8*x**4/3 - 512*x**3/3 - 183*x**2/2 + 110*x. Let u(t) be the first derivative of f(t). Factor u(o).
-(o + 32)**2
Let f(w) be the third derivative of -w**5/90 + w**4/18 + 16*w**3/3 - 1047*w**2. Factor f(c).
-2*(c - 8)*(c + 6)/3
Let r(o) = -o**2 - 988*o - 28738. Let i be r(-30). Factor 0*w + 18/5*w**3 - 3*w**4 + 0 - 3/5*w**i.
-3*w**2*(w - 1)*(5*w - 1)/5
Let t(y) be the first derivative of -y**6/14 - 39*y**5/5 + 845. Suppose t(d) = 0. Calculate d.
-91, 0
Let y(u) be the third derivative of -u**6/96 + u**5/80 - 73*u**3/6 - 89*u**2. Let a(d) be the first derivative of y(d). Factor a(l).
-3*l*(5*l - 2)/4
Factor 53*t - 6*t - 49*t + 4*t**3 - t**2 + 2*t**3 - 5*t**3.
t*(t - 2)*(t + 1)
Let p(l) be the first derivative of 10/3*l**3 - 5*l**4 - 5/2*l**2 - 5*l - 8 + 5/6*l**6 - l**5. Let k(f) = -f**3 - f. Let i(g) = -10*k(g) + p(g). Factor i(r).
5*(r - 1)**3*(r + 1)**2
Let m = 45 - 43. Solve -16*u - 14 - 764*u**2 + 760*u**m + 2 = 0 for u.
-3, -1
Let x(f) be the second derivative of -f**4/12 + f**3/3 + 5*f**2 + 18*f. Let j be x(-2). Determine m so that -8*m**2 + 19*m**2 + j*m**3 + m**2 + 18*m + 8 = 0.
-4, -1
Let c(o) be the third derivative of o**7/168 + 13*o**6/16 + 41*o**5/4 - 1075*o**4/48 - 8875*o**3/8 - 224*o**2 - 20*o. Determine x so that c(x) = 0.
-71, -5, 3
Let s be (-10 - -12)*(2 + 9 - 3). Solve s*f**2 - 22*f + 17*f**2 + 118*f - 36*f**2 - 93 = 0.
1, 31
Factor 1/2*c**4 - 13/2*c**2 - 5/2*c**3 + 0 - 7/2*c.
c*(c - 7)*(c + 1)**2/2
Let z(a) be the first derivative of 79 + 1/4*a**2 - 23/20*a**5 + 27/16*a**4 + 0*a + 7/24*a**6 - 13/12*a**3. Factor z(r).
r*(r - 1)**3*(7*r - 2)/4
Let i(t) = 3*t**3 + 12*t - 13. Let y be i(1). Let v(a) be the first derivative of 0*a**2 + y*a - 2/3*a**3 + 16. Find w such that v(w) = 0.
-1, 1
Let g(y) = -6*y**3 - 2*y**2 + 1. Let x be g(-1). Let s be 9/12*(-120)/45 + 5. Suppose -s + 0*f + 14 + 4 + x*f**2 + 20*f = 0. Calculate f.
-3, -1
Let m(j) = 93*j**3 + 2626*j**2 - 7919*j + 5300. Let u(o) = -447*o**3 - 13131*o**2 + 39594*o - 26496. Let k(h) = -24*m(h) - 5*u(h). Factor k(x).
3*(x - 2)*(x - 1)*(x + 880)
Let b(z) = z**2 + 1. Let p(o) = -16*o + 4. Let k(j) = -2*b(j) + p(j). Let r be k(-8). Find y, given that 3*y**r - 5*y**2 + 6*y - 2*y - 8*y = 0.
-2, 0
Let a = -6263997/11 + 569477. Solve -86/11*t - 48/11*t**4 + a*t**2 - 124/11*t**3 + 8/11 = 0.
-4, 1/6, 1/4, 1
Let d(m) be the second derivative of -m**4/18 + 854*m**3/9 - 182329*m**2/3 + 16*m - 1. Factor d(j).
-2*(j - 427)**2/3
Let u = -863282 - -863284. Factor 0*t**u - 1/6*t**3 - 2 + 13/6*t.
-(t - 3)*(t - 1)*(t + 4)/6
Let o = -2283/616 + 2635/616. Let s be (0 - -3)*(-32)/(-42). Solve -20/7*f + o*f**2 + s = 0.
1, 4
Let w(r) = -3*r**3 - 45*r**2 + 2*r + 5. Let q(x) = 2*x**3 + x**2 - 2*x - 5. Let j(v) = 3*q(v) + 3*w(v). Factor j(g).
-3*g**2*(g + 44)
Let p(y) be the first derivative of -3*y**5/5 + 29*y**4/4 + 166*y**3/3 + 110*y**2 + 56*y - 250. Factor p(s).
-(s - 14)*(s + 2)**2*(3*s + 1)
Let r(u) = -3*u**3 - 33*u**2 - 229*u - 331. Let p(c) = c**3 + 12*c**2 + 77*c + 110. Let o(i) = -7*p(i) - 2*r(i). Determine l so that o(l) = 0.
-12, -3
Let b(a) = -4*a**3 + a**2 + 4*a + 2. Let m be b(-1). Factor m - v**2 - 153 - 52*v - 526.
-(v + 26)**2
Let b(x) be the first derivative of -x**6/150 + x**5/100 + x**4/30 + 19*x + 31. Let v(z) be the first derivative of b(z). Factor v(s).
-s**2*(s - 2)*(s + 1)/5
Let p = -424979 - -424981. Suppose -4/5*b - 8/5*b**3 - 2/5*b**4 - 2*b**p + 0 = 0. Calculate b.
-2, -1, 0
Let c(y) be the third derivative of -y**7/1155 + 19*y**6/165 + 31*y**5/66 + 13*y**4/22 + 1049*y**2. Solve c(l) = 0.
-1, 0, 78
Let x(g) be the third derivative of 2*g**7/105 + 23*g**6/15 + 52*g**5/5 - 4727*g**4/3 + 18502*g**3/3 - 818*g**2. Solve x(u) = 0 for u.
-29, 1, 11
Let r(n) be the third derivative of n**5/60 + 21*n**4/8 + 57*n**3 + 2*n**2 + 199. Factor r(p).
(p + 6)*(p + 57)
Let 90*z + 363/4 - 3/4*z**2 = 0. What is z?
-1, 121
Factor -3047 + 6342 - 6*x**2 + 73*x - 3145 + 5*x**2.
-(x - 75)*(x + 2)
Let l = 209 + -207. Factor -8*x**4 - 2*x**2 + 18*x**4 + 7*x**l + 5*x**3 - 5*x**5 - 15*x**4.
-5*x**2*(x - 1)*(x + 1)**2
Let f(k) be the second derivative of -k**7/10080 + 7*k**6/480 - 147*k**5/160 + 39*k**4/4 + 78*k - 1. Let v(a) be the third derivative of f(a). Factor v(u).
-(u - 21)**2/4
Let n = 105607/9388 + 2/2347. Let t(i) be the first derivative of -10 + n*i**4 + 5*i**3 + 5*i - 25/2*i**2. Suppose t(f) = 0. What is f?
-1, 1/3
Find t, given that 50/13*t**2 - 252/13*t + 0 - 2/13*t**3 = 0.
0, 7, 18
Let p(v) be the second derivative of v**5/50 - 29*v**4/30 + 16*v**3/3 - 52*v**2/5 - 2*v - 951. Factor p(t).
2*(t - 26)*(t - 2)*(t - 1)/5
Let l(p) = -p**2 - 53*p + 211. Let g be l(-53). Factor 4544*w**3 - 4558*w**3 - 168*w - 73*w**2 - w**4 + 67 - g.
-(w + 3)**2*(w + 4)**2
Let l(d) be the second derivative of -351*d**4/34 - 45*d**3/17 - 2*d**2/17 + 3*d + 2092. Factor l(w).
-2*(9*w + 1)*(117*w + 2)/17
What is t in -19069074 - t**2 + 0*t**2 - 2*t**2 + 16266*t - 2979489 = 0?
2711
Let h be (-2)/16 + 0 - (783/54 + -16). Let l(y) be the first derivative of 1/3*y**3 + 3/5*y**5 - 4*y - 8 + 1/12*y**6 - 3*y**2 + h*y**4. Factor l(j).
(j - 1)*(j + 1)*(j + 2)**3/2
Let c(u) be the third derivative of u**7/5670 - 2*u**5/135 + u**4/12 - 5*u**3/6 + 64*u**2. Let n(p) be the second derivative of c(p). Factor n(z).
4*(z - 2)*(z + 2)/9
Suppose -11*b + 21*b = -9*b. Let u(m) be the third derivative of 0*m**4 + 2*m**3 - 25*m**2 + b*m + 1/40*m**6 + 0 - 3/20*m**5. Determine y, given that u(y) = 0.
-1, 2
Suppose 2*z - 6*z + 8 = 0, -2*s = -4*z + 4. Factor -150*o**s - 6 + 18*o + 3*o**3 + 14 - 8 + 165*o**2.
3*o*(o + 2)*(o + 3)
Let o(a) be the second derivative of -a**6/540 + a**5/12 - a**4 + 163*a**3/6 - 266*a. Let g(m) be the second derivative of o(m). Find i such that g(i) = 0.
3, 12
Suppose -3*w + 3*r - 411 = 0, 4*r = -3*w - r - 371. Let k = 208 + w. Solve -48*t**3 + 5 - 7 - k*t**2 - 2 - 32*t = 0 for t.
-1, -1/3, -1/4
Let m(l) = l**3 + 44*l**2 + 145*l + 2564. Let d be m(-42). Let 0 + 2*b**3 + 0*b + 2/3*b**d - 8/3*b**4 = 0. Calculate b.
-1/4, 0, 1
Find y, given that -27/4*y**5 + 117/2*y**4 - 327/4*y**3 - 195*y**2 + 0 - 75*y = 0.
-2/3, 0, 5
Let -58/3*z + 19*z**2 - 115/6 + 1/6*z**4 + 58/3*z**3 = 0. What is z?
-115, -1, 1
Let d(z) = 2*z + 24. Suppose 42*k = 43*k + 11. Let a be d(k). Factor 180 - 36*f + 5*f**a + f - 25*f.
5*(f - 6)**2
Suppose 0*h + 0 - 75/4*h**4 - 2*h**2 - 9/8*h**5 - 97/8*h**3 = 0. Calculate h.
-16, -1/3, 0
Let l(r) be the first derivative of -r**5/60 + r**4/4 - 4*r**3/3 + 27*r**2/2 - 79. Let c(q) be the second derivative of l(q). Suppose c(i) = 0. Calculate i.
2, 4
Let t be ((-26)/4 - -6)*(-16)/4. Suppose -5*h = -2*s - 4, -t*s + 0*s = -3*h. Factor 4/5*p - 4/5*p**s + 0*p**2 + 0.
-4*p*(p - 1)*(p + 1)/5
Let n(y) be the third derivative of -4/45*y**5 - y**2 - 1/315*y**7 + 1/36*y**6 + 0*y**3 + 1/9*y**4 + 14 + 0*y. What is o in n(o) = 0?
0, 1, 2
Let c(o) be the first derivative of 7/5*o - 1/40*o**4 + 72 + 27/20*o**2 + 2/5*o**3. Factor c(t).
-(t - 14)*(t + 1)**2/10
Let s(u) be the third derivative of -u**8/84 - 8*u**7/105 + u**6/10 + 2*u**5/3 - 4*u**4/3 - 3*u**2 + 57*u + 4. Let s(m) = 0. What is m?
-4, -2, 0, 1
Suppose 54*s - 49*s = 585. Let k be 26/s + ((-209)/(-72) - 3). Factor 0*b - k*b**5 + 0 + 1/2*b**4 + 1/4*b**2 - 5/8*b**3.
-b**2*(b - 2)*(b - 1)**2/8
Let y(k) be the first derivative of 11*k - 1/3*k**3 + 1/12*k**4 - 5 + 1/2*k**2. Let q(m) be the first derivative of y(m). Suppose q(n) = 0. What is n?
1
Let a(p) be the third derivative of -22/21*p**4 + 60 + 968/21*p**3 + 1/105*p**5 + 2*p**2 + 0*p. Suppose a(b) = 0. Calculate b.
22
Let t(y) be the first derivative of 7/9*y**2 + 127 + 13/9*y + 1/27*y**3. Find l such that t(l) = 0.
-13, -1
Let d(c) be the first derivative of 2*c**6/105 - 2*c**4/7 - 16*c**3/21 - 6*c**2/7 - 15*c + 26. Let p(n) be the first derivative of d(n). Factor p(r).
4*(r - 3)*(r + 1)**3/7
Let i(d) be the first derivative of d**5/5 + d**4/2 - d**3/3 + d**2/2 + d + 155. Let w(g) = g**3 - 2*g**2 - 8*g + 5. Let o(n) = 3*i(n) + 3*w(n). Factor o(a).
3*(a - 1)**2*(a + 2)*(a + 3)
Let k(x) be the third derivative of x**8/100800 - 29*x**7/25200 + 7*x**6/900 - 5*x**5/2 - 243*x**2. Let j(g) be the third derivative of k(g). Factor j(p).
(p - 28)*(p - 1)/5
Let f be (1572/16)/((-6)/(-24)). Suppose 0 = -0*k - 3*k + 60. Supp