rivative of r(b). Find u, given that m(u) = 0.
-2/9, 0, 1
Let o(q) be the third derivative of q**6/600 + q**5/60 - 11*q**4/60 + 8*q**3/15 + 6*q**2 - q. Solve o(l) = 0 for l.
-8, 1, 2
Factor 0 + 0*q + 1/5*q**3 + 12/5*q**2.
q**2*(q + 12)/5
Factor 92*p - 103*p**2 - 82*p**2 + 189*p**2 - 200.
4*(p - 2)*(p + 25)
Factor 14*n**2 + 14*n**3 - 20*n + n**2 - 29*n**3 + 2*n + 12*n**3.
-3*n*(n - 3)*(n - 2)
Let u(r) be the first derivative of -r**4/16 + 5*r**3/4 + 2*r**2 - 101. Find j, given that u(j) = 0.
-1, 0, 16
Suppose 1/6*k**4 - 3/2 + 3*k - 1/3*k**3 - 4/3*k**2 = 0. Calculate k.
-3, 1, 3
Let q = -1500 + 6005/4. Let a(s) be the second derivative of -s**3 + 0*s**2 - 1/10*s**6 - q*s**4 + 0 - 3/5*s**5 + 2*s. Let a(j) = 0. What is j?
-2, -1, 0
Suppose -2 = -2*z + 6. Factor 5 + z*r**2 - 5 - 5*r**2 + 1.
-(r - 1)*(r + 1)
Let z(q) be the second derivative of 0 - 25/24*q**3 + 0*q**2 - 1/80*q**5 + 5/24*q**4 - 24*q. Suppose z(y) = 0. Calculate y.
0, 5
Let v(y) = y**3 + 10*y**2 - y - 10. Let o be v(-10). Let d be o/(4 + (-4)/4). Solve d*h + 1/3*h**3 + 0 + 0*h**2 = 0.
0
Let l(c) be the first derivative of 0*c - 3/2*c**5 - 9 + 33/4*c**4 - 4*c**3 + 0*c**2. Find z such that l(z) = 0.
0, 2/5, 4
Let l = -1808 + 1812. Let u(i) be the second derivative of 0 + 1/21*i**3 + 5*i + 1/70*i**5 + 0*i**2 - 1/21*i**l. Suppose u(n) = 0. Calculate n.
0, 1
Let d be 20/(-3) + (-16 + 21 - -4). Factor -3*q + 1/3*q**4 - d*q**3 + 5*q**2 + 0.
q*(q - 3)**2*(q - 1)/3
Let v(t) be the second derivative of t**6/225 - t**5/50 + 4*t**3/45 + 169*t. Factor v(u).
2*u*(u - 2)**2*(u + 1)/15
Let p(c) = 4*c**3 - 2*c + 3. Let v(a) = 7*a**3 + a**2 - 3*a + 5. Let o(g) = -5*p(g) + 3*v(g). Let l be o(-2). Factor -1 + 3*i - 60*i**l + 1 + 63*i**2.
3*i*(i + 1)
Let i(p) = p**3 - p**2 + p. Let g(o) = -o**4 + 8*o**3 - 9*o**2 + 6*o. Let t(j) = g(j) - 4*i(j). Factor t(d).
-d*(d - 2)*(d - 1)**2
Let u(t) be the third derivative of 9*t**2 - 1/18*t**4 - 11/360*t**6 + 0*t**3 - 1/252*t**7 + 0 + 0*t - 7/90*t**5. Determine y, given that u(y) = 0.
-2, -2/5, 0
Let i(g) be the third derivative of 0*g**3 - 1/1680*g**7 + 0 + 0*g - 24*g**2 + 0*g**4 + 1/240*g**5 + 1/960*g**6. Solve i(j) = 0 for j.
-1, 0, 2
Let z be (-42)/21 + 44/14. Suppose -4/7*w**2 + z*w + 0 = 0. Calculate w.
0, 2
Let y(t) be the third derivative of t**7/420 + 19*t**6/144 + 92*t**5/45 - 16*t**4/9 + t**2 + 2*t. Determine i, given that y(i) = 0.
-16, 0, 1/3
Let y be (-1917)/(-810) + 1 + (-35)/50. Suppose 0 - y*g**3 - 8/3*g**2 - 2/3*g**4 + 0*g = 0. What is g?
-2, 0
Factor -25/4*s**5 - 162*s - 859/4*s**3 - 1251/4*s**2 - 27 - 245/4*s**4.
-(s + 3)**3*(5*s + 2)**2/4
Let d be (-80)/(-60)*(-16)/(-64). Let 10/3*m + 3 + d*m**2 = 0. Calculate m.
-9, -1
Let p(i) = -i**3 - 2*i**2 - i - 1. Let s(b) = b**3 + 6*b**2 + 41*b - 57. Let n(x) = -6*p(x) - 2*s(x). Factor n(o).
4*(o - 3)*(o - 2)*(o + 5)
Let m(z) = 3*z**4 + 89*z**3 - 1699*z**2 + 9147*z - 15488. Let u(j) = -j**4 - 46*j**3 + 850*j**2 - 4574*j + 7744. Let i(y) = 2*m(y) + 5*u(y). Factor i(q).
(q - 22)**2*(q - 4)**2
Solve 2*l**2 - 2*l - 17*l - l - 70 + 16*l = 0.
-5, 7
Let 0 + 2/7*m**2 + 92/7*m = 0. What is m?
-46, 0
Suppose -4*n = 240 - 248. Let -1/2*h**4 + 2*h**5 + 0 + 1/2*h**2 + 0*h - n*h**3 = 0. What is h?
-1, 0, 1/4, 1
Let v = 605 - 600. Let u(t) be the second derivative of 0 - 1/14*t**4 + 3/70*t**v + 1/21*t**3 + 0*t**2 + 4*t - 1/105*t**6. Factor u(n).
-2*n*(n - 1)**3/7
Let j(c) = c**3 + 3*c**2 + 5*c + 9. Let p be j(-2). Solve -6/7 + 6/7*q**2 - 3/7*q + 3/7*q**p = 0 for q.
-2, -1, 1
Factor -44/3 + 26/3*x - 2/3*x**2.
-2*(x - 11)*(x - 2)/3
Let k(l) be the second derivative of 0*l**2 - 1/3*l**3 + 1/10*l**5 + 1/15*l**6 - 1/6*l**4 + 0 - 8*l. Factor k(j).
2*j*(j - 1)*(j + 1)**2
Let c(d) be the first derivative of 2*d**3/27 - 7*d**2/9 + 4*d/3 + 57. Factor c(u).
2*(u - 6)*(u - 1)/9
Let t be (-2)/18 + (-5)/(-207) + 112/1288. Let w = 2/7 - 3/35. Factor w*p**2 + 0*p - 1/5*p**5 - 1/5*p**4 + t + 1/5*p**3.
-p**2*(p - 1)*(p + 1)**2/5
Let g be -298*3/((-12)/(-4)). Let f = g - -1793/6. Factor f*b - 2/3*b**2 - 1/3 + 1/6*b**3.
(b - 2)*(b - 1)**2/6
Let x(p) = -4*p**2 - 20*p - 18. Let w(o) = -36*o**2 - 180*o - 160. Let c(f) = -3*w(f) + 28*x(f). Let c(s) = 0. What is s?
-3, -2
Suppose -4*m + 2*n = -0*m - 18, n = -2*m + 7. Solve 5*o**3 - 3*o**5 - 7*o**5 + o**3 - m*o**2 + 8*o**5 = 0.
-2, 0, 1
Let x(l) be the second derivative of -1/10*l**5 + 11*l + 0 + 0*l**6 + 0*l**3 + 0*l**2 + 1/21*l**7 + 0*l**4. Find f, given that x(f) = 0.
-1, 0, 1
Let l(t) = 2*t**2 - 7*t - 97. Let r be l(9). What is h in -4/5*h**2 - r*h - 6/5 = 0?
-3/2, -1
Let p be (-23)/(-7) + 22/(-77). Suppose 5*h + 64 = p*u, -2*h + 3 = -u + 2*u. Factor 22*g**4 - u*g**5 - 5*g**5 - 4*g**3 + 0*g**3.
-2*g**3*(g - 1)*(9*g - 2)
Let b(u) be the third derivative of -7*u**2 - 1/210*u**7 + 0 + 1/336*u**8 + 1/60*u**5 + 0*u**3 + 0*u**4 + 0*u - 1/120*u**6. Determine q so that b(q) = 0.
-1, 0, 1
Let o(h) be the third derivative of -h**7/10080 + h**6/2880 + h**5/240 + 2*h**4/3 - h**2. Let b(c) be the second derivative of o(c). Factor b(q).
-(q - 2)*(q + 1)/4
Let x(b) be the third derivative of b**7/350 + b**6/100 - 3*b**5/100 - 432*b**2. Determine p, given that x(p) = 0.
-3, 0, 1
Let p(z) be the second derivative of z**5/80 - z**4/32 - z**3/4 - 5*z**2 + 8*z. Let c(y) be the first derivative of p(y). Factor c(q).
3*(q - 2)*(q + 1)/4
Let l(j) be the second derivative of 1/6*j**6 + 1/4*j**5 + 0*j**3 + 16*j + 0 + 0*j**2 - 5/21*j**7 + 0*j**4. Find f, given that l(f) = 0.
-1/2, 0, 1
Let o(k) = 9*k + 56. Suppose 0*w + 25 = -4*x + w, -5*x - 31 = -w. Let r be o(x). Factor -2/11*v**r + 2/11*v**3 + 0*v + 0.
2*v**2*(v - 1)/11
Let o(p) be the second derivative of 13*p - 2/3*p**4 + 0*p**2 + 0*p**3 - 1/10*p**5 + 0. Factor o(w).
-2*w**2*(w + 4)
Factor -2/9*x**2 + 0 - 2/9*x + 2/9*x**3 + 2/9*x**4.
2*x*(x - 1)*(x + 1)**2/9
Suppose -2 = w + 1. Let f(v) = -v**3 + v**2 + 4*v**2 - 7*v**2 + 3. Let i(d) = -d**3 - 3*d**2 + 4. Let h(g) = w*i(g) + 4*f(g). Factor h(q).
-q**2*(q - 1)
Let r(z) be the first derivative of z**4/14 - 2*z**3/7 + 8*z/7 + 48. Find i, given that r(i) = 0.
-1, 2
Let o(c) be the third derivative of -c**7/42 + 7*c**6/8 - 49*c**5/4 + 1715*c**4/24 - 7*c**2 + 9*c. Solve o(u) = 0.
0, 7
Suppose -q - 48 = -4*q. Suppose 5*k = q + 4. Factor -1 - 1 + k - 14*z**2 + 11*z**3 + z**3.
2*(z - 1)*(2*z - 1)*(3*z + 1)
Factor -7/2*o**2 + 55 - 383/2*o.
-(o + 55)*(7*o - 2)/2
Let n be -1*2*(-13)/104. Let h(m) be the first derivative of -1/4*m**3 + n*m**2 + 1/16*m**4 + 4 + 0*m. Solve h(s) = 0.
0, 1, 2
Let g = -61 - -62. Let f = g + 1. Let 0*k - 1/8*k**f + 0 + 1/4*k**3 = 0. Calculate k.
0, 1/2
Suppose -2461 = -4*c - 5*m, 2*c + 3*m - 1203 = 6*m. Suppose -86*v**4 + 446*v - 268*v**3 - 4*v**5 - 432 + 34*v**4 - 684*v**2 - 701*v - c*v = 0. What is v?
-3, -2
Let y(n) be the first derivative of 2/45*n**3 + 0*n**2 + 7 - 2/15*n. What is u in y(u) = 0?
-1, 1
Let z(f) be the first derivative of 3 - 1/9*f**4 + 1/9*f**2 + 4/27*f**3 + 1/27*f**6 - 2/9*f - 2/45*f**5. Factor z(g).
2*(g - 1)**3*(g + 1)**2/9
Let t be 1*-1 - (-12)/((-12)/(-3)). Solve -4*z + t*z**3 + 3*z**3 - z**3 = 0.
-1, 0, 1
Factor -3*c**3 + 6/5*c**4 + 0 + 0*c + 1/5*c**5 + 8/5*c**2.
c**2*(c - 1)**2*(c + 8)/5
Suppose 4*a + 3*q - 6 = -2, 2*a + 4*q - 2 = 0. Let x(c) = 3*c**3 - 12*c**2 + 27*c - 15. Let l(h) = -h + 1. Let k(d) = a*x(d) + 15*l(d). Factor k(z).
3*z*(z - 2)**2
Let v(q) be the second derivative of q**4/3 - 532*q**3/3 + 35378*q**2 + 2*q - 205. Determine u so that v(u) = 0.
133
Let i(y) be the second derivative of -3*y**5/10 - 23*y**4/6 - 28*y**3/3 + 12*y**2 - 4*y + 2. Suppose i(c) = 0. What is c?
-6, -2, 1/3
Let b = 481/84 - 215/84. Factor -1 + b*z + 2/3*z**3 + 19/6*z**2.
(z + 2)*(z + 3)*(4*z - 1)/6
Let g(b) be the third derivative of 4/21*b**3 - 17/168*b**4 + 0*b + 0 - 1/840*b**6 + 1/42*b**5 - 34*b**2. Let g(z) = 0. Calculate z.
1, 8
Let m(d) be the first derivative of 2*d - 7/12*d**4 + 1/3*d**5 - 5/6*d**2 - 23/9*d**3 - 5. Factor m(j).
(j - 3)*(j + 1)**2*(5*j - 2)/3
Let d(n) be the first derivative of 3/2*n**4 + 2*n**3 - 3/5*n**5 - 3*n - 1/2*n**6 - 5 - 3/2*n**2. Factor d(f).
-3*(f - 1)**2*(f + 1)**3
What is h in 202/13*h**2 - 2/13*h**3 + 14406/13 - 5390/13*h = 0?
3, 49
Factor -24/5 + 2/5*g**2 + 8/5*g.
2*(g - 2)*(g + 6)/5
Let k(j) be the first derivative of 2*j**6/3 + 64*j**5/5 