 be the third derivative of 0 + 1/4*l**4 - 1/70*l**7 + 0*l + 0*l**5 - 1/20*l**6 + 15*l**2 + 1/2*l**3. Factor d(f).
-3*(f - 1)*(f + 1)**3
Suppose 3*d + 11 = -5*g - 0*g, -3*d - 3*g = 3. Let -d*r**3 + 8*r**2 + 140*r**4 - 5*r**2 - 3*r**3 - 137*r**4 = 0. Calculate r.
0, 1
Let t = 38221/70092 - -1/6372. Factor 6/11*s**3 + t - 6/11*s - 6/11*s**2.
6*(s - 1)**2*(s + 1)/11
Let p(z) be the third derivative of 0*z**4 - 1/60*z**6 + 11*z**2 + 0 + 0*z**3 + 1/30*z**5 + 0*z. Suppose p(q) = 0. What is q?
0, 1
Let k(o) be the third derivative of -o**8/420 + 2*o**7/175 - o**6/75 - 2*o**5/75 + o**4/10 - 2*o**3/15 - 114*o**2. Solve k(i) = 0 for i.
-1, 1
Let z(l) be the second derivative of -1/100*l**5 + 1/30*l**3 + 1/150*l**6 - 1/60*l**4 + 0*l**2 - l + 0. Factor z(o).
o*(o - 1)**2*(o + 1)/5
Let q(f) be the first derivative of -4*f**3/9 + 142*f**2/3 + 96*f - 404. Suppose q(k) = 0. What is k?
-1, 72
Suppose 5*a - 15 = -2*z + 3*z, -2*a + 2*z = 2. Let g be (2/4*-1)/((-10)/80). Factor -2*h**g + 0*h**a + h**4.
-h**4
Let a = 2605 + -2605. Factor -2/3*f**2 + a*f**3 + 0 + 1/3*f - 1/3*f**5 + 2/3*f**4.
-f*(f - 1)**3*(f + 1)/3
Let d(c) = -3*c + 16. Let a be d(4). Suppose -25*h**3 - 7*h**4 - 5*h**a + 14*h**3 - 4*h**2 - 21*h**3 + 16 + 32*h = 0. Calculate h.
-2, -1, -2/3, 1
Let l(t) be the second derivative of t**5/28 + t**4/7 + 3*t**3/14 + t**2/7 - 266*t. Factor l(c).
(c + 1)**2*(5*c + 2)/7
Suppose 16 = 4*u - 8. Let d be (35/210)/(0 + 2/u). Factor d*r**3 - r + 0 - 1/2*r**2.
r*(r - 2)*(r + 1)/2
Let t(w) be the second derivative of w**9/10080 - w**8/2240 - 25*w**4/6 + 37*w. Let n(y) be the third derivative of t(y). Factor n(b).
3*b**3*(b - 2)/2
Suppose 25*o - 39 = 86. Let g(n) be the first derivative of -1/2*n**2 + 1/6*n**3 - 2*n + 1/16*n**4 - o. Factor g(z).
(z - 2)*(z + 2)**2/4
Let f = 5/33 - -743/33. Let s = f - 91/6. Factor 3/2*d**5 - 15*d**2 - 3/2 + 15*d**3 + 15/2*d - s*d**4.
3*(d - 1)**5/2
Let j(s) = -s**3 - 2*s**2 + 9*s + 6. Let c be j(-4). Let 2*g**3 - 3 + 5 - 3209*g**2 - 2*g + 3207*g**c = 0. Calculate g.
-1, 1
Suppose -356*b = -355*b. Let n(l) be the second derivative of 1/21*l**4 + b*l**2 + 0 + 1/21*l**3 - 2*l + 1/70*l**5. Factor n(y).
2*y*(y + 1)**2/7
Factor 53/4*w - 3/2*w**3 + 7/4*w**4 + 1/4*w**5 - 17/2*w**2 - 21/4.
(w - 1)**3*(w + 3)*(w + 7)/4
Suppose 9*z = 17*z - 40. Let j(i) be the third derivative of -1/480*i**6 + 4*i**2 + 0*i**3 + 1/80*i**z + 0*i + 0 - 1/48*i**4. What is x in j(x) = 0?
0, 1, 2
Let s = 1370 - 6828/5. Factor 14/5*z**2 + 2 + 2/5*z**3 + s*z.
2*(z + 1)**2*(z + 5)/5
Let x(f) be the second derivative of -f**8/4200 - f**7/2100 + f**6/900 + f**5/300 - 5*f**3/6 - 7*f. Let c(i) be the second derivative of x(i). Factor c(g).
-2*g*(g - 1)*(g + 1)**2/5
Let m = -17 - -23. Factor -9*f**2 + 92*f + 0*f**2 - 50 + 63*f - m*f**2.
-5*(f - 10)*(3*f - 1)
Let g(z) be the first derivative of -4*z**3/3 + 30*z**2 + 64*z + 58. Determine p, given that g(p) = 0.
-1, 16
Solve 1/2*f**4 - 1/2*f**3 + 2*f + 12 - 5*f**2 = 0 for f.
-2, 2, 3
Let m(k) = 9*k**3 + 33*k**2 + 72*k + 15. Let f(t) = -t**3 - 4*t**2 - 9*t - 2. Suppose 3*h = -2*h + 20. Let z(l) = h*m(l) + 33*f(l). Solve z(j) = 0 for j.
-1, 2
Let p(y) = -y**4 + y**3 + y**2 - 7*y. Let u(c) = 4*c**4 - 4*c**3 - 3*c**2 + 29*c + 1. Let t = -10 + 8. Let a(r) = t*u(r) - 9*p(r). Determine v so that a(v) = 0.
-2, 1
Let x(p) be the second derivative of p**4/66 - 10*p**3/33 + 9*p**2/11 - 158*p. What is w in x(w) = 0?
1, 9
Let o(k) be the first derivative of 0*k - 3/28*k**4 + 0*k**2 - 3/7*k**3 + 36. Find q such that o(q) = 0.
-3, 0
Let w(t) = -t + 11. Let l(r) = -1. Let h(d) = 22*l(d) + 2*w(d). Let b be h(-1). Factor -3*c**3 + 0*c**3 + 1 + 0*c**3 - c**b + 4*c**3 - c.
(c - 1)**2*(c + 1)
Suppose -5*l = 25, 4*l + 0*l = -b - 18. Suppose -4*p + 2*p = -b. Factor 0 - 9*v - 3*v**2 - 3 - p - 2.
-3*(v + 1)*(v + 2)
Let s(q) = 46*q**2 + 0 - 57*q**2 + 7*q + 1 - 2. Let z(l) = 5*l**2 - 4*l + 1. Let m(h) = -2*s(h) - 5*z(h). Suppose m(u) = 0. Calculate u.
1
Find d, given that 10*d**2 + 750 + 150*d + 2/9*d**3 = 0.
-15
Let m(j) = -j**2 + j - 1. Let x(c) = -24*c + 27. Let w(p) = -3*m(p) - x(p). Factor w(u).
3*(u - 1)*(u + 8)
Let n(t) = -26*t**2 + 2*t + 7. Let z(h) = -15*h**2 + h + 4. Let q(p) = -4*n(p) + 7*z(p). Factor q(k).
-k*(k + 1)
Suppose 3*m - 13*m + 3*m = 0. Let v(w) be the second derivative of -3*w + 1/20*w**5 + 0*w**2 + 0*w**4 + 0*w**3 + 1/30*w**6 + m. Solve v(u) = 0.
-1, 0
Let c(m) be the second derivative of -m**4/12 + 25*m**3 - 5625*m**2/2 + 126*m. Find j such that c(j) = 0.
75
Let b(h) = 420*h**2 + 755*h + 34. Let q(t) = -2940*t**2 - 5286*t - 240. Let v(u) = 27*b(u) + 4*q(u). Factor v(k).
-3*(4*k + 7)*(35*k + 2)
Let g(c) be the third derivative of c**7/735 - 11*c**6/210 + 4*c**5/21 + 13*c**2 - 2*c. Factor g(k).
2*k**2*(k - 20)*(k - 2)/7
Let y(u) = 5*u - 7. Let d be y(7). Let v be 47*(-1)/(-77) - 12/d. Determine o so that 2/11*o**2 - 2/11 + 2/11*o**3 - v*o = 0.
-1, 1
Suppose 2*c + 11 - 15 = 0. Solve 4*g - 7*g**2 + 8*g**c - g**2 - 2*g**2 - 2 = 0 for g.
1
Let c(q) = 12*q**4 - 25*q**3 - 19*q**2 + 15*q + 22. Let x(k) = -7*k**4 + 13*k**3 + 9*k**2 - 7*k - 11. Let b(f) = -3*c(f) - 5*x(f). Let b(u) = 0. Calculate u.
-1, 1, 11
Let h(q) = q**2 - 4*q - 9. Let i be h(6). Suppose 0*m - 5 = -m, -i*m + 355 = 4*d. Determine g, given that -4*g**2 + 43*g - 11*g - d + 21 = 0.
4
Suppose 36 = 7*u - 174. Determine o so that 38*o**3 - 69*o**3 + o**5 + u*o**3 - o**2 + o**4 = 0.
-1, 0, 1
Let f(i) be the third derivative of -6*i**2 - 1/60*i**6 + 0*i - 1/3*i**3 + 1/30*i**5 + 1/12*i**4 + 0. Factor f(v).
-2*(v - 1)**2*(v + 1)
Factor -10*v**2 - 32*v + 158*v**3 - 147*v**4 + 165*v**4 + 118*v**2.
2*v*(v + 1)*(v + 8)*(9*v - 2)
Suppose -2 = -3*v + 34. Let l be 2/((30/545)/1). Solve -l*o**2 + v*o + 42*o**3 - 4/3 - 49/3*o**4 = 0 for o.
2/7, 1
Let c(p) be the second derivative of -39*p - 6*p**4 + 5*p**3 - 1/10*p**6 + 75/2*p**2 + 0 - 3/2*p**5. Let c(t) = 0. Calculate t.
-5, -1, 1
Factor -250/3*c - 2/3*c**3 + 40/3*c**2 + 500/3.
-2*(c - 10)*(c - 5)**2/3
Let p = -47887/5 - -9581. Determine k, given that p + 33/5*k + 18/5*k**2 + 3/5*k**3 = 0.
-3, -2, -1
Let v(c) be the first derivative of c**5 + 5*c**4/4 - 40*c**3/3 - 30*c**2 - 71. Determine j so that v(j) = 0.
-2, 0, 3
Let n = -26/5 + 6. Factor 0 - 4/5*s**2 + n*s**4 - 4/5*s**3 + 4/5*s**5 + 0*s.
4*s**2*(s - 1)*(s + 1)**2/5
Find g, given that -g**5 - g**5 + 36*g**4 - 89*g**3 + 84*g**2 - 2*g**5 - 7*g**3 - 20*g**2 = 0.
0, 1, 4
Suppose 46 = 5*u + 21. Factor -5*j - 4*j**5 - u*j + 24*j**4 - 6*j - 52*j**3 + 48*j**2.
-4*j*(j - 2)**2*(j - 1)**2
Let i(x) = 7*x + 49. Let z be i(-5). Let z*m**2 - 35*m**2 + 13*m**2 + 4*m + m**3 + 12*m**2 = 0. Calculate m.
-2, 0
Factor 10/7 + 2/7*h**2 - 12/7*h.
2*(h - 5)*(h - 1)/7
Factor -1/2*j**5 + 0 - 5/2*j**4 + 0*j - 2*j**2 - 4*j**3.
-j**2*(j + 1)*(j + 2)**2/2
Let 0 - 9/7*t + 57/7*t**3 - 12/7*t**5 - 3*t**2 - 15/7*t**4 = 0. Calculate t.
-3, -1/4, 0, 1
Let b(i) = -2*i + 18. Let l be b(9). Let o be -1*(l - 0) + (-40)/(-140). Factor -o*u**4 - 4/7 - 2*u - 10/7*u**3 - 18/7*u**2.
-2*(u + 1)**3*(u + 2)/7
Let w(z) be the third derivative of -z**5/360 + z**4/24 + 8*z**2 - 38. Factor w(u).
-u*(u - 6)/6
Let n(m) be the third derivative of -m**9/3024 + m**8/448 + m**7/126 - 19*m**4/24 - 32*m**2. Let p(s) be the second derivative of n(s). Factor p(g).
-5*g**2*(g - 4)*(g + 1)
Factor -1/4*i**3 + 5/4*i**2 + 2*i - 3.
-(i - 6)*(i - 1)*(i + 2)/4
Let s(r) be the second derivative of r**5/12 - 5*r**4/9 - 10*r**3/9 + 40*r**2/3 + 138*r. Factor s(b).
5*(b - 4)*(b - 2)*(b + 2)/3
Factor 8/7*r**3 - 2/7*r**4 + 12/7*r + 0 + 22/7*r**2.
-2*r*(r - 6)*(r + 1)**2/7
Factor -12/13*g - 10/13*g**2 + 0 + 2/13*g**3.
2*g*(g - 6)*(g + 1)/13
Let u(i) be the first derivative of -1/12*i**4 - 7 + 0*i**3 + 0*i + 1/6*i**2. Factor u(z).
-z*(z - 1)*(z + 1)/3
Factor 15*s**4 + 396*s**2 + 76*s**3 + 140*s + 184*s - 11*s**4.
4*s*(s + 1)*(s + 9)**2
Let g be 15/(-20)*(-24)/1. Let s be (-95)/(-30) - 3/g. Factor -4*m**3 - 24*m**4 + 3*m**s + 23*m**4 + m**5 + m**2.
m**2*(m - 1)**2*(m + 1)
Factor -23*t**2 + 23*t + 26*t**2 + 4*t - 30.
3*(t - 1)*(t + 10)
Solve 2205/2 + 5/2*d**2 + 105*d = 0 for d.
-21
Let t(z) be the first derivative of z**7/14 - 9*z**5/5 + 4*z**4 - 15*z + 42. Let f(a) be the first derivative of t(a). Factor f(h).
3*h**2*(h - 2)**2*(h + 4)
Let y(w) = -w**2 + 7*w