*d - 16. Let y(t) = -19*t**3 - 200*t**2 + 200*t - 47. Let s(f) = 11*n(f) - 4*y(f). What is u in s(u) = 0?
1/4, 1, 4
Suppose -6 - 6 = -b. Let d be 3*(-2)/b*-6. Find m such that -4 + 10*m**3 - 27*m**2 - 2*m**4 + 11*m**d - 4*m**4 + 1 + 15*m = 0.
1/2, 1
Let y(d) be the third derivative of d**6/360 - 11*d**5/90 - 2*d**4/3 - d**2 + 40. Factor y(a).
a*(a - 24)*(a + 2)/3
Let t be 175/210*(-556)/(-15). Factor 46*r**4 + 8/9 + 16/3*r - t*r**3 - 10/3*r**2 - 18*r**5.
-2*(r - 1)**3*(9*r + 2)**2/9
Suppose -14 = 8*a - 14. Let b(t) be the first derivative of 0*t + 8 - 2/11*t**3 + 1/22*t**4 + a*t**2. Factor b(d).
2*d**2*(d - 3)/11
Let p be (-1 - 9) + (85748/(-494))/(-17). Let 0*y + 0 - p*y**4 + 2/19*y**3 + 2/19*y**5 + 0*y**2 = 0. Calculate y.
0, 1
Factor 143*c + 125*c - 188*c + 32*c**2 - 4*c**3.
-4*c*(c - 10)*(c + 2)
Let w(b) be the first derivative of b**5/5 + 17*b**4/4 + 23*b**3/3 - 101*b**2/2 + 60*b + 48. Factor w(a).
(a - 1)**2*(a + 4)*(a + 15)
Suppose 4*p = 2*b - 22, -3*b + 319*p - 323*p = 7. Solve -18/5*v**b + 0 - 2*v**4 - 2/5*v**5 - 14/5*v**2 - 4/5*v = 0.
-2, -1, 0
Let g(u) be the third derivative of 4/3*u**3 + 0*u - 1/6*u**5 + 0 + 1/4*u**4 - 1/20*u**6 + 41*u**2 + 1/105*u**7. Determine h, given that g(h) = 0.
-1, 1, 4
Let 16/3*w + 44/9 + 4/9*w**2 = 0. Calculate w.
-11, -1
Let b(m) be the second derivative of -9*m**5/100 - 11*m**4/20 + 3*m**3/5 + 12*m**2/5 + 3*m + 4. Factor b(o).
-3*(o - 1)*(o + 4)*(3*o + 2)/5
Let y(w) = 2*w**2 + 12*w + 14. Let r(p) be the second derivative of p**4/6 + 2*p**3 + 15*p**2/2 + 5*p. Let f(d) = 4*r(d) - 3*y(d). Factor f(j).
2*(j + 3)**2
Let o(k) be the first derivative of k**4/12 - k**2/2 + 2*k/3 + 191. Factor o(y).
(y - 1)**2*(y + 2)/3
Let f(p) = -16*p**2 - 100*p - 6. Let v(c) = 3*c**2 - c - 1. Let y(d) = 2*f(d) - 20*v(d). Determine j, given that y(j) = 0.
-2, 1/23
Let t(q) = q**2 + 4*q - 5. Let o be t(-6). Let j = o - 5. Determine w so that 6*w**3 + 12*w**2 - j*w**3 - w**3 + 12*w = 0.
-2, 0
Let v(f) be the first derivative of 0*f**3 - 1/30*f**4 - 1 + 2*f**2 + 7/150*f**5 + 0*f. Let m(l) be the second derivative of v(l). Find s such that m(s) = 0.
0, 2/7
Factor -30*o**4 + 21 + 140*o**2 - 25*o**3 - 56*o**5 + 69 + 225*o + 61*o**5 - 5*o**3.
5*(o - 6)*(o - 3)*(o + 1)**3
Determine g, given that 1/8*g**3 - 3/4*g**2 + 0 + g = 0.
0, 2, 4
Let y(s) = -3*s**2 - 27*s + 12. Let a be y(-9). Let v be (-8)/a - (-2)/3. Factor v + 14/9*h**4 - 2*h**3 + 4/9*h**2 + 0*h.
2*h**2*(h - 1)*(7*h - 2)/9
Let v(k) be the second derivative of k**4/12 + 8*k**3/3 + 15*k**2/2 + k - 43. Factor v(p).
(p + 1)*(p + 15)
Let t(d) be the third derivative of d**8/16 + 6*d**7/35 + 3*d**6/40 - d**5/10 - 60*d**2. Factor t(z).
3*z**2*(z + 1)**2*(7*z - 2)
Let i(m) = -3*m**5 - 5*m**4 - 9*m**3 - 5*m**2 + 7*m + 20. Let t(a) = 4*a**5 + 6*a**4 + 10*a**3 + 6*a**2 - 8*a - 24. Let o(s) = 6*i(s) + 5*t(s). Factor o(z).
2*z*(z - 1)**2*(z + 1)**2
Find k such that 16/3*k**2 - 136*k**3 + 124/3*k**4 + 544/3*k + 0 + 4/3*k**5 = 0.
-34, -1, 0, 2
Factor -15*k**3 + 140*k - 71*k - 5*k**3 + 24*k**2 - 73*k.
-4*k*(k - 1)*(5*k - 1)
Suppose 71 = 4*b + 27. Let -4*v**3 - 41*v**2 - v**3 + b*v**2 - 25*v = 0. Calculate v.
-5, -1, 0
Let g = 17 + -7. Let n be (6/g)/(1/5). Find q such that 15*q**2 + 5*q + 3*q + 0*q**3 + q - 27 + 3*q**n = 0.
-3, 1
Let y(g) be the first derivative of 1/6*g**3 + 0*g**2 - 9 + 0*g. Factor y(u).
u**2/2
Let t(k) be the second derivative of -k**7/1260 + k**6/360 + 13*k**4/12 - 16*k. Let l(i) be the third derivative of t(i). Solve l(j) = 0 for j.
0, 1
Let 15*l**2 + 1 - 13/2*l - 3/2*l**5 + 8*l**4 - 16*l**3 = 0. Calculate l.
1/3, 1, 2
Let o be (1/(-4))/(2/32*-2). Factor -3*h**o - 1622 + 1622 - 9*h.
-3*h*(h + 3)
Factor 12*v + 12 + 13 + 23*v + 13 + 4*v + v**2.
(v + 1)*(v + 38)
Let h(v) be the second derivative of 0*v**2 + 0 - 2/9*v**3 + 1/36*v**4 + 3*v. Factor h(y).
y*(y - 4)/3
Let n(s) = s + 15. Let q be n(-18). Let h be (1/q)/((-14)/147) - 3. Factor -h*v**2 + 1/4*v**3 + 0 + 0*v.
v**2*(v - 2)/4
Let l = -49 + 53. Find h such that -3*h**3 + 4*h**2 + 4*h**5 - 9*h**3 + 3*h**l - 3*h**5 + 4*h**5 = 0.
-2, 0, 2/5, 1
Let r(y) = 76*y**3 - 112*y**2 - 516*y - 296. Let m(s) = 7*s**3 - 10*s**2 - 47*s - 27. Let x(f) = 32*m(f) - 3*r(f). Factor x(z).
-4*(z - 6)*(z + 1)**2
Let x(w) be the second derivative of 4/3*w**3 + 0 - 3*w**4 + 0*w**2 + 8*w + 7/5*w**5. Determine v, given that x(v) = 0.
0, 2/7, 1
Let c(w) = 2*w**3 + 174*w**2 + 3866*w - 8466. Let n(d) = 6*d**3 + 519*d**2 + 11599*d - 25399. Let s(z) = 7*c(z) - 2*n(z). Solve s(l) = 0 for l.
-46, 2
Let y(l) be the first derivative of l**6/24 - 3*l**5/5 + 19*l**4/16 + l**3 - 5*l**2/2 + 135. What is u in y(u) = 0?
-1, 0, 1, 2, 10
Let x(q) be the second derivative of q**6/90 + q**5/30 - q**4/4 - q**3 + 41*q. Factor x(y).
y*(y - 3)*(y + 2)*(y + 3)/3
Let i(y) be the first derivative of -y**4/60 + y**3/10 - y**2/5 - 3*y - 6. Let p(u) be the first derivative of i(u). Find d, given that p(d) = 0.
1, 2
Let p(n) = -56*n - 3860. Let h be p(-69). Suppose 4/3 + 14/3*o**h - o**2 + 16/3*o - 31/3*o**3 = 0. What is o?
-1/2, -2/7, 1, 2
Let m(d) be the first derivative of -d**4/24 - 23*d**3/3 - 529*d**2 - 48668*d/3 - 12. Factor m(n).
-(n + 46)**3/6
Let s(o) be the third derivative of 0 + 0*o**4 + 0*o**5 + 0*o - 1/150*o**6 + 23*o**2 + 0*o**3 + 1/35*o**8 - 2/525*o**7. Let s(l) = 0. What is l?
-1/4, 0, 1/3
Let k = -200825/123063 - -2/6477. Let z = 2/57 - k. Find l such that 0 + z*l**3 + 0*l + l**5 - 1/3*l**2 - 7/3*l**4 = 0.
0, 1/3, 1
Let o = 8 + -6. Let u(x) = -5*x**2 + 15*x + 50. Let g be u(-2). Let g*l - 3/5*l**o + 6/5*l**3 - 3/5*l**4 + 0 = 0. What is l?
0, 1
Let k(d) be the third derivative of 1/1785*d**7 + 0 + 0*d**3 + 0*d**4 + 0*d + 0*d**5 - 1/340*d**6 - 23*d**2. Suppose k(u) = 0. Calculate u.
0, 3
Let m be -1*(0 + -2 + -1). Let w be 0 - -2 - (m - 3). Suppose -r**2 + 1 - r**w + 5 + 2 = 0. Calculate r.
-2, 2
Let d be 14*(-3)/72*2/(-10). Let l(h) be the second derivative of 0 - 1/5*h**2 + d*h**4 - 5*h - 1/6*h**3. Determine s so that l(s) = 0.
-2/7, 1
Suppose 5*g + 4*s - 27 = 0, -s = 4*g - 0*s - 15. Factor -5*p + g*p + 2*p**2 - 3*p**2 + 1 + 2*p**2.
(p - 1)**2
Let o(y) = -3*y - 3. Suppose 28*k - 38*k = -30. Let i(w) = -w**5 + w**4 + w**3 - w**2 + 5*w + 5. Let m(f) = k*i(f) + 5*o(f). Factor m(z).
-3*z**2*(z - 1)**2*(z + 1)
Let n(i) be the second derivative of -i**4/90 + 14*i**3/9 - 245*i**2/3 + 2*i + 33. Find b, given that n(b) = 0.
35
Let i(p) = -5*p**2 - 6*p + 7. Let c(a) = -9*a**2 - 7*a - 7. Let v(d) = 4*d**2 + 3*d + 3. Let l(k) = 3*c(k) + 7*v(k). Let x(q) = -i(q) - 4*l(q). Factor x(t).
(t - 1)*(t + 7)
Let l = -16 - -8. Let a = -5 - l. Let -2*u + 0*u + 12 + a*u**2 - 9*u - u = 0. Calculate u.
2
Let a(q) be the first derivative of q**5/160 - q**4/48 - q**3/16 + 10*q - 19. Let d(z) be the first derivative of a(z). Factor d(y).
y*(y - 3)*(y + 1)/8
Let y = -12206/7 + 1745. Factor 0 + y*i - 3/7*i**2.
-3*i*(i - 3)/7
Let y(r) be the third derivative of 0 + 0*r + 0*r**3 + 10*r**2 - 1/510*r**5 - 1/204*r**4. Determine i, given that y(i) = 0.
-1, 0
Let j(m) be the second derivative of -m**4/24 - 14*m**3 - 1764*m**2 - 7*m - 2. Factor j(v).
-(v + 84)**2/2
Let -30/7*q - 6*q**3 - 58/7*q**2 - 4/7 - 10/7*q**4 = 0. Calculate q.
-2, -1, -1/5
Let y(l) be the second derivative of 1/150*l**6 + 1/100*l**5 + 0 - 1/30*l**3 + 0*l**2 - 1/60*l**4 + 8*l. Factor y(r).
r*(r - 1)*(r + 1)**2/5
Let w(z) = -3 + 6*z**3 - 16*z**2 + 7*z**3 - z**3 + 18*z + 0*z**3. Let f(d) = -d**3 + d**2 - d. Let a(t) = -44*f(t) - 4*w(t). Solve a(o) = 0 for o.
1, 3
Let i = 995 + -992. Let y(u) be the first derivative of 0*u - 1/16*u**4 + 0*u**2 - 1 + 1/6*u**i. Factor y(f).
-f**2*(f - 2)/4
Let n(q) be the first derivative of -4*q**3 - 16/3*q + 20/3*q**2 - 2/15*q**5 + 10 + 7/6*q**4. Solve n(j) = 0.
1, 2
Let h(q) be the second derivative of -q**8/2688 + q**7/2520 - q**4 - 18*q. Let o(g) be the third derivative of h(g). Factor o(s).
-s**2*(5*s - 2)/2
Suppose 27/2*j + 10/3*j**4 + 59/3*j**3 + 0 + 30*j**2 + 1/6*j**5 = 0. What is j?
-9, -1, 0
Let t(l) be the third derivative of l**8/2016 - l**7/840 - l**6/180 - 7*l**5/12 - 28*l**2. Let r(x) be the third derivative of t(x). Find z such that r(z) = 0.
-2/5, 1
Suppose 1 + 2 = -3*z + 5*s, -2*z - 3*s - 21 = 0. Let j(h) = -2*h - 6. Let k be j(z). Determine v, given that -4*v - v**2 + 0*