 b(d) be the third derivative of 2*d**y + 0*d**3 - 1/60*d**5 + 0*d**4 + 0*d + 0. Factor b(k).
-k**2
Let d(a) be the second derivative of a**5/240 + 3*a**2/2 + 4*a. Let m(v) be the first derivative of d(v). Factor m(r).
r**2/4
Let i = 12 - 3. Factor 2*m**4 - 3*m + m**2 + 2*m**2 - i*m**2 + 4*m**4 + 3*m**5.
3*m*(m - 1)*(m + 1)**3
Suppose 0 = 5*y - m - 40, 4*y - m = -3*m + 18. Let a(r) = r**2 - 8*r + 10. Let h be a(y). Find u such that -4*u**2 + 7/3*u**h + 2/3 + u = 0.
-2/7, 1
Let z(c) be the third derivative of -c**9/30240 - c**8/35280 + c**7/2520 + c**6/1260 - c**5/10 + c**2. Let k(w) be the third derivative of z(w). Factor k(s).
-2*(s - 1)*(s + 1)*(7*s + 2)/7
Let g(a) be the first derivative of -5*a**6/24 - a**5/2 + 5*a**3/6 + 5*a**2/8 - 48. Factor g(m).
-5*m*(m - 1)*(m + 1)**3/4
Let p(i) be the second derivative of i**8/336 + i**7/105 - i**6/120 - i**5/30 - i**2 + 3*i. Let r(u) be the first derivative of p(u). Factor r(j).
j**2*(j - 1)*(j + 1)*(j + 2)
Let g(r) be the second derivative of 2*r**6/15 + r**5/5 - r**4/3 - 2*r**3/3 + 4*r. What is p in g(p) = 0?
-1, 0, 1
Let t be (-102)/(-21) + (-5)/(-35). Let k(g) be the first derivative of -2/5*g**t - 1 + 0*g**2 + 1/4*g**4 + 1/6*g**6 + 0*g**3 + 0*g. Factor k(f).
f**3*(f - 1)**2
Let q = -1/59 - -64/295. Find a, given that -q*a**2 - 4/5*a - 4/5 = 0.
-2
Let -8*d**2 + d - 7*d - 12*d**5 - 13*d**2 + 21*d**4 + 11*d**3 + 7*d**3 = 0. Calculate d.
-1, -1/4, 0, 1, 2
Let d = -960/7 - -138. Factor 2/7*r**3 + d*r**2 + 2/7 + 6/7*r.
2*(r + 1)**3/7
What is y in -1/8 - 3/8*y - 3/8*y**2 - 1/8*y**3 = 0?
-1
Suppose -2/3 - 1/9*b + 2/3*b**2 + 1/9*b**3 = 0. Calculate b.
-6, -1, 1
Let v(k) be the third derivative of -1/21*k**3 + 1/210*k**5 + 0*k + 0*k**4 + 0 + 9*k**2. Factor v(q).
2*(q - 1)*(q + 1)/7
Let a(j) = -j + 1. Let p(t) = -4*t + 11. Let n(i) = -3*a(i) + p(i). Let g be n(8). What is z in g + 2/5*z**5 - 6/5*z**3 + 4/5*z + 2/5*z**4 - 2/5*z**2 = 0?
-2, -1, 0, 1
Let m(x) be the second derivative of -x**7/8820 - x**4/2 - 4*x. Let b(l) be the third derivative of m(l). Factor b(h).
-2*h**2/7
Let h(v) be the second derivative of 7*v**4/8 + 5*v**3/4 - 3*v**2/2 + 2*v. Solve h(q) = 0.
-1, 2/7
Let v(l) be the third derivative of l**8/28 - 2*l**7/105 - 11*l**6/30 - l**5/5 + 4*l**4/3 + 8*l**3/3 - 10*l**2. Determine g, given that v(g) = 0.
-1, -2/3, 1, 2
Let w be (-5)/(45/(-12)) - (-4 - -5). Factor -1/3*r**4 + 0 - w*r + 1/3*r**2 + 1/3*r**3.
-r*(r - 1)**2*(r + 1)/3
Let v(u) be the third derivative of -9*u**2 + 0 + 0*u + 1/20*u**5 - 1/3*u**3 + 1/24*u**4. Factor v(i).
(i + 1)*(3*i - 2)
Let t be (30/12 - 0) + -3 + 1. Factor 0 + t*y + 1/2*y**2.
y*(y + 1)/2
Suppose 3*n + 0*n - 36 = 0. Let v be ((-423)/(-30))/(n/10). Solve -v*h**2 + 12*h**4 - 1/4 - 3*h + 16*h**5 - 13*h**3 = 0.
-1, -1/4, 1
Let i(b) be the first derivative of 3*b**4/2 + 3*b**3 - 3*b**2 - 7. Find d, given that i(d) = 0.
-2, 0, 1/2
Let y(s) be the second derivative of s**6/75 - s**4/30 - 2*s. Determine i, given that y(i) = 0.
-1, 0, 1
Let m(w) be the second derivative of -w**8/840 - 2*w**7/525 - w**6/300 - w**2/2 + w. Let c(z) be the first derivative of m(z). Factor c(x).
-2*x**3*(x + 1)**2/5
Let d(z) be the third derivative of -z**7/525 - z**6/75 - z**5/30 - z**4/30 - 3*z**2. Factor d(n).
-2*n*(n + 1)**2*(n + 2)/5
Let l(k) be the second derivative of k**7/27 - 19*k**6/135 - 41*k**5/90 + 11*k**4/54 + 34*k**3/27 + 8*k**2/9 - 2*k + 3. Find t such that l(t) = 0.
-1, -2/7, 1, 4
Let g = 8/3 - 34/15. Let t be (-2 - -1) + 6/5. What is v in 0*v - 1/5*v**3 - t*v**5 + g*v**4 + 0*v**2 + 0 = 0?
0, 1
Let o be (-3)/(-45) + 0/1. Let z(f) be the second derivative of 0 + 3/10*f**5 + 0*f**2 - 1/2*f**4 - o*f**6 + 1/3*f**3 + 2*f. Factor z(y).
-2*y*(y - 1)**3
Factor -34*g + 0*g**4 - 2*g**4 + 42*g - 6*g**3.
-2*g*(g - 1)*(g + 2)**2
Let w be (-2)/(-10) - (-54)/30. Factor -6*p**2 - 3*p**3 + 14*p**2 - 9*p + p**w + 3.
-3*(p - 1)**3
Factor -2/15*o**3 + 2/15*o**2 + 0 + 2/15*o**5 + 0*o - 2/15*o**4.
2*o**2*(o - 1)**2*(o + 1)/15
Let g(w) = -w**2 + 7*w. Let h be g(5). Suppose 5*r = h + 5. Solve -2/3*j**2 + 2/3*j**4 + 0*j + 0 + 0*j**r = 0.
-1, 0, 1
Let w(y) = 9*y**2 + 14*y + 16. Let q(m) = -2*m**2 - 3*m - 3. Let j(x) = -11*q(x) - 2*w(x). Factor j(o).
(o + 1)*(4*o + 1)
Factor 0 - 2/3*n**3 + 0*n + 0*n**2 - 2/3*n**4.
-2*n**3*(n + 1)/3
Let n(x) be the first derivative of x**5/20 - x**3/2 - x**2/2 + 3. Let t(w) be the second derivative of n(w). Factor t(i).
3*(i - 1)*(i + 1)
Let s = -541/300 + 4/75. Let v = -5/4 - s. Factor -v*f**2 + 0 + 1/2*f.
-f*(f - 1)/2
Let p be ((-32)/120)/(4/(-10)). Solve 0 - p*k - 2/3*k**2 = 0 for k.
-1, 0
Let c = -3/74 + 83/222. Factor -c*p**4 + 0 + 1/3*p**5 - 1/3*p**3 + 0*p + 1/3*p**2.
p**2*(p - 1)**2*(p + 1)/3
Let u(y) be the third derivative of 0*y**4 + 2*y**2 + 0 + 0*y + 1/105*y**7 - 1/75*y**5 + 1/100*y**6 + 0*y**3. Factor u(p).
2*p**2*(p + 1)*(5*p - 2)/5
Let a(w) be the third derivative of w**5/270 + w**4/108 - 2*w**3/27 - 9*w**2. Determine u so that a(u) = 0.
-2, 1
Suppose 2*s + 2*u = 474, 0 = -3*s + 5*u - 346 + 1065. Let o be 278/s + 52/442. Solve -6/7*q**2 - 9/7*q**3 + o*q + 6/7 = 0 for q.
-1, -2/3, 1
Let x(l) be the second derivative of l**6/45 - l**5/10 + 6*l. Factor x(h).
2*h**3*(h - 3)/3
Let h(a) be the first derivative of -2*a**5/55 - 2*a**4/11 - 2*a**3/11 + 4*a**2/11 + 8*a/11 + 9. Determine m so that h(m) = 0.
-2, -1, 1
Let l(h) be the second derivative of 11*h**6/150 - h**5/5 + 7*h**4/60 + h**3/15 + 6*h - 4. Let l(c) = 0. What is c?
-2/11, 0, 1
Let x be ((-4)/2 - 1) + 10. Suppose 0 = -x*z + 3*z + 8. Factor 0 - 2/7*c**3 + 0*c**z + 2/7*c.
-2*c*(c - 1)*(c + 1)/7
Let z(f) be the second derivative of f**5/80 - 7*f**4/48 + 2*f**3/3 - 3*f**2/2 + 25*f. Factor z(p).
(p - 3)*(p - 2)**2/4
Let j be (20/25)/((-6)/(-15)). Let c(y) be the third derivative of 3*y**j + 0*y + 0 - 1/120*y**5 - 1/24*y**4 - 1/12*y**3. Factor c(v).
-(v + 1)**2/2
Let r(y) be the second derivative of -7*y - 1/15*y**6 - 1/20*y**5 - 1/42*y**7 + 0*y**4 + 0*y**3 + 0 + 0*y**2. Suppose r(s) = 0. Calculate s.
-1, 0
Let m(j) = -2*j**2 - 12*j + 2. Let x(n) = 2*n - 1 - 3*n**2 + 9*n + 4*n**2 + n**2. Let o(h) = -5*m(h) - 6*x(h). What is w in o(w) = 0?
-2, -1
Factor 0 + 0*d + 4/7*d**2 + 2/7*d**4 - 6/7*d**3.
2*d**2*(d - 2)*(d - 1)/7
Let s be (-6)/14*(4 - (-14)/(-3)). Factor 4/7*h - s*h**2 - 2/7.
-2*(h - 1)**2/7
Let b(z) be the first derivative of -z**6/150 + 7*z**5/100 - 3*z**4/10 + 2*z**3/3 - 4*z**2/5 - 3*z + 3. Let c(t) be the first derivative of b(t). Factor c(g).
-(g - 2)**3*(g - 1)/5
Let c(v) be the second derivative of -v**5/20 + 3*v**4/8 - v**3 + 3*v**2/2 - 9*v. Let j(s) be the first derivative of c(s). Suppose j(d) = 0. Calculate d.
1, 2
Let p(k) = 3*k**5 - 3*k**4 + 6*k**3 + 6*k**2 - 6*k - 6. Let v(w) = -3*w**5 + 2*w**4 - 5*w**3 - 5*w**2 + 5*w + 5. Let l(n) = 5*p(n) + 6*v(n). Solve l(g) = 0.
-1, 0
Let g = -4/43 + 146/645. Let n(k) be the first derivative of 2/3*k + 2/3*k**2 - 1/3*k**4 - g*k**5 + 0*k**3 + 2. Let n(u) = 0. What is u?
-1, 1
What is j in -2*j**3 - 3*j**3 + 2*j**3 + 3*j - 4*j**2 + 2*j**4 - 2*j**3 = 0?
-1, 0, 1/2, 3
Let c(b) be the first derivative of b**7/30 + 19*b**6/150 + 3*b**5/20 + b**4/60 - b**3/15 + 5*b + 6. Let n(j) be the first derivative of c(j). Factor n(r).
r*(r + 1)**3*(7*r - 2)/5
Factor -8/9*o - 16/9*o**2 + 0 - 10/9*o**3 - 2/9*o**4.
-2*o*(o + 1)*(o + 2)**2/9
Let r(t) = -t**3 - 10*t**2 + 11*t + 4. Let b be r(-11). Factor -b*a**3 - 14*a**5 + 0*a**4 + 6*a**4 + 0*a**3 + 12*a**4.
-2*a**3*(a - 1)*(7*a - 2)
Factor 6 + 252*g - 260*g + 2*g**2 + 2.
2*(g - 2)**2
Let g(o) be the third derivative of o**6/720 - o**5/240 + o**3/2 - 3*o**2. Let d(j) be the first derivative of g(j). Let d(i) = 0. Calculate i.
0, 1
Let c(s) = -s**2 - 6*s - 2. Let q be c(-5). Let b(v) be the first derivative of 25/2*v**4 + 1 + 8*v - 16*v**2 + 10/3*v**q. What is l in b(l) = 0?
-1, 2/5
Determine k, given that 0 + 0*k - 2/3*k**2 = 0.
0
Factor 2/3*g**3 + 2*g - 2*g**2 - 2/3.
2*(g - 1)**3/3
Suppose 35*o - 40*o = -35. Suppose -o*t = t - 32. Factor 0 - 2*g**3 - 2/9*g**5 - 14/9*g**2 - 10/9*g**t - 4/9*g.
-2*g*(g + 1)**3*(g + 2)/9
Let k(q) be the first derivative of -q**5/240 - q**4/32 - q**3/12 - 3*q**2/2 - 2. Let c(s) be the second derivative of k(s). Determine v, given that c(v) = 0.
-2, -1
Let v(i) be the first derivative of i**5/40