). Let d(b) = -b**3 + 2*b**2 + 4*b - 1. Let x be d(g). Solve 0 + 2/3*u + 1/3*u**x = 0 for u.
-2, 0
Let l be -3 - (-6 - -4 - 3). Factor -2*j**4 - 4*j - 6*j**3 + 2*j**2 - 3*j**l + 2*j**2 + 9*j**2 + 2*j**5.
2*j*(j - 1)**3*(j + 2)
Let g = 3 - 3. Let v(c) = -c**2. Let i be v(g). Factor 1/3*n**3 + i + 0*n + 0*n**2.
n**3/3
Let n = 1272/5 + -254. Factor 3/5*i + 0 - 1/5*i**3 - n*i**2.
-i*(i - 1)*(i + 3)/5
Let s = 77 + -73. Let z(v) be the second derivative of 0 + 1/24*v**s - 4*v - 1/12*v**3 + 0*v**2. Determine q, given that z(q) = 0.
0, 1
Let z(a) be the third derivative of -a**10/75600 + a**8/8400 - a**6/1800 - a**4/6 - a**2. Let y(u) b