d derivative of -x**9/1512 + x**8/280 - x**7/140 + x**6/180 + 5*x**3/6 + x. Let k(p) be the second derivative of s(p). Factor k(a).
-2*a**2*(a - 1)**3
Let d(c) = 2*c**3 + 5*c**2 - 7*c - 5. Let o(s) = s**3 + 3*s**2 - 4*s - 3. Let j(b) = -6*d(b) + 10*o(b). Factor j(u).
-2*u*(u - 1)*(u + 1)
Factor -3 - 33*f - 45*f**3 + 11 - 27*f + 63*f**2 + 55*f**2.
-(f - 2)*(5*f - 2)*(9*f - 2)
Let j(r) be the first derivative of r**6/60 - r**5/50 - 9*r**4/40 - 11*r**3/30 - r**2/5 - 26. What is o in j(o) = 0?
-1, 0, 4
Let l(y) be the second derivative of 1/12*y**4 + 1/30*y**6 + 0*y**3 - 1/10*y**5 - y + 0 + 0*y**2. Suppose l(f) = 0. What is f?
0, 1
Let i(f) be the first derivative of 0*f + 2/3*f**2 + 3 - 2/9*f**3. Find q such that i(q) = 0.
0, 2
Suppose 16/7*s + 0 - 12/7*s**3 + 0*s**2 - 4/7*s**4 = 0. What is s?
-2, 0, 1
Let f(a) be the third derivative of -a**8/6720 - a**7/840 + a**5/12 + a**2. Let z(w) be the third derivative of f(w). Factor z(p).
-3*p*(p + 2)
Let k(s) be the third derivative of s**10/15120 + s**9/7560 - s**8/1680 - s**4/6 - 2*s**2. Let y(b) be the second derivative of k(b). Factor y(n).
2*n**3*(n - 1)*(n + 2)
Factor -2*g**5 + 2*g**4 - 205*g**3 + 205*g**3.
-2*g**4*(g - 1)
Let z(j) = -j**2 + j. Let r(d) = 8*d**2 - 18*d + 10. Let c(h) = r(h) + 3*z(h). Factor c(v).
5*(v - 2)*(v - 1)
Let m(r) be the first derivative of 4*r**6/15 - 52*r**5/25 + 32*r**4/5 - 148*r**3/15 + 8*r**2 - 16*r/5 - 2. Solve m(g) = 0 for g.
1/2, 1, 2
Let o be 132/(-165) + 34/30. Suppose 1/3*i**3 + 0 + 0*i**4 + 0*i**2 - o*i**5 + 0*i = 0. What is i?
-1, 0, 1
Suppose -26*g = -18*g. Find b, given that -2/11*b**5 + 0 + g*b**3 + 0*b**2 + 0*b - 2/11*b**4 = 0.
-1, 0
Factor -1/3*k**5 + 2*k**3 - 7*k - 10/3*k**2 + k**4 - 3.
-(k - 3)**2*(k + 1)**3/3
Factor 4/3*i + 0 - 4/3*i**2.
-4*i*(i - 1)/3
Let a be (2/8)/((-2)/(-104)). Suppose 8*s = a*s - 10. What is g in 1/2*g**s + 2/3 - 4/3*g = 0?
2/3, 2
Let a(i) be the first derivative of i**6/12 - 2*i**5/5 + 3*i**4/8 + 2*i**3/3 - i**2 + 2. Factor a(n).
n*(n - 2)**2*(n - 1)*(n + 1)/2
Let b(d) be the first derivative of d**6/60 - d**5/30 + d**4/72 + 9*d + 1. Let s(j) be the first derivative of b(j). Determine n so that s(n) = 0.
0, 1/3, 1
Suppose u + f + 5 - 4 = 0, -5*f - 9 = 3*u. Let i(q) be the first derivative of 1/4*q - 1/16*q**4 - 1/12*q**3 - 3 + 1/8*q**u. Let i(d) = 0. What is d?
-1, 1
Suppose 5*d = -2*l + 10, -d + 0*l = -5*l - 29. Factor d*x + 3*x - 16 - 15*x**2 + 11*x**2 + 9*x.
-4*(x - 2)**2
Factor -2/7*b**3 - 2/7*b**2 + 8/7 + 8/7*b.
-2*(b - 2)*(b + 1)*(b + 2)/7
Find m, given that -2/9*m - 2/9 - 2/9*m**5 + 4/9*m**2 - 2/9*m**4 + 4/9*m**3 = 0.
-1, 1
Let j(x) be the second derivative of -x**4/108 + 5*x**3/27 - 25*x**2/18 - 8*x. Factor j(u).
-(u - 5)**2/9
Let u = -306209/2275 - 6/2275. Let c = 135 + u. Factor 0 - c*z**2 - 2/5*z.
-2*z*(z + 1)/5
Let k = 936 - 933. Factor 0 + 8*b**4 + b**2 + 7/2*b**5 + 11/2*b**k + 0*b.
b**2*(b + 1)**2*(7*b + 2)/2
Factor 4*i + i + 6*i - 5*i - 15*i**2.
-3*i*(5*i - 2)
Let x(q) be the third derivative of -q**5/210 + q**3/21 - q**2. Suppose x(i) = 0. What is i?
-1, 1
Solve -15*l + 22*l - 12*l - 7*l - 4*l**2 = 0.
-3, 0
Let x(u) = 6*u**3 + 18*u**2 - 24*u. Let n(v) = 3*v**3 + 9*v**2 - 12*v. Let o(d) = -5*n(d) + 3*x(d). Determine m, given that o(m) = 0.
-4, 0, 1
Let v(n) be the second derivative of -n**5/10 + n**4/6 - 7*n. Factor v(q).
-2*q**2*(q - 1)
Let s = -6 + 9. Suppose 0 = 2*t + 10, s*a - 6*t - 31 = -t. Factor -1/3*b**a - 1/3*b + 0.
-b*(b + 1)/3
Let p(k) = k + 1. Let r be p(-5). Let d(u) = -11*u**2 + 7*u + 13. Let c(o) = -5*o**2 + 3*o + 6. Let x(y) = r*d(y) + 9*c(y). Factor x(b).
-(b - 1)*(b + 2)
Let h = 55 + -1319/24. Let j(s) be the second derivative of -2*s - h*s**4 + 0*s**3 + 0 + 1/4*s**2. Find t, given that j(t) = 0.
-1, 1
Let b be (-10)/(-12)*(-8)/(-45 + 5). Let h(d) be the second derivative of -1/24*d**4 - 4*d + b*d**3 - 1/4*d**2 + 0. Factor h(j).
-(j - 1)**2/2
Let p(i) = i**2 + 6*i + 5. Let f be p(-6). Let h = f + -1. Determine o so that -1 + 3*o**3 + 3 - 5*o - 4*o**3 + h*o**2 = 0.
1, 2
Let c(n) be the first derivative of 4*n**5/85 - 3*n**4/34 + 14. Factor c(a).
2*a**3*(2*a - 3)/17
Let y(a) be the second derivative of -a**4/12 + a**3/2 + 9*a. Factor y(u).
-u*(u - 3)
Let v(g) be the second derivative of g**4/15 - 2*g**3/15 - 4*g. Find y such that v(y) = 0.
0, 1
Let c(w) be the first derivative of -2*w**5 + 25*w**4/4 - 5*w**3/3 - 5*w**2 - 1. Determine v, given that c(v) = 0.
-1/2, 0, 1, 2
Let y(i) = 36*i**3 - 36*i**2 + 6*i + 36. Let d(p) = -7*p**3 + 7*p**2 - p - 7. Let j(u) = -21*d(u) - 4*y(u). Determine r, given that j(r) = 0.
-1, 1
Let v(n) = -13*n**2 + 12*n - 7. Let b(r) = 7*r**2 - 6*r + 4. Let o = 11 + -7. Let z(y) = o*v(y) + 7*b(y). Factor z(k).
-3*k*(k - 2)
Let g be 74/18*(-4)/8. Let d = -14/9 - g. Find k such that 1/2*k**2 - d*k - 1 = 0.
-1, 2
Suppose -11 - 4 = -3*h. Let p(v) be the first derivative of 0*v**2 + 0*v**4 + 0*v - 1/12*v**3 - 3 + 1/20*v**h. Find l such that p(l) = 0.
-1, 0, 1
Let u(b) be the third derivative of b**6/300 + 2*b**5/75 + b**4/15 - 6*b**2. Determine k, given that u(k) = 0.
-2, 0
Let p(m) be the third derivative of 2*m**2 + 1/150*m**5 + 1/900*m**6 + 1/60*m**4 + 0 + 1/6*m**3 + 0*m. Let b(w) be the first derivative of p(w). Factor b(x).
2*(x + 1)**2/5
Let i be 5/(-20) + (1 - (-3)/(-6)). Factor -i*c + 0 - 1/4*c**2.
-c*(c + 1)/4
Let m(p) be the third derivative of -p**7/140 + p**6/32 - 3*p**5/80 - p**4/32 + p**3/8 + 39*p**2. Factor m(d).
-3*(d - 1)**3*(2*d + 1)/4
Let c be 2 + 0 + -3 + 3. Factor 7*o**c + 6*o - 2*o**2 - 3*o**3 - 2*o**2.
-3*o*(o - 2)*(o + 1)
Let h(k) be the second derivative of 1/18*k**4 + 0 - 2/9*k**3 + 1/3*k**2 + 4*k. Factor h(g).
2*(g - 1)**2/3
Let w(q) be the third derivative of q**8/1008 - q**6/120 + q**5/90 + 14*q**2. Let w(v) = 0. What is v?
-2, 0, 1
Let v(g) be the first derivative of -2*g**5/15 + g**4/6 + 2*g**3/9 - g**2/3 - 3. Suppose v(c) = 0. Calculate c.
-1, 0, 1
Let i(q) = 10*q**2 - 2*q + 6. Let l(w) = -3*w**2 + w - 2. Suppose 0*k = 5*k - 105. Let a(x) = k*l(x) + 6*i(x). Determine c, given that a(c) = 0.
1, 2
Let f(v) be the third derivative of -9*v**5/80 - 7*v**4/32 + v**3/4 - 3*v**2. Factor f(a).
-3*(a + 1)*(9*a - 2)/4
Suppose 9*a = -10*a + 95. Let m(r) be the second derivative of 0 + a*r + 0*r**4 + r**3 + 1/10*r**6 - 3/2*r**2 - 3/10*r**5. Solve m(l) = 0 for l.
-1, 1
Let k(x) be the first derivative of -3*x**5/10 + 3*x**4/4 + 3*x**3/2 - 3*x**2 - 6*x - 2. Solve k(y) = 0 for y.
-1, 2
Let b = 5/116 - -6/29. Let b - 1/4*z**3 + 1/4*z - 1/4*z**2 = 0. Calculate z.
-1, 1
Let i(a) be the second derivative of a**6/60 - a**4/4 + 2*a**3/3 + a**2/2 + 2*a. Let f(w) be the first derivative of i(w). Suppose f(m) = 0. Calculate m.
-2, 1
Let q be (-4)/((-48)/36*(-21)/(-2)). Let t be (1/(-1))/((-2)/4). What is u in -q*u**t - 2/7 - 4/7*u = 0?
-1
Find x such that 3/2*x**3 + 0 - 9/2*x**4 - 3*x + 3/2*x**5 + 9/2*x**2 = 0.
-1, 0, 1, 2
Solve 6/11*u - 6/11*u**2 + 2/11*u**3 - 2/11 = 0 for u.
1
Let 0 + 3/8*a**4 + 0*a - 3/4*a**2 - 3/8*a**3 = 0. Calculate a.
-1, 0, 2
Let y be (-6 - -4) + 4/(8/5). Find d, given that -1/2 - 1/2*d - y*d**4 + d**2 + d**3 - 1/2*d**5 = 0.
-1, 1
Let k(p) be the first derivative of -p**6/780 - p**5/195 - p**4/156 + 3*p**2/2 + 2. Let b(i) be the second derivative of k(i). Factor b(g).
-2*g*(g + 1)**2/13
Let s = 14 - 16. Let x = 0 - s. Factor 1/2*t**x - 3/2*t + 1.
(t - 2)*(t - 1)/2
Suppose 2*j = -3*p + 13, 4*j - 6 = p - 1. Let r be -2 - -2 - (0 + -5). Determine g, given that -2*g**p + 4*g**r + 2*g**4 - 2*g**5 - g**2 - g**2 = 0.
-1, 0, 1
Let s(a) = -2*a**2 - 26*a + 4. Let i(d) = -d**2 - d - 2. Let q(n) = 6*i(n) - s(n). Factor q(u).
-4*(u - 4)*(u - 1)
Let k(r) be the second derivative of -r**4/78 - 4*r**3/39 - 3*r**2/13 - 2*r. Factor k(o).
-2*(o + 1)*(o + 3)/13
Let t = -4/25 - -62/75. Factor 4/9*p + 2/9*p**3 + 0 + t*p**2.
2*p*(p + 1)*(p + 2)/9
Let t(k) be the third derivative of -k**7/840 + k**5/120 + k**3/6 + 3*k**2. Let b(c) be the first derivative of t(c). Factor b(j).
-j*(j - 1)*(j + 1)
Suppose 4 = 2*h - 0*h. Factor 26 + 48*j**h - 23 - 17*j - 7*j.
3*(4*j - 1)**2
Let g = -5 + 7. Suppose 37*d - 37*d - 3*d**g = 0. Calculate d.
0
Suppose -7*n - 10 = -2*n. Let f be 18/20 - (-1)/n. What is d in -12/5*d**3 + 16/5*d**4 + 0 - 6/5*d**5 + f*d + 0*d**2 = 0?
-1/3, 0, 1
Let 