/30 + 11*b**5/135 - 13*b**4/108 + b**3/9 + 23*b**2. Solve v(r) = 0.
1, 3
Let u(v) be the third derivative of v**8/840 - 2*v**7/525 + v**6/300 - 14*v**2. Let u(d) = 0. What is d?
0, 1
Let d(j) be the first derivative of 3*j**5/25 + 9*j**4/20 + j**3/5 - 9*j**2/10 - 6*j/5 + 53. Factor d(w).
3*(w - 1)*(w + 1)**2*(w + 2)/5
Let i(p) = p**3 - 4*p**2 + 2*p - 6. Let y be i(4). Suppose -2*a**2 - a - a**3 + 4*a**y + 2*a**3 - 2 = 0. Calculate a.
-2, -1, 1
Let c(l) be the third derivative of -l**6/180 - 2*l**5/135 + l**4/108 + 2*l**3/27 - 37*l**2. Let c(i) = 0. What is i?
-1, 2/3
Let q = -5 + 5. Suppose 3*r + 9 = -4*d - q*r, 15 = -2*d - 5*r. Factor 0*o + 1/4 + d*o**3 - 1/2*o**2 + 1/4*o**4.
(o - 1)**2*(o + 1)**2/4
Let d(w) = -344*w**3 + 316*w**2 + 64*w - 36. Let g(h) = 69*h**3 - 63*h**2 - 13*h + 7. Let s(b) = 3*d(b) + 16*g(b). Determine k so that s(k) = 0.
-1/3, 1/6, 1
Let g(p) = 4*p + 14. Let i be g(-3). Solve 1/2*s - 3/2*s**4 - 1 - 1/2*s**3 + 5/2*s**i = 0.
-1, 2/3, 1
Find o such that -20*o**2 + 0*o**2 + 7*o**4 + 13*o**4 - 5*o**5 + 20*o - 15*o**3 = 0.
-1, 0, 1, 2
Let y(o) be the second derivative of -5*o**4/12 + 7*o**3/6 - o**2 + 2*o. Let d(g) = -11*g**2 + 15*g - 4. Let t(x) = 6*d(x) - 13*y(x). Factor t(n).
-(n - 1)*(n + 2)
Let v(d) be the first derivative of d**7/630 - d**6/180 + d**5/180 - 5*d**2/2 + 1. Let f(x) be the second derivative of v(x). What is h in f(h) = 0?
0, 1
Let b(f) be the third derivative of f**5/150 + f**4/20 + 9*f**2. Factor b(y).
2*y*(y + 3)/5
Suppose 2*b - 7 = -1. Factor 1/4*s - 1/4*s**b + 0*s**2 + 0.
-s*(s - 1)*(s + 1)/4
Let o(n) be the third derivative of n**8/112 + n**7/7 + 5*n**6/8 + 25*n**2. Let o(l) = 0. Calculate l.
-5, 0
Factor p**2 - p**3 - 3*p**3 + p**2 + 2*p**3.
-2*p**2*(p - 1)
Let x = -10 + 12. Factor 3*t**2 + x*t + 6 + t + 0*t - 6*t**2.
-3*(t - 2)*(t + 1)
Let p(y) be the third derivative of y**8/280 + 4*y**7/525 - y**6/300 - y**5/75 + 6*y**2 - 6*y. Find w, given that p(w) = 0.
-1, 0, 2/3
Let b(d) be the first derivative of -d**3/12 + d**2/2 - d - 6. Factor b(f).
-(f - 2)**2/4
Determine p so that -89*p**3 - 8*p + 87*p**4 + 5*p**3 + 53*p**4 + 60*p**2 - 60*p**3 - 48*p**5 = 0.
0, 1/4, 2/3, 1
Let m(g) = -2*g**5 - 5*g**4 + 9*g**3 - 7*g**2 + 5*g + 3. Let n(q) = 3*q**5 + 10*q**4 - 18*q**3 + 14*q**2 - 9*q - 5. Let k(j) = -5*m(j) - 3*n(j). Factor k(z).
z*(z - 2)*(z - 1)**3
Let y(l) be the second derivative of l**4/27 - l**3/27 + 7*l. Factor y(a).
2*a*(2*a - 1)/9
Let i(x) = 11*x**2 + 9*x + 16. Let c(a) = -5*a**2 - 5*a - 8. Let y(r) = -7*c(r) - 3*i(r). Factor y(g).
2*(g + 2)**2
Let o(k) be the second derivative of -1/12*k**4 + 0*k**2 + 0 + 0*k**3 + 2*k - 1/20*k**5. Suppose o(t) = 0. Calculate t.
-1, 0
Let t(r) be the first derivative of r**3/12 - r**2/8 + 7. Factor t(x).
x*(x - 1)/4
Suppose 2*b + 3*n - 16 = 0, -4*b + 5*n - 1 - 11 = 0. Let m(h) be the first derivative of -3 - b*h**2 + 2*h + 2/3*h**3. Factor m(f).
2*(f - 1)**2
Let v(a) be the first derivative of -a**4/22 + 2*a**3/33 + 3. Factor v(f).
-2*f**2*(f - 1)/11
Let t(s) = -11*s**3 - 1 - s + s**2 + 26*s**3 - 16*s**3. Let v be t(-1). Factor -4/7 - 6/7*j - 2/7*j**v.
-2*(j + 1)*(j + 2)/7
Factor 0*w + 1/3*w**5 + 4/3*w**4 + 4/3*w**3 + 0 + 0*w**2.
w**3*(w + 2)**2/3
Let v(r) be the second derivative of -1/2*r**4 - 3/10*r**5 - 2*r - 1/3*r**3 + 0 + 0*r**2 - 1/15*r**6. Factor v(t).
-2*t*(t + 1)**3
Determine c, given that -4 + 4*c**2 - 6*c**2 - 4*c + 2 = 0.
-1
Factor 2*a**4 - 18*a**2 + 4*a**2 - 40*a - 12 - a**3 - 12 + 5*a**3.
2*(a - 3)*(a + 1)*(a + 2)**2
Let m = -14 - -18. Solve 14*f**3 - 52*f**2 + 58*f - 4*f**m - 16 + 10*f**3 + 0*f**3 - 10*f = 0.
1, 2
Let p = 6 + -1. What is a in 2*a**2 - 9*a**3 + p*a**3 - 4*a + 4*a + 2*a**4 = 0?
0, 1
Suppose -s = -4*s + 2*s. Let y(l) be the third derivative of -1/210*l**5 - 1/21*l**3 + 0 - 1/42*l**4 + 4*l**2 + s*l. Factor y(o).
-2*(o + 1)**2/7
Factor 20 - 5*b**2 + 21*b**2 + 10*b**2 + 4*b**2 - 5*b**3 - 45*b.
-5*(b - 4)*(b - 1)**2
Let r(a) be the second derivative of a**6/200 + 3*a**5/100 + a**4/20 - a**2/2 - 2*a. Let q(s) be the first derivative of r(s). What is d in q(d) = 0?
-2, -1, 0
Let c(i) be the third derivative of -i**5/300 + 5*i**2. Factor c(w).
-w**2/5
Let c be (-5)/((-2)/(-1 + 3)). Suppose d = c*d. Find t, given that 1/3*t**3 + 0*t + 0*t**2 + d = 0.
0
Let k = -8 + 12. Let j(u) be the third derivative of 0 + 1/30*u**5 + 0*u + 1/240*u**6 + 5/48*u**k - u**2 + 1/6*u**3. Let j(p) = 0. What is p?
-2, -1
Let k = -16 - -18. Factor 4*x**4 + k*x**5 + 2*x**3 - 35*x**2 + 35*x**2.
2*x**3*(x + 1)**2
Suppose -15 = -8*p + 3*p. Factor i + i**2 - p*i - 3*i**2.
-2*i*(i + 1)
Let m(y) be the third derivative of y**6/24 - y**5/12 - 5*y**4/4 + 55*y**2. Factor m(t).
5*t*(t - 3)*(t + 2)
Suppose -4*o - 4*t + 8 = 0, 6 = -o + 6*o + 3*t. Suppose o*x + 2/5*x**2 - 1/5 - 1/5*x**4 + 0*x**3 = 0. What is x?
-1, 1
Let c be (10/25)/((-1)/(-30)). Let b(i) = 3*i**4 + 3*i**3 - 12*i**2 + 12. Let l(m) = -m**2 + 1. Let p(k) = c*l(k) - b(k). Let p(s) = 0. What is s?
-1, 0
Find r, given that 64 - 16*r - 64 - 4*r**2 = 0.
-4, 0
Let f = 3 - 1. Let x = -2 + 4. Factor p**4 + 0*p**4 + 1 - 2*p**3 + f*p - x*p**4.
-(p - 1)*(p + 1)**3
Find q, given that -16/3*q**4 + 56/3*q**2 + 4/3*q**5 + 4/3*q**3 + 32/3 - 80/3*q = 0.
-2, 1, 2
Let h be (-1)/3 + 26/6. Let o be 0*((-1)/(-2) - 0). Factor 0*l**3 - 1/4*l**h + 0*l + o + 0*l**2.
-l**4/4
Let a be 3 + 0/(-1 - -3). Let u = 2 + 3. Factor -w**a - u*w**3 + 0*w**3 + 2*w**4 - 2*w + 6*w**2.
2*w*(w - 1)**3
Let i be (-1)/(-2) + (-249)/502. Let v = 999/1255 + i. Determine w so that 14/5*w**3 + 0 - 14/5*w**2 - v*w + 24/5*w**4 = 0.
-1, -1/4, 0, 2/3
Let y be (-4)/(56/2718) - -3. Let t = y + 192. Factor 2/7 + 6/7*h + 2/7*h**3 + t*h**2.
2*(h + 1)**3/7
Let u = -5360/9 - -596. Factor -2/9*k**4 - 2*k**2 + 14/9*k - u + 10/9*k**3.
-2*(k - 2)*(k - 1)**3/9
Let x(s) be the first derivative of -3 + 7*s**2 - 16/3*s**3 + 4/5*s**5 - 1/3*s**6 - 4*s + s**4. Factor x(g).
-2*(g - 1)**4*(g + 2)
Let r(k) be the third derivative of -1/135*k**5 - 1/180*k**6 + 1/108*k**4 + 0*k + 0*k**3 - 4*k**2 + 0. Factor r(x).
-2*x*(x + 1)*(3*x - 1)/9
Factor 33*w**3 - 2*w**2 - 32*w**3 + 6*w - 6*w.
w**2*(w - 2)
Determine v, given that 0 - 1/4*v**2 - 1/4*v**3 + 0*v = 0.
-1, 0
Find z, given that z**2 + 0*z - 2*z**3 + 0 - 1/4*z**5 + 5/4*z**4 = 0.
0, 1, 2
Factor -2/9*v**3 + 14/9*v**2 - 10/3*v + 2.
-2*(v - 3)**2*(v - 1)/9
Let u(z) be the third derivative of -z**7/1470 + z**6/840 + z**5/420 - z**4/168 - 4*z**2. Find x, given that u(x) = 0.
-1, 0, 1
Let x(z) = -2*z**2 + 6*z. Let n(g) = g**2 - 3*g. Suppose 5*t = -5, -2*t = 4*u + 4 + 6. Let f(v) = u*x(v) - 5*n(v). Solve f(r) = 0 for r.
0, 3
Let k(b) = 5*b - 2. Let u be k(-2). Let n be u/(-21)*7/5. Factor t + 2/5 + 1/5*t**3 + n*t**2.
(t + 1)**2*(t + 2)/5
Let y(t) be the third derivative of -t**9/272160 + t**7/22680 - t**5/20 - 2*t**2. Let i(z) be the third derivative of y(z). Determine p so that i(p) = 0.
-1, 0, 1
Solve -3*u**3 - 8*u**2 - 29*u**4 - 6*u**3 - 3*u**3 + 25*u**4 = 0 for u.
-2, -1, 0
Suppose 5*i - 2 = 23. Factor -11*l - 4*l**2 + i*l - 6*l.
-4*l*(l + 3)
Let y be (-24)/108 - (-34)/(-9). Let d be y - ((-170)/22 + 3). Factor 18/11*i**2 - 24/11*i + d.
2*(3*i - 2)**2/11
Let q(y) be the second derivative of -2*y**7/21 + 7*y**6/15 - 4*y**5/5 + y**4/3 + 2*y**3/3 - y**2 - 2*y. Factor q(p).
-2*(p - 1)**4*(2*p + 1)
Let d be (-21)/27 - 2/9. Let k be 4/d*(-1)/2. Suppose 0*m**3 + 0 + 2/5*m**4 + 2/5*m**5 + 0*m + 0*m**k = 0. What is m?
-1, 0
Let v be (-3)/(((-3)/9)/1). Let p(o) = -o**2 + 10*o - 6. Let g be p(v). Factor 2/7*j + 2/7*j**g + 0 - 4/7*j**2.
2*j*(j - 1)**2/7
Let j(f) be the second derivative of -1/12*f**4 - 1/3*f**3 + 0*f**2 - 2*f + 0. Solve j(x) = 0.
-2, 0
Let t(g) be the second derivative of g**7/147 - g**5/35 + g**3/21 - 10*g. Find q, given that t(q) = 0.
-1, 0, 1
Let u(v) be the second derivative of -5*v**7/63 - v**6/6 + 5*v**5/12 + 65*v**4/36 + 5*v**3/2 + 5*v**2/3 + 32*v. Find c such that u(c) = 0.
-1, -1/2, 2
Let r(q) be the second derivative of q**3/6 + 6*q**2 + 6*q. Let u be r(-9). Factor -2/3 - 2/3*x + 2/3*x**2 + 2/3*x**u.
2*(x - 1)*(x + 1)**2/3
Suppose 2/7 - 2/7*r**2 - 2/7*r + 2/7*r**3 = 0. What is r?
-1, 1
Let z(v) be the third derivative of 0*v**4 + 0 + 0*v - 1/180*v**5 + 1/18*v**3 - 3*v**2. Factor z(x).
-(x - 1)*(x + 1)/3
Factor 7 + 2 + 5*t**3 +