v = 0.
-1, 0, 1
Let j(k) = 3*k**4 + 3*k**3 - 19*k**2 - 8*k + 16. Let y(h) = -8*h**4 - 8*h**3 + 48*h**2 + 20*h - 40. Let u(l) = 12*j(l) + 5*y(l). Factor u(n).
-4*(n - 1)**2*(n + 1)*(n + 2)
Let g(k) be the third derivative of 1/3*k**3 + 0*k + 2*k**2 + 1/6*k**4 - 1/84*k**8 - 2/15*k**6 + 0 - 1/15*k**5 - 1/15*k**7. Factor g(s).
-2*(s + 1)**4*(2*s - 1)
Factor -63*r**4 - 49/2*r**5 - 18*r**2 - 109/2*r**3 + 0 - 2*r.
-r*(r + 1)**2*(7*r + 2)**2/2
Let w(b) be the second derivative of -b**9/5040 + b**8/1120 - b**7/840 + b**4/6 + 3*b. Let t(j) be the third derivative of w(j). Factor t(h).
-3*h**2*(h - 1)**2
Let s(a) be the first derivative of -a**6/20 - 3*a**5/40 + a**4/16 - 5*a**2/2 + 4. Let d(h) be the second derivative of s(h). Factor d(m).
-3*m*(m + 1)*(4*m - 1)/2
Factor 18/7*d**2 + 27/7*d + 3/7*d**3 + 0.
3*d*(d + 3)**2/7
Let k = -2 - -10. Let g be 2/k + 1/(-4). Factor g*d + 0 + 2/5*d**2 + 2/5*d**3.
2*d**2*(d + 1)/5
Let q = 251/3 - 83. Let t(a) = -a**3 + 8*a**2 + 9*a. Let f be t(9). Factor q*m**5 - 2/3*m**4 + f*m - 2/3*m**3 + 2/3*m**2 + 0.
2*m**2*(m - 1)**2*(m + 1)/3
Let q(o) = -o**3 - 2*o**2 + 3*o. Let x be q(-3). Suppose 4*p = -x + 8. Factor 0 + 3/4*h**p - 1/4*h.
h*(3*h - 1)/4
Suppose -2*s = -4*n + 16, 4*s - 2*s - 3*n = -11. Factor -9/5*g - 2/5 - 4/5*g**s.
-(g + 2)*(4*g + 1)/5
Let z = 176 + -7391/42. Let u(v) be the second derivative of -v + 0 + 2/21*v**3 - 1/35*v**5 + 0*v**2 + z*v**4 - 1/105*v**6. Factor u(q).
-2*q*(q - 1)*(q + 1)*(q + 2)/7
Let x(v) be the second derivative of v**6/360 + v**5/60 + v**3/6 - 2*v. Let o(p) be the second derivative of x(p). Factor o(g).
g*(g + 2)
Determine r so that -4/7 - 6/7*r - 2/7*r**2 = 0.
-2, -1
Let g be -3 + 85/(-50)*-2. Let 2/5*x**3 + 0 + g*x**2 + 0*x = 0. What is x?
-1, 0
Suppose 0 = -4*b + 3*w - 1, -2*b - 4*w + 1 = -15. Determine g so that -4/9*g**3 + 0 + 2/3*g**4 + 4/9*g - 2/3*g**b = 0.
-1, 0, 2/3, 1
Let x(p) be the first derivative of -p**9/1512 + p**8/420 - p**7/420 + p**3/3 + 3. Let b(h) be the third derivative of x(h). Let b(z) = 0. What is z?
0, 1
Let w(l) = l**4 + l**3 + 1. Let d(z) = 2*z**4 + z**3 + 2*z + 4. Let f(a) = d(a) - 3*w(a). What is g in f(g) = 0?
-1, 1
Suppose 5*i - 21 = 2*x, i + 0*i - 5*x = 18. Factor 6*y**3 + 12*y**4 + 27*y**4 + 63*y**5 + 0*y**i.
3*y**3*(3*y + 1)*(7*y + 2)
Determine q, given that 2*q + 0*q - 20*q**2 + 12 + 3*q - 10*q**3 + 5*q**5 - 2 + 10*q**4 = 0.
-2, -1, 1
Let r(f) be the third derivative of -f**8/840 + f**6/120 + f**5/60 + f**4/24 + 3*f**2. Let w(s) be the second derivative of r(s). Determine q so that w(q) = 0.
-1/2, 1
What is q in 1/7*q**5 - 2/7*q**2 + 2/7*q**4 + 0 - 1/7*q + 0*q**3 = 0?
-1, 0, 1
Let i(g) be the first derivative of -g**3/12 - 3*g**2/4 - 9*g/4 - 45. Determine x so that i(x) = 0.
-3
Let n = 0 - 4. Let c = n - -6. Determine v so that -1/2*v**c + 0 + 1/2*v = 0.
0, 1
Let m(l) be the first derivative of -l**6/180 - l**5/60 + l**4/6 - l**3/3 - 1. Let u(n) be the third derivative of m(n). Let u(z) = 0. Calculate z.
-2, 1
Find s such that -24 + 4*s + 0*s + 11*s**2 - 7*s**2 = 0.
-3, 2
Let w = 336/5 - 67. Factor -w*j + 0 + 1/5*j**2.
j*(j - 1)/5
Let y be ((-1)/(-24))/((-3)/(-6)). Let b(m) be the second derivative of 9/2*m**2 + 0 + m**3 + m + y*m**4. Factor b(l).
(l + 3)**2
Let c(x) = -4*x**2 + 24*x + 12. Let w(f) = f. Let o(q) = -c(q) + 16*w(q). Factor o(j).
4*(j - 3)*(j + 1)
Let q(p) = 2*p**2 - 4*p + 1. Let t(n) = 1. Let x(v) = v**2 - 7*v + 1. Let g be x(7). Let i(d) = g*q(d) - t(d). What is r in i(r) = 0?
0, 2
Let x(k) be the second derivative of -k**6/10 + 3*k**5/20 + k**4/2 + 56*k + 1. Factor x(f).
-3*f**2*(f - 2)*(f + 1)
Let i(f) = -8*f**3 - 20*f**2 - 12. Let o(r) = -3*r**3 - 8*r**2 - 5. Let u(t) = 5*i(t) - 12*o(t). Determine w so that u(w) = 0.
-1, 0
Suppose 4 + 0 = -x. Let c = x - -6. Factor c*d + 1 - 2*d - d**2.
-(d - 1)*(d + 1)
Let y = -73 + 37. Let h be (-2)/y - (-5)/30. Factor 4/9*m**3 + 0 + 0*m + 2/3*m**4 + h*m**5 + 0*m**2.
2*m**3*(m + 1)*(m + 2)/9
Let f be (-2)/4 + 1/2. Let a(w) be the first derivative of 1/2*w**4 + 2/5*w**5 + f*w**2 + 0*w - 2/3*w**3 + 2 - 1/3*w**6. Factor a(g).
-2*g**2*(g - 1)**2*(g + 1)
Let y(v) be the first derivative of 2*v**6/3 - 4*v**5/5 - 2*v**4 + 8*v**3/3 + 2*v**2 - 4*v + 6. Factor y(h).
4*(h - 1)**3*(h + 1)**2
Let r(n) be the first derivative of 3/2*n**2 + 1/3*n**3 + 2 + 2*n. Suppose r(p) = 0. Calculate p.
-2, -1
Let u = -3497/14 + 250. Let x(l) be the second derivative of 2/7*l**2 + 1/3*l**3 - u*l**4 + l + 0. Solve x(o) = 0.
-2/9, 1
Suppose 0*s - 3*s = -6. Find i, given that -i**2 + 3*i**2 - i - 3*i**s + 2 = 0.
-2, 1
Let m = -5 + 7. Let y(j) = j**3 + 4*j**2 + j - 6. Let f be y(-3). Factor f - 3/2*r**3 + 1/2*r + r**m.
-r*(r - 1)*(3*r + 1)/2
Let z(b) = -b**3 + 4*b**2 + 4. Let l be z(4). Let n be l/(-6) - (-70)/45. Let n + 2/9*g**2 - 8/9*g = 0. Calculate g.
2
Suppose -2*y = -2*l - 2, -2*y + 1 = -3*l - 2. Suppose -2*u = -y*u - 8. Factor i**2 - 4*i**2 + u*i**2.
i**2
Let l = 7 + -7. What is w in -2*w + 3*w**2 - w**2 + l*w**2 = 0?
0, 1
Let q(i) = i**2 - 7*i + 12. Let w be q(5). Suppose 5*s - w*s - 3 = 2*z, 2*s = z + 2. Solve z*h**2 + 10/3*h**4 + 2/3*h**3 + 0 + 0*h + 8/3*h**5 = 0.
-1, -1/4, 0
Let n(z) be the second derivative of 9*z**8/2240 - 3*z**7/560 + z**6/480 + z**3/6 - 4*z. Let u(g) be the second derivative of n(g). Let u(l) = 0. What is l?
0, 1/3
Let h be (-7)/(-9) - (-10)/45. Let x(z) = -z**2 + 2*z - 1. Let a(q) = q - 1. Let k(f) = h*x(f) - 3*a(f). Factor k(w).
-(w - 1)*(w + 2)
Suppose 1/9*r**2 + 1/9*r + 0 = 0. Calculate r.
-1, 0
Factor -5*r**3 - r**2 - 2*r**4 - 4*r**2 + 0*r**5 + 7*r**4 + 5*r**5.
5*r**2*(r - 1)*(r + 1)**2
Factor -1/5*y**5 + 1/5*y + 2/5*y**4 + 0*y**3 + 0 - 2/5*y**2.
-y*(y - 1)**3*(y + 1)/5
Suppose -2/9*n**4 - 4/9*n + 0*n**2 + 4/9*n**3 + 2/9 = 0. Calculate n.
-1, 1
Let l = 4 - 1. Suppose l*d = -p + 17, 0 = -5*d - p + 6*p - 5. Let 18*c**2 + 33*c**4 - 6*c**d - 9*c**5 - 3 - 42*c**3 + 6*c**4 + 3*c = 0. What is c?
-1/3, 1
Let l(k) = -5*k**4 + 4*k**3 - 4*k**2. Let v be ((-1)/(-3))/(1/9). Let x(b) = 7*b**2 - 8*b**v + 0*b**2 + 9*b**4 + b**3. Let g(u) = 7*l(u) + 4*x(u). Factor g(j).
j**4
Let y(r) be the third derivative of -r**6/120 + r**5/30 - 6*r**2. Solve y(m) = 0 for m.
0, 2
Let n(r) be the first derivative of -r**8/840 + r**6/180 + r**3 - 2. Let d(g) be the third derivative of n(g). Factor d(f).
-2*f**2*(f - 1)*(f + 1)
Let x(r) be the first derivative of r**4/2 - 4*r**3/3 - r**2 + 4*r - 41. Factor x(g).
2*(g - 2)*(g - 1)*(g + 1)
Let o(v) be the third derivative of v**6/900 + v**5/450 - v**4/90 - 2*v**2. Factor o(w).
2*w*(w - 1)*(w + 2)/15
Let s(y) be the second derivative of -y**4/4 - y**3/2 - y**2 - 2*y. Let z(c) = c**2 + c + 1. Let l(o) = -2*s(o) - 4*z(o). Factor l(m).
2*m*(m + 1)
Let n = 21 - 35. Let s(j) = 6*j**3 - 7*j**2 + 8*j + 7. Let f(b) = b**3 - b**2 + b + 1. Let a(h) = n*f(h) + 2*s(h). Factor a(r).
-2*r*(r - 1)*(r + 1)
Let d(u) be the first derivative of -2 - 2/33*u**3 + 3/11*u**2 - 4/11*u. Factor d(k).
-2*(k - 2)*(k - 1)/11
Let y(m) = 15*m**3 + 160*m**2 + 120*m + 25. Let q(p) = 2*p**3 + 20*p**2 + 15*p + 3. Let v(w) = 25*q(w) - 3*y(w). Factor v(b).
5*b*(b + 1)*(b + 3)
Let m(t) be the third derivative of -7/24*t**8 + 5*t**4 + 0 + 0*t + 2*t**2 - 59/15*t**5 + 6/5*t**7 - 11/60*t**6 - 8/3*t**3. Determine n so that m(n) = 0.
-1, 2/7, 1, 2
Determine a so that -3/7*a**3 - 24/7*a - 15/7*a**2 - 12/7 = 0.
-2, -1
Let -f**4 + 4*f**2 + f**3 + 7/2*f - 1/2*f**5 + 1 = 0. Calculate f.
-1, 2
Factor 3/2*i**4 - 9/2*i**3 - 9 - 51/2*i - 45/2*i**2.
3*(i - 6)*(i + 1)**3/2
Let b(o) = -o**2 - 2*o + 1. Let i be b(-3). Let t be 1/(14/6 + i). Factor -3*l**3 + 0*l + t*l**2 - l - l**4 + 2*l**4.
l*(l - 1)**3
Let s(f) be the third derivative of -5*f**8/1848 - 2*f**7/1155 + f**6/132 + f**5/165 - 8*f**2. Find h, given that s(h) = 0.
-1, -2/5, 0, 1
Let b(i) be the second derivative of -9*i**5/40 + 11*i**4/8 - 3*i**3 + 3*i**2 - 34*i. Determine s, given that b(s) = 0.
2/3, 1, 2
Find t, given that -100/7*t**3 - 180/7*t**2 - 16/7 - 96/7*t = 0.
-1, -2/5
Let c(u) be the first derivative of 2*u**3/21 - 4*u**2/7 + 6*u/7 + 1. Suppose c(v) = 0. What is v?
1, 3
Let d = 8/19 + -34/171. Solve 8/9*i - d*i**2 - 8/9 = 0 for i.
2
Determine b, given that -16*b + 0*b**5 - 4*b**5 - 60*b**3 - 28*b**4 - 52*b**2 + 0*b**5 = 0.
-4, -1, 0
Let c(f) = 6*f**2 + 2*f +