k(v) = -2*v + 1. Let r(f) = 4*j(f) + 20*k(f). Solve r(b) = 0.
-3, -1
Let x(o) be the first derivative of -o**3/9 - 2*o**2 - 11*o/3 - 84. Determine j, given that x(j) = 0.
-11, -1
Let q(s) be the second derivative of 1 - 32*s + 1/3*s**4 + 2/3*s**3 + 0*s**2. Solve q(b) = 0 for b.
-1, 0
Factor 2/9*b**4 + 64/9 - 8/3*b**2 + 16/9*b - 4/9*b**3.
2*(b - 4)*(b - 2)*(b + 2)**2/9
Factor -1/3*n**3 - 11285*n - 11163 - 367/3*n**2.
-(n + 1)*(n + 183)**2/3
Let i(s) = -s**3 - 20*s**2 + 26*s + 98. Let u be i(-21). Let f be (u/(-42))/(5/45). Factor -1/2 - 1/2*o**3 - f*o**2 - 3/2*o.
-(o + 1)**3/2
Let m be (-2 + -2)*-1 - 8. Let b be 4 + -6 + (0 - m). Factor -3*i**2 - 6*i**b + 12*i + 13*i**2.
4*i*(i + 3)
Let w(m) be the third derivative of -m**6/180 + m**5/90 + m**4/36 - m**3/9 - 43*m**2. Let w(f) = 0. What is f?
-1, 1
Let z(d) be the first derivative of 0*d**2 + 7 + 1/12*d**4 - 1/3*d**3 + 0*d. Find c such that z(c) = 0.
0, 3
Let o(l) = 5*l**3 + 7*l**2 + 2*l + 3. Let x = -2 - -5. Let k(m) = -35*m**3 - 50*m**2 - 15*m - 20. Let g(y) = x*k(y) + 20*o(y). Factor g(a).
-5*a*(a + 1)**2
Let r(m) be the third derivative of m**7/630 - m**6/45 + 7*m**4/12 + 16*m**2. Let d(q) be the second derivative of r(q). Find p such that d(p) = 0.
0, 4
Let l(j) be the third derivative of -5*j**5/54 - 5*j**4/54 - j**3/27 - 293*j**2. Determine d, given that l(d) = 0.
-1/5
Let w(m) be the second derivative of -m**7/840 - m**6/180 - 10*m**3/3 - 22*m. Let f(d) be the second derivative of w(d). Determine p so that f(p) = 0.
-2, 0
Let t = -3947/9 - -439. Factor -2/9*s + 2/9*s**4 + t*s**3 + 2/9 - 4/9*s**2 - 2/9*s**5.
-2*(s - 1)**3*(s + 1)**2/9
Let s be (1636/(-818))/(10/(-4) + -1). Factor 2/7*a**5 + 0*a**3 + 0 + 0*a**2 + s*a**4 + 0*a.
2*a**4*(a + 2)/7
Let f(j) be the second derivative of j**7/42 - 4*j**6/5 + 33*j**5/10 - 16*j**4/3 + 7*j**3/2 - 387*j. Factor f(p).
p*(p - 21)*(p - 1)**3
Let p(x) = x**4 - 7*x**3 - 8*x**2 - 6*x + 6. Let o(y) = -3*y**4 + 20*y**3 + 23*y**2 + 17*y - 17. Let w(j) = -6*o(j) - 17*p(j). Factor w(g).
g**2*(g - 2)*(g + 1)
Solve 0*r**2 - 2*r**2 - 68*r + 60*r = 0 for r.
-4, 0
Suppose -18 = -111*j + 105*j. Let u(q) be the second derivative of 0*q**j + 0 + 2*q + 0*q**2 - 1/6*q**4 + 3/20*q**5 - 1/30*q**6. Let u(s) = 0. What is s?
0, 1, 2
Let y(h) be the first derivative of -1/20*h**4 + 22 - 1/10*h**2 - 6/5*h + 4/15*h**3. Factor y(s).
-(s - 3)*(s - 2)*(s + 1)/5
Let f(h) = h**4 + 11*h**3 - 25*h**2 - 35*h + 45. Let n(w) = -2*w**4 - 10*w**3 + 26*w**2 + 34*w - 46. Let u(z) = 2*f(z) + 3*n(z). Solve u(b) = 0 for b.
-3, -2, 1, 2
Let r(c) be the first derivative of -1/3*c**3 + 4/5*c + 1/25*c**5 + 0*c**4 - 15 + 0*c**2. Determine p so that r(p) = 0.
-2, -1, 1, 2
Suppose 120*h**3 - 12*h**4 - 60*h**2 - 73*h**3 + 47*h**4 - 87*h**3 = 0. Calculate h.
-6/7, 0, 2
Let i(k) = 3*k**3 - k**2 + k. Let u(h) = 14*h**3 + 5*h**2 - 12*h + 8. Let x(n) = -20*i(n) + 4*u(n). Factor x(q).
-4*(q - 8)*(q - 1)**2
Let f(d) be the first derivative of 2*d**5/5 + 2*d**4 - 4*d**3 - 36*d**2 - 54*d + 111. Factor f(o).
2*(o - 3)*(o + 1)*(o + 3)**2
Find o such that -18/13*o**4 + 0*o + 30/13*o**3 + 50/13*o**2 + 2/13*o**5 + 0 = 0.
-1, 0, 5
Let l(h) be the second derivative of 1/120*h**6 + 0 - 3/8*h**4 - 4*h + 0*h**2 - 1/20*h**5 + 2/3*h**3. Let g(i) be the second derivative of l(i). Factor g(r).
3*(r - 3)*(r + 1)
Let t(i) be the second derivative of i**4/4 - 27*i**2/2 - 84*i. Factor t(s).
3*(s - 3)*(s + 3)
Let 2/3*y + 0 + 1/3*y**2 = 0. What is y?
-2, 0
Suppose -7 - 11 = -6*x. Suppose -10*t**2 - 6 + 2*t**2 - 3*t + 3*t**x + 6*t**2 + 8*t**2 = 0. Calculate t.
-2, -1, 1
Let g be (-120)/(-35) + (-6)/14. Find s, given that 0*s**2 - 6*s - 3*s**2 + g*s - 3*s**2 - 3*s**3 = 0.
-1, 0
Let v be 4240/2226 - 8/6. Find d such that -v*d**3 - 2/7*d**4 + 8/7*d - 8/7 + 6/7*d**2 = 0.
-2, 1
Let k be (4 - 2)*-2*1/(-2). Factor 3*q**3 - 28*q**3 - 15*q + 40*q**k + 5*q**4 - 5*q.
5*q*(q - 2)**2*(q - 1)
Let m(v) = 18*v**4 - 3*v**3 + 12*v**2 - 12*v. Let b(i) = i**4 + i**2 - i. Let f(p) = 11*p - 1. Let x be f(0). Let t(u) = x*m(u) + 15*b(u). Solve t(a) = 0 for a.
-1, 0, 1
Let z(j) = 4*j**3 - j**2 + 5*j - 5. Let v be z(1). Determine a so that 1/2*a**5 + 270*a - 10*a**4 + 145/2*a**v - 108 - 225*a**2 = 0.
1, 6
Let h(t) = -2*t**3 + 5*t**2 - 25*t + 16. Let d(f) = 4*f**3 - 4*f**2 + 24*f - 16. Let j(n) = 3*d(n) + 4*h(n). Factor j(w).
4*(w - 1)**2*(w + 4)
Let s(c) be the second derivative of -c**7/189 - c**6/135 + c**5/90 + c**4/54 + 25*c + 2. Factor s(q).
-2*q**2*(q - 1)*(q + 1)**2/9
Let d be (4/(-3))/((-36)/81). Determine l, given that 2*l**d + 8*l**2 + 13*l - 13*l = 0.
-4, 0
Let j = 11 - 52. Let m = j - -43. Factor -4/5 - 2/5*w**3 - m*w - 8/5*w**2.
-2*(w + 1)**2*(w + 2)/5
Let l = 91 - 10. Factor 116*h**3 - 189*h**2 + 140*h**3 - 6 - l*h**4 + 57*h - 51*h**3 + 38*h**3.
-3*(h - 2)*(3*h - 1)**3
Let p(w) be the first derivative of 3/4*w**2 - 6 - w - 1/6*w**3. Factor p(y).
-(y - 2)*(y - 1)/2
Let v = -150 + 125. Let j be v/20*10/(-25). Factor -j*m + m**2 - 1 + 1/2*m**3.
(m - 1)*(m + 1)*(m + 2)/2
Let d(y) be the second derivative of 1/25*y**5 + 32/5*y**3 + 72/5*y**2 + 19*y + 0 + 13/15*y**4. Factor d(n).
4*(n + 1)*(n + 6)**2/5
Let d = -12 + 23. Let p(k) = -k + 16. Let f be p(d). Factor 4*g**4 - 4*g**2 - 2*g + 2*g**f + 0 + 0.
2*g*(g - 1)*(g + 1)**3
Factor -141*l**2 - 175*l - 77*l + 33*l + 144*l**2.
3*l*(l - 73)
Let z(j) be the first derivative of -2*j**3 + 1/6*j**4 + 0*j**2 - 1/20*j**5 + 1/180*j**6 + 5 + 0*j. Let c(l) be the third derivative of z(l). Factor c(b).
2*(b - 2)*(b - 1)
Let g(k) = -k**3 - k**2 + k. Suppose 0 = -16*f + 21*f + 25. Let a(d) = 6*d**3 + 3*d**2 - 10*d. Let i(y) = f*a(y) - 35*g(y). Factor i(z).
5*z*(z + 1)*(z + 3)
Factor 36504/5*w - 468/5*w**2 + 2/5*w**3 - 949104/5.
2*(w - 78)**3/5
Let u be (5/45)/((-27)/(-324)). Let -u - 4/3*p**3 - 4/3*p**4 + 8/3*p**2 + 2/3*p + 2/3*p**5 = 0. Calculate p.
-1, 1, 2
Let -3847*k**3 + 4 - 3*k**4 - 4 + 7704*k**3 - 3821*k**3 + 39*k**2 = 0. What is k?
-1, 0, 13
Find i such that 58*i**3 + 16*i**2 - 24*i**3 - 4560*i - 37*i**3 + 215*i**2 + 4332 = 0.
1, 38
Let y(x) = -15*x**3 + 128*x**2 - 151*x - 156. Let d(n) = 3*n**2 - n - 1. Let z(q) = 6*d(q) - y(q). Determine r so that z(r) = 0.
-2/3, 3, 5
Let d(f) = -f**3 - 7*f**2 - 5*f - 4. Let p be d(-6). Let h = 12 + p. Factor -24*m - m**2 - 2*m**h + 30*m.
-3*m*(m - 2)
Let w = 8562 - 25678/3. Factor -w*i**3 + 6*i**2 + 2/3 - 4*i.
-2*(i - 1)**2*(4*i - 1)/3
Let q(u) be the first derivative of 5/3*u**3 + 5/2*u**4 - 5*u**2 + 6 + 0*u - u**5. Find j, given that q(j) = 0.
-1, 0, 1, 2
Find l such that 0*l + 0 + 3/4*l**4 + 81/4*l**3 - 21*l**2 = 0.
-28, 0, 1
Suppose 0 = 2*h - 9 - 5. Suppose 4*j**2 + h*j**2 + 0 + 14*j**2 + 20*j - 5 = 0. What is j?
-1, 1/5
Let r(a) be the first derivative of -a**4 - a**3 + 2*a**2 + 4/5*a**5 - a + 7. Suppose r(j) = 0. Calculate j.
-1, 1/2, 1
Let 68 - 37*y - 14*y**2 - 29*y - 48 = 0. Calculate y.
-5, 2/7
Suppose 3*b - 48 = 2*l + 5, -2*l + 10 = 0. Let t be (-3)/b - (-58)/14. Determine x so that 3*x**4 - 2*x**t + 3*x**2 - 4*x**2 + 3*x**3 - 2*x**5 - x = 0.
-1, -1/2, 0, 1
Factor 26/5 - 1/5*d**2 + 11/5*d.
-(d - 13)*(d + 2)/5
Let l(h) be the second derivative of -h**6/210 - 4*h**5/105 - h**4/14 - 5*h**2 - 30*h. Let x(o) be the first derivative of l(o). Let x(y) = 0. What is y?
-3, -1, 0
Solve -3*w**4 + 12 - 10*w - 6*w**3 - 14*w**2 + 2 + 16*w**3 + 5*w**4 - 2 = 0 for w.
-6, -1, 1
Let x be 2*(-3)/18*-8. Let w be (-4)/(-30) - (-10146)/855. Determine i so that 52/3*i - w*i**2 - x - 64/3*i**4 - 160/3*i**3 = 0.
-2, -1, 1/4
Let z(h) be the third derivative of 1/48*h**4 + 1/840*h**7 + 44*h**2 - 1/240*h**5 + 0*h + 0 - 1/240*h**6 + 0*h**3. Determine l, given that z(l) = 0.
-1, 0, 1, 2
Let m(w) = 2*w**5 + 33*w**4 - 100*w**3 + 70*w**2 + 5*w - 5. Let h(x) = 3*x**5 + 33*x**4 - 99*x**3 + 69*x**2 + 6*x - 6. Let u(g) = 5*h(g) - 6*m(g). Factor u(v).
3*v**2*(v - 5)**2*(v - 1)
Let l = -319 - -337. Find s such that 3/2*s**4 + l*s + 9*s**3 + 6 + 39/2*s**2 = 0.
-2, -1
Suppose 5*c - 4*b - 10 = 0, 2 = c - 4*b + 2*b. Let q be 7 - c*(-2 - -4). Suppose -1/2*j**4 - 1/2*j**5 + 0 + 1/2*j**q + 1/2*j**2 + 0*j = 0. What is j?
-1, 0, 1
Find o such that -8/7*o**4 + 20/7*o**2 + 0*o**3 - 2/7*o + 2/7*o**5 - 12/7 = 0.
-1, 1, 2, 3
Let z(g) be the third derivative of g**8/336 - g**7/105 - g**6/40 + g**5/15 + g**4/6 +