3*s + 0*s**2 - s**4. Factor v(j).
3*j*(j - 3)*(j - 1)
Let k = 11851/50 + -237. Let o(z) be the second derivative of 6*z + 9/10*z**2 - 1/70*z**7 + 0 + 7/10*z**4 + 11/10*z**3 + 9/50*z**5 - k*z**6. Factor o(p).
-3*(p - 3)*(p + 1)**4/5
Let o(d) be the first derivative of -d**5 + 55*d**4/4 - 60*d**3 + 40*d**2 + 320*d + 132. Factor o(g).
-5*(g - 4)**3*(g + 1)
Let n(y) be the second derivative of y**5/140 + 2*y**4/21 + 8*y**3/21 + 189*y. Factor n(c).
c*(c + 4)**2/7
Suppose -3*l = -16 - 65. Determine b so that -3*b**2 - 65*b + 46*b + 49*b - l = 0.
1, 9
Let c(j) be the third derivative of -j**5/36 + 31*j**4/36 - 4*j**3/3 - 48*j**2. Factor c(w).
-(w - 12)*(5*w - 2)/3
Suppose 130*z - 57 = 111*z. Let y(w) be the third derivative of 0 - 1/30*w**6 + 0*w + 8*w**2 + 8/3*w**z - 4/3*w**4 + 1/3*w**5. Suppose y(g) = 0. What is g?
1, 2
Let r(u) be the third derivative of 1/160*u**6 - 13*u**2 + 0*u**5 + 0*u**3 + 0 + 0*u + 0*u**4. Factor r(b).
3*b**3/4
Let w(r) = 5*r**3 - 5*r - 2. Let n(a) = 35*a**3 - 2*a + 9*a - 15 - 25*a + 6*a - 23*a. Let x = -7 - -22. Let s(g) = x*w(g) - 2*n(g). Factor s(d).
5*d*(d - 1)*(d + 1)
Let q(x) = 6*x**4 + 27*x**3 + 96*x**2 + 72*x + 5. Let j(b) = -3*b**4 - 12*b**3 - 48*b**2 - 36*b - 3. Let u(z) = -5*j(z) - 3*q(z). Let u(d) = 0. Calculate d.
-3, -2, 0
Let f(o) be the third derivative of o**9/3024 + o**8/560 + o**7/280 + o**6/360 + 5*o**3/3 + 2*o**2. Let s(r) be the first derivative of f(r). Factor s(g).
g**2*(g + 1)**3
Let q(x) be the second derivative of x**6/30 + 11*x**5/10 + 97*x**4/12 - 44*x**3 + 72*x**2 - 2*x - 87. Factor q(i).
(i - 1)**2*(i + 12)**2
Let i = -27 + 29. Determine l so that -l - 5*l**2 + i*l - 1 - 3*l**3 + 2*l**3 + 6*l**2 = 0.
-1, 1
Let o(d) = 25 + 8*d**2 + 19 - 27 - 25*d. Let p(s) = -2*s**2 + 6*s - 4. Let c(u) = 2*o(u) + 9*p(u). Suppose c(r) = 0. Calculate r.
1
Let m(h) be the first derivative of h**4/2 + 4*h**3/3 - 4*h**2 - 16*h + 762. Factor m(o).
2*(o - 2)*(o + 2)**2
Let u = -34006 - -1530377/45. Let b = 13/5 - u. Find h, given that 2/9*h + 2/3*h**2 + b*h**4 + 2/3*h**3 + 0 = 0.
-1, 0
Let d(t) = 7*t**4 + 225*t**3 + 437*t**2 + 215*t - 4. Let c(p) = -27*p**4 - 900*p**3 - 1749*p**2 - 861*p + 15. Let x(w) = -4*c(w) - 15*d(w). Factor x(g).
3*g*(g + 1)**2*(g + 73)
Let h(w) be the second derivative of -w**4/4 + 5*w**3/3 - 12*w**2 - 20*w + 3. Let q(j) = -2*j**2 + 7*j - 16. Let i(r) = -5*h(r) + 8*q(r). What is d in i(d) = 0?
2, 4
Suppose 6*s = 19*s + 7*s. Let m(i) be the second derivative of -1/16*i**4 - i - 1/4*i**3 + 3/40*i**5 + s + 0*i**2 + 1/40*i**6. Factor m(f).
3*f*(f - 1)*(f + 1)*(f + 2)/4
Let v(n) be the third derivative of 49/20*n**4 - 343/15*n**3 + 11*n**2 + 1/300*n**6 + 0*n - 7/50*n**5 + 0. Determine r, given that v(r) = 0.
7
Let i(o) = -o + 38. Let d be i(11). Let b be d/6 - (-2 + 6). Solve -y**3 - b*y**2 + 0 - 1/2*y**4 + 0*y = 0 for y.
-1, 0
Let a = -133/555 - -4/15. Let q = 34/111 + a. Solve 2/3 + 1/3*x - q*x**2 = 0 for x.
-1, 2
Let p(i) be the second derivative of -i**7/105 + i**5/10 + i**4/6 - 2*i**2 - 4*i. Let q(t) be the first derivative of p(t). Factor q(r).
-2*r*(r - 2)*(r + 1)**2
Let k(c) be the second derivative of c**8/6720 - c**7/1120 + c**6/720 - 5*c**3/3 - 2*c. Let w(j) be the second derivative of k(j). Determine v so that w(v) = 0.
0, 1, 2
Let g(q) be the third derivative of -q**5/12 + 25*q**4/6 - 250*q**3/3 + q**2 - 8*q. Determine z, given that g(z) = 0.
10
Let k(u) be the third derivative of u**4/24 - 2*u**3/3 + 2*u**2. Let v be k(6). Suppose -6*y**3 - 2 + y + 2*y**4 + 2*y**v - 2 + 5*y = 0. What is y?
-1, 1, 2
Let a = -813 - -6058/7. Let j = a - 52. Factor 0*l**2 + 0*l - 1/7*l**4 + j*l**3 + 0.
-l**3*(l - 3)/7
Suppose 7*k - 27 - 15 = 0. Let 8*p - 8*p**3 + 6*p**2 - k*p**2 + 4*p**2 - 4*p**4 = 0. Calculate p.
-2, -1, 0, 1
Let c be -10 + 2/(16/(-20))*-4. Find o such that 0*o**3 + 1/5*o**4 + 0*o - 1/5*o**2 + c = 0.
-1, 0, 1
Let a(y) = -23 + 13*y + 12 - 3*y**2 + 12. Let w be a(4). Determine j so that 0*j - j**3 + j**4 + 1/3*j**2 - 1/3*j**w + 0 = 0.
0, 1
Let m(j) be the third derivative of j**9/30240 - j**8/3360 + j**7/1008 - j**6/720 - j**4/12 - 7*j**2. Let v(g) be the second derivative of m(g). Solve v(c) = 0.
0, 1, 2
Let c be (-16)/(-40) + 23/5. Determine t, given that 13*t**2 - 12 + 15*t**3 - 3*t**4 - 12*t - t**2 - 7*t**2 + 10*t**2 - 3*t**c = 0.
-2, -1, 1, 2
Suppose -4*x + 13 = s - 5, -4*x - 3*s + 14 = 0. Suppose -l - 3 = -x. Factor g + 3*g + 2 + l*g**2 + 0*g**2.
2*(g + 1)**2
Let u be (1/5)/(30/100). Let 1/3*c**5 + 5/3*c**4 + 7/3*c**2 + u*c + 0 + 3*c**3 = 0. Calculate c.
-2, -1, 0
Let o(a) = 3*a**4 + 2*a**3 + 60*a**2 + 140*a + 96. Let w(u) = -4*u**4 - u**3 - 60*u**2 - 141*u - 96. Let q(j) = -5*o(j) - 4*w(j). Find f, given that q(f) = 0.
-2, 12
Let i(b) = -b**3 - 9*b**2 + 357*b - 70. Let a be i(-24). Factor 1/3*j**a - j + 2/3.
(j - 2)*(j - 1)/3
Let d(t) be the second derivative of t**7/42 - 3*t**6/10 + 2*t**5/5 + 3*t - 43. Find k such that d(k) = 0.
0, 1, 8
Suppose -5*f = 3*k + 26, -f - f - 17 = -k. Let r = f + 9. Let -5*v + 2*v + 8 - 2*v**r + 3*v = 0. Calculate v.
-2, 2
Let h = 5489/16 - 343. Let f(g) be the second derivative of -1/8*g**3 + 0 + 3/80*g**5 - 3/8*g**2 - 5*g + h*g**4. Factor f(t).
3*(t - 1)*(t + 1)**2/4
Let i(x) be the third derivative of x**5/60 - 3*x**4 + 216*x**3 + x**2 + 40. Factor i(p).
(p - 36)**2
Let i(k) be the first derivative of -k**4/36 - 7*k**3/27 - k**2/3 - 61. Factor i(o).
-o*(o + 1)*(o + 6)/9
Let m(k) = k**2 - 6*k + 10. Let s be m(4). Let 0*h - 35*h + 15*h - 5*h**s = 0. Calculate h.
-4, 0
Let i(o) be the third derivative of o**8/336 + 2*o**7/105 + o**6/120 - o**5/6 - o**4/6 + 4*o**3/3 - 2*o**2 + 39*o. Determine m so that i(m) = 0.
-2, 1
Let z(h) be the second derivative of -13*h + 2/39*h**3 + 0 + 0*h**2 - 1/78*h**4. Factor z(l).
-2*l*(l - 2)/13
Let t = -36229/13 - -2787. Suppose 0*s**2 + 0 + t*s**4 + 6/13*s**3 - 8/13*s = 0. Calculate s.
-2, 0, 1
Let z(o) = -77*o**2 - 7*o + 4. Let v be z(0). Factor 0 + 0*g + 1/3*g**3 - 2/3*g**2 + 1/3*g**v.
g**2*(g - 1)*(g + 2)/3
Suppose -59*k + f - 11 = -61*k, 0 = 3*k + 2*f - 14. Let -8/3 + k*h + 4*h**3 - 26/3*h**2 - 2/3*h**4 = 0. Calculate h.
1, 2
Let i(c) be the second derivative of 2*c**6/15 - 6*c**5/5 + 8*c**4/3 + 4*c**3 - 18*c**2 + 4*c - 8. Factor i(v).
4*(v - 3)**2*(v - 1)*(v + 1)
Let n(r) be the third derivative of 3/4*r**4 + 0*r + 0 - 5/2*r**3 + 13*r**2 - 1/20*r**5. Factor n(m).
-3*(m - 5)*(m - 1)
Let n = 1488 - 249983/168. Let y(z) be the second derivative of 0 + 5/48*z**4 - n*z**7 - 13*z + 0*z**2 + 3/80*z**5 - 1/120*z**6 + 1/12*z**3. Factor y(k).
-k*(k - 2)*(k + 1)**3/4
Let u(y) be the first derivative of -3*y**4/4 + 7*y**3 + 3*y**2/2 - 21*y + 569. Factor u(m).
-3*(m - 7)*(m - 1)*(m + 1)
Let r(q) be the second derivative of 0 + 1/30*q**6 - 1/6*q**4 + 2*q**2 - 1/15*q**5 - 11*q + 2/3*q**3. Let n(p) be the first derivative of r(p). Factor n(k).
4*(k - 1)**2*(k + 1)
Suppose 0*z**2 + 9/7*z + 6/7 - 3/7*z**3 = 0. Calculate z.
-1, 2
Let d be 369/287*(-3)/81*-6. Determine k, given that 0 + 2/7*k - d*k**3 + 0*k**2 = 0.
-1, 0, 1
Let u(z) be the second derivative of z**4/48 - 37*z**3/12 + 1369*z**2/8 - 23*z + 2. Suppose u(w) = 0. What is w?
37
Let m be (-9)/(-18)*(-8)/(-2). Suppose -3*c + 2*c**2 + 0*c**m + 0*c**2 - c + 2 = 0. What is c?
1
Let n(y) be the first derivative of -y**6/120 + y**5/40 - 6*y**3 + 20. Let s(x) be the third derivative of n(x). Solve s(k) = 0 for k.
0, 1
Let f(n) be the third derivative of n**9/15120 - n**8/2520 + n**7/1260 + 3*n**5/20 - 4*n**2. Let i(l) be the third derivative of f(l). What is a in i(a) = 0?
0, 1
Let t(z) = -z**2 - 6*z + 10. Let i be t(-7). Let y(h) = -h - 3*h + i*h. Let l(s) = -s**2 - s. Let c(x) = -6*l(x) + 2*y(x). What is r in c(r) = 0?
-2/3, 0
Let a(j) be the first derivative of -1/20*j**4 - 7 + 1/10*j**2 - 1/5*j**3 + 3/5*j. Solve a(g) = 0 for g.
-3, -1, 1
Let q(a) be the third derivative of -a**7/3780 + a**5/540 + 7*a**3/6 + 8*a**2. Let r(x) be the first derivative of q(x). Factor r(l).
-2*l*(l - 1)*(l + 1)/9
Let k(g) = 5*g**4 - 25*g**3 - 13*g**2 + 24*g. Let n(y) = -y**4 + 6*y**3 + 3*y**2 - 6*y. Let b(f) = -2*k(f) - 9*n(f). Suppose b(s) = 0. Calculate s.
-3, -2, 0, 1
Let g be (1 - 3 - -5)/1. Determine a, given that -6*a - a + 2 - g*a + 7*a + a**3 = 0.
-2, 1
Let r(z) be the second derivative of -