f be y(-9). Determine k, given that -1/5*k**4 + 1/5*k**f + 1/5*k**2 - 1/5*k + 0 = 0.
-1, 0, 1
Suppose -229*u**3 - 50*u**2 - 20*u**4 + 234*u**3 - 210*u**3 = 0. Calculate u.
-10, -1/4, 0
Let o(u) be the third derivative of u**5/80 + 5*u**4/16 + 2*u**3 - 107*u**2. Factor o(w).
3*(w + 2)*(w + 8)/4
Suppose -3*o - o - 76 = 0. Let p = -14 - o. Factor -3*j**3 + p*j**5 - 3*j**5 + 3*j - 3*j**3 + j**5.
3*j*(j - 1)**2*(j + 1)**2
Let d = -864 - -866. Let o(m) be the second derivative of 0 + 1/60*m**6 - 1/336*m**7 + 0*m**d + 1/48*m**4 + 0*m**3 - 10*m - 1/32*m**5. Factor o(g).
-g**2*(g - 2)*(g - 1)**2/8
Let n(w) be the third derivative of w**5/240 - w**4/12 + 7*w**3/24 - 30*w**2. Factor n(j).
(j - 7)*(j - 1)/4
Let f(i) be the first derivative of i**7/70 + i**6/25 + 3*i**5/100 + i - 12. Let y(x) be the first derivative of f(x). Suppose y(r) = 0. What is r?
-1, 0
Let v(p) be the third derivative of p**8/5040 - p**7/420 - p**6/45 + p**5/5 - p**2. Let a(n) be the third derivative of v(n). Let a(r) = 0. What is r?
-1, 4
Determine l so that 3*l - 51 - 31*l - 20*l - 4*l**2 - 112 + 35 = 0.
-8, -4
Suppose -3*a + 14 = -4. Let -24*f - a + f**2 - 4*f**2 + 10*f**3 - 6 + 3*f**5 + 11*f**3 + 15*f**4 = 0. Calculate f.
-2, -1, 1
Let l(c) = -c**3 - 2*c**2 - 7. Let w be l(-3). Find k such that -1 + 18*k**4 + k**w - 3*k**3 - 1 + 3*k + 21*k**4 - 38*k**4 = 0.
-1, 1, 2
Let w(g) be the third derivative of g**5/420 + 11*g**4/168 + 2*g**3/3 - 43*g**2 + 1. Factor w(d).
(d + 4)*(d + 7)/7
Find y, given that -2/7*y**2 + 24 - 16/7*y = 0.
-14, 6
Let n be (-1)/54*-4341 + 1/2. Let j = -80 + n. Determine g so that -2/3 + j*g + 14/9*g**2 = 0.
-1, 3/7
Let d = 18 + -14. Suppose -3*u + 4*l - d = 8*l, 3*l = 3*u - 24. Suppose 12 - 21*r**3 + 52*r - 4*r - 15*r**u - 102*r**3 + 75*r**5 + 3*r**2 = 0. Calculate r.
-1, -2/5, 1
Suppose 14875*n - 14902*n = 0. Suppose 0 = -f + 1 + 1. What is h in -4/5*h**5 + 0 + n*h**f + 4/5*h**4 + 0*h + 8/5*h**3 = 0?
-1, 0, 2
Let w(p) = -5*p**2 - 1. Let s be w(1). Let n = s - -8. Factor f**3 + 3 - 4 - f + 3*f**2 + n + 4*f.
(f + 1)**3
Determine k, given that 40*k - 5*k**5 + 65*k**3 - 60*k**2 + 15*k**4 - 19*k**3 - 36*k**3 = 0.
-2, 0, 1, 2
Let f(z) be the second derivative of z**8/6720 + z**7/1260 + z**6/720 + 7*z**4/12 + 36*z. Let s(r) be the third derivative of f(r). Suppose s(d) = 0. What is d?
-1, 0
Let r(n) = -51*n**2 - 60*n + 11. Let q(m) = -25*m**2 - 29*m + 4. Let g(z) = -5*q(z) + 2*r(z). Factor g(i).
(i + 1)*(23*i + 2)
Let u = 55 - 51. Suppose z - 7 = -u. Find a, given that 0 + 10/3*a**4 + 8*a**z + 6*a**2 + 4/3*a = 0.
-1, -2/5, 0
Factor 2/11*t**3 - 44 - 48/11*t**2 + 30*t.
2*(t - 11)**2*(t - 2)/11
Factor 30 - 21/2*q**3 + 9/2*q**2 + 93/2*q + 3/2*q**4.
3*(q - 5)*(q - 4)*(q + 1)**2/2
Suppose -z = -5*a + 3*z + 27, -2*a + z + 9 = 0. Suppose 13 = 5*w + a. Factor 3/2*d - 3 + 3/2*d**w.
3*(d - 1)*(d + 2)/2
Factor -70*r**3 + 0 - 1/2*r**5 + 100*r**2 + 0*r + 11*r**4.
-r**2*(r - 10)**2*(r - 2)/2
Suppose -2*a = 4*h + 64, -3*a - 2*h = -5*a - 94. Let w be -2*1/(-21)*(45 + a). Factor 0*r + w*r**5 + 10/7*r**4 + 16/7*r**3 + 8/7*r**2 + 0.
2*r**2*(r + 1)*(r + 2)**2/7
Let g(u) be the second derivative of -u**8/7560 - u**7/1890 + u**6/1620 + u**5/270 - 5*u**3/6 - 23*u. Let l(c) be the second derivative of g(c). Factor l(m).
-2*m*(m - 1)*(m + 1)*(m + 2)/9
Suppose 12/5*w + 39/5*w**3 + 3/5*w**5 + 36/5*w**2 + 18/5*w**4 + 0 = 0. Calculate w.
-2, -1, 0
Let m(p) be the first derivative of -2*p**6/3 + 3*p**4 + 8*p**3/3 + 56. Let m(i) = 0. What is i?
-1, 0, 2
Let m(x) = x**3 + 6*x**2 - 6*x - 1. Let j be m(3). Factor -53*g - 1 + j*g + 1 + 3*g**2.
3*g*(g + 3)
Let j(y) = -2*y**2 - 2*y + 13. Let h(v) = -v**2 - v + 6. Let k be 78/3*4/8. Let t(d) = k*h(d) - 6*j(d). Factor t(z).
-z*(z + 1)
Suppose -89 = 4*t + 103. Let r be 1/2 + (-232)/t. Factor -8/3*n**2 + 0 + 10/3*n**4 + r*n**3 + 0*n.
2*n**2*(n + 2)*(5*n - 2)/3
Let h(k) be the third derivative of -k**8/12 - 6*k**7/35 + k**6/6 + 3*k**5/5 + k**4/3 + 49*k**2. Let h(i) = 0. Calculate i.
-1, -2/7, 0, 1
Let d(z) be the third derivative of -z**7/3780 - z**6/1080 + z**5/90 - 3*z**4/8 + 5*z**2. Let a(p) be the second derivative of d(p). Let a(o) = 0. Calculate o.
-2, 1
Let l(r) be the third derivative of r**8/168 + 11*r**7/315 + r**6/15 + 2*r**5/45 - 3*r**2 - 43. Solve l(b) = 0.
-2, -1, -2/3, 0
Let y(n) be the first derivative of n**6/900 - n**5/300 - n**4/30 + 5*n**3/3 + 10. Let i(k) be the third derivative of y(k). Suppose i(x) = 0. Calculate x.
-1, 2
Let q be ((-3)/(-4) - (-44)/16) + -2. Let d(i) be the first derivative of 1 - 3/4*i**4 + 0*i + q*i**2 + 3/5*i**5 - i**3. Factor d(o).
3*o*(o - 1)**2*(o + 1)
Suppose 5*h + 4*i + 2 - 4 = 0, 4*i + 18 = 5*h. Let r(z) be the first derivative of -4 + 3/2*z**2 + 1/3*z**3 + h*z. Factor r(f).
(f + 1)*(f + 2)
Let w(y) be the second derivative of -y**5/80 + y**4/96 + y**3/12 - y**2 - 22*y. Let q(v) be the first derivative of w(v). Factor q(b).
-(b - 1)*(3*b + 2)/4
Factor 6 - 18*q**2 - 304*q + 34 + 11 + 271*q + 0.
-3*(q - 1)*(6*q + 17)
Let j(n) be the first derivative of -n**5/12 - 5*n**4/12 - 5*n**3/6 - 8*n**2 + 21. Let u(w) be the second derivative of j(w). Let u(v) = 0. Calculate v.
-1
Let y(t) be the second derivative of -t**4/60 - 3*t**3/10 + 4*t + 3. Factor y(r).
-r*(r + 9)/5
Let d be (-3381)/168 + 20 - (-2)/16. Factor d*k**2 - 6/7*k + 2/7*k**3 + 4/7.
2*(k - 1)**2*(k + 2)/7
Let d(w) = -w**3 + 4*w**2 + 18*w - 2. Let i be d(6). Factor 3*y - i*y**2 + 2 + y**4 + 33*y**2 - 3*y**3 - 2*y**4.
-(y - 1)*(y + 1)**2*(y + 2)
Suppose w + 18 = -0*w. Let h = -18 - w. Determine p, given that 5/4*p**3 + 1/4*p**4 + 2*p**2 + p + h = 0.
-2, -1, 0
Let p(h) be the third derivative of h**7/105 - 16*h**6/15 + 181*h**5/5 - 496*h**4/3 + 961*h**3/3 - 6*h**2. Find w such that p(w) = 0.
1, 31
Let j(b) = -5*b**2 + 11*b + 2. Let i = -1 - 5. Let c(y) = -2*y - 7. Let h be c(i). Let u(t) = 3*t**2 - 7*t - 1. Let v(z) = h*j(z) + 8*u(z). Factor v(w).
-(w - 1)*(w + 2)
Let a(w) be the second derivative of w**6/255 - w**5/85 + 2*w**3/51 - w**2/17 - 31*w + 7. Factor a(x).
2*(x - 1)**3*(x + 1)/17
Let o = 103/665 - -6/133. Let f(p) be the second derivative of -7/30*p**3 + 5*p + 1/150*p**6 - 1/20*p**5 + o*p**2 + 0 + 3/20*p**4. Find w such that f(w) = 0.
1, 2
Let v(a) be the third derivative of 0*a - 1/16*a**5 + 0 + 0*a**4 + 3*a**2 - 1/160*a**6 + 0*a**3. Solve v(t) = 0.
-5, 0
Let -1/5*f**4 + 10 + 3/5*f**2 + 5*f**3 - 77/5*f = 0. What is f?
-2, 1, 25
Factor -3*q**5 - 1050*q**3 + 5729 + 3666*q**2 - 240*q**3 + 11661*q + 862 + 111*q**4.
-3*(q - 13)**3*(q + 1)**2
Let -1620 + 868*d**2 + 495*d**3 - 672*d**5 - 198*d**2 + 677*d**5 + 365*d**2 + 85*d**4 = 0. Calculate d.
-6, -3, 1
Let q(d) = -2*d**3 + 4*d**2 + 2*d - 8. Let z(n) be the first derivative of 2*n**4 - 5*n**3 - 4*n**2 + 33*n + 46. Let f(v) = -9*q(v) - 2*z(v). Factor f(j).
2*(j - 3)*(j - 1)*(j + 1)
Let m(g) be the first derivative of -g**6/1020 - 2*g**5/255 - 5*g**4/204 - 2*g**3/51 + 29*g**2/2 + 3. Let d(p) be the second derivative of m(p). Factor d(u).
-2*(u + 1)**2*(u + 2)/17
Factor 0*a**2 + 0*a + 0 + 1/5*a**4 + 29/5*a**3.
a**3*(a + 29)/5
Let d be (51/(-15) - -4)/(1/5). Factor -58*g**3 + 3*g**2 + d*g + 27*g**3 + 28*g**3 - 3.
-3*(g - 1)**2*(g + 1)
Let t(z) = -2*z**2 + 5*z + 3. Let y(p) = p**2 - 13*p - 5. Let j(g) = -g**2 + 7*g + 3. Let a(f) = -5*j(f) - 2*y(f). Let v(l) = -3*a(l) - 5*t(l). Factor v(q).
q*(q + 2)
Let i(v) = -2*v**3 - 18*v**2 - 48*v - 14. Suppose 12 = -4*n + 4. Let f(c) be the first derivative of -c - 25. Let t(b) = n*i(b) - 36*f(b). Solve t(x) = 0.
-4, -1
Let u(v) be the third derivative of 1/8*v**5 - 1/12*v**6 + 0 + 1/84*v**7 + 4*v**2 + 5/12*v**4 - 5/3*v**3 + 0*v. Factor u(b).
5*(b - 2)**2*(b - 1)*(b + 1)/2
Let r(l) be the third derivative of -l**8/1848 + 8*l**7/385 + 13*l**6/330 - 4*l**5/55 - 25*l**4/132 - 189*l**2. Find s, given that r(s) = 0.
-1, 0, 1, 25
Let v(x) be the second derivative of 0*x**4 - 11*x - 1/5*x**5 + 8/9*x**3 + 0*x**2 + 2/45*x**6 + 0. Factor v(k).
4*k*(k - 2)**2*(k + 1)/3
Suppose -2*l - 43 = -15. Let r(y) = -y**3 - 14*y**2 + y + 20. Let u be r(l). Find o such that o**2 + o**3 + 5*o**4 - o**3 - u*o**4 = 0.
-1, 0, 1
Let x(o) be the third derivative of -3*o**2 + 0*o**5 - 5/48*o**8 + 0 + 0*o + 0*o**3 - 5/42*o**7 + 0*o**4 + 1/12*o**6. Factor x(l).
-5*l**3*(l + 1)*(7*l - 2)
Let p(u) 