 a(b) be the third derivative of -2/33*b**4 - 1/330*b**5 - 16*b**2 + 0*b + 0 + 4/33*b**3 + 1/330*b**6. Determine f so that a(f) = 0.
-2, 1/2, 2
Let d = -21 - -25. Solve 80 - 56 - 5*c**2 - 19*c**2 - 4*c**3 + d*c = 0.
-6, -1, 1
Suppose -4/7*k**5 + 12/7*k**3 + 16/7*k + 8/7*k**4 - 32/7*k**2 + 0 = 0. Calculate k.
-2, 0, 1, 2
Let o(m) be the third derivative of -m**6/360 + m**5/45 + 19*m**4/72 + 7*m**3/9 - 312*m**2. Factor o(x).
-(x - 7)*(x + 1)*(x + 2)/3
Let r(z) = -z**3 + 5*z**2 - 4*z - 3. Let x(q) = q**3 - 6*q**2 + 5*q + 4. Let g = -40 + 37. Let i(b) = g*x(b) - 4*r(b). Factor i(o).
o*(o - 1)**2
Suppose 74*t = -68*t + 20*t + 244. Factor -3/7*p**t - 36/7*p - 108/7.
-3*(p + 6)**2/7
Let h = 166/9 + -5792/315. Let z(x) be the first derivative of 0*x - 3 - 1/7*x**2 - 3/14*x**4 + h*x**5 + 2/7*x**3. Factor z(q).
2*q*(q - 1)**3/7
Let f(n) = -8*n**3 - 35*n**2 - 60*n - 15. Let i(a) = -a**3 - a**2 - a + 1. Let h = -22 - -22. Suppose 4*j - 15 + 3 = h. Let l(u) = j*i(u) - f(u). Factor l(v).
(v + 3)**2*(5*v + 2)
Let g(i) be the second derivative of -i**7/42 - i**6/5 + 6*i**5/5 + 20*i**4/3 - 56*i**3 + 144*i**2 + 24*i + 2. Let g(n) = 0. Calculate n.
-6, 2
Let z(i) = -i**2 - 3*i - 10. Let u(d) = 3*d + 4. Let h(t) = 1. Let w(n) = -5*h(n) - u(n). Let o(v) = 4*w(v) - 3*z(v). What is y in o(y) = 0?
-1, 2
Let i be ((-1)/15)/((-4 - -2)/(-154)). Let f = i - -29/5. Factor 0*z - 2/3*z**3 - f*z**2 + 0.
-2*z**2*(z + 1)/3
Let y(k) = 13*k - 53. Let m be y(8). Factor 15*h**4 + 34*h**2 - 34*h**3 + 104*h**3 + 30*h + m*h**2.
5*h*(h + 1)*(h + 3)*(3*h + 2)
Let u(o) = 865*o**2 + 1710*o + 865. Let z(h) = -h**3 + 866*h**2 + 1711*h + 868. Let n(s) = -6*u(s) + 5*z(s). Solve n(t) = 0.
-170, -1
Let t = -56 + 59. Suppose t*u = -i + u + 13, -10 = -5*i + u. Factor 1/3*w**2 - 1/3*w**4 + 0*w**i + 0 + 0*w.
-w**2*(w - 1)*(w + 1)/3
Let s be ((-1)/4)/((-12)/(-18) + 40/(-48)). Determine n so that -1/4*n**2 - s*n - 9/4 = 0.
-3
Let z(t) = t**2 - t - 3. Let c be (-4 - -6)*(-3)/(-2). Let v be z(c). Suppose 4*d**3 - 6*d**2 - v*d + 6*d - 8 - 3*d**3 + 9*d = 0. What is d?
2
Let l(x) be the first derivative of x**7/420 - x**5/40 + x**4/24 + 11*x**2/2 - 3. Let r(o) be the second derivative of l(o). Determine b so that r(b) = 0.
-2, 0, 1
Let o(q) be the second derivative of q**6/75 + q**5/10 + 3*q**4/10 + 7*q**3/15 + 2*q**2/5 + 58*q. Factor o(a).
2*(a + 1)**3*(a + 2)/5
Let k be 3/(-22)*400/(-450). Let w(b) be the first derivative of 1/22*b**4 + 0*b - 1/11*b**2 + 4/55*b**5 + 7 - k*b**3. Find m, given that w(m) = 0.
-1, -1/2, 0, 1
Let s(i) = -4*i**2 - 5*i + 3. Let m(h) = h**2 + 2*h - 1. Let b(f) = 7*m(f) + 2*s(f). Let p be b(3). Factor 2*a - 5*a**2 + 6*a**p + 0*a**2.
a*(a + 2)
Let t(n) = -n**2 - n. Let r(h) = h**3 + 6*h**2 + 5*h. Let l(z) = r(z) + 3*t(z). Suppose l(u) = 0. Calculate u.
-2, -1, 0
Let o(x) = -8*x**3 - 3*x**2 - 23*x - 35. Let y(f) = -7*f**3 - 4*f**2 - 23*f - 32. Let p(i) = 6*o(i) - 7*y(i). Find s, given that p(s) = 0.
-7, -2, -1
Let x(s) = -44 + 60*s**2 - 32*s**3 + 2*s**3 - 2*s**3 - 60*s. Let j = -20 - -32. Let r(u) = u**3 + u**2 + u + 1. Let c(a) = j*r(a) + x(a). Solve c(o) = 0 for o.
-2/5, 2
Let a(b) be the first derivative of 5*b**2/2 - 20*b - 38. Let h be a(4). Determine l so that 2/5*l**2 - 3/5*l**3 + 0*l + 1/5*l**4 + h = 0.
0, 1, 2
Let n be 88/44 - ((-51)/6)/1. Factor -n*a**2 - 27/2 + 45/2*a + 3/2*a**3.
3*(a - 3)**2*(a - 1)/2
Suppose 5 = a - 0. Suppose 4*c = -8*w + 9*w + 18, -4 = 2*w. Let 0*j**2 - 1/4*j**a + 0 + 0*j**3 + 1/4*j**c + 0*j = 0. Calculate j.
0, 1
Let x(s) = 6*s**3 + 101*s**2 - 80*s - 55. Let n(o) = -2*o**3 - 50*o**2 + 40*o + 28. Let f(v) = 7*n(v) + 4*x(v). Determine i so that f(i) = 0.
-6, -2/5, 1
Let b(z) = -2*z**4 + 18*z**3 - 18*z**2 + 22*z - 4. Let c(a) = -a**3 - a. Let y = 21 - 22. Let j(g) = y*b(g) - 8*c(g). Factor j(x).
2*(x - 2)*(x - 1)**3
Let q be (-1)/5 - (-160)/50. Factor 5*x**2 - x**2 + 16*x + 4*x**2 + 0*x**2 - 2*x**4 - 4*x**q.
-2*x*(x - 2)*(x + 2)**2
Let u = -338 - -13521/40. Let r(m) be the third derivative of 0*m + 0*m**3 + 0 - 4*m**2 + 0*m**4 - u*m**6 - 3/112*m**8 + 1/14*m**7 - 1/20*m**5. Factor r(d).
-3*d**2*(d - 1)**2*(3*d + 1)
Let o(f) be the third derivative of f**7/70 + f**6/10 - 11*f**5/20 + 3*f**4/4 - 21*f**2. Let o(i) = 0. Calculate i.
-6, 0, 1
Let h be ((6/21)/((-720)/117264))/((-2)/10). Find b, given that -64/3 + 448/3*b + 6*b**5 - 64*b**4 + h*b**3 - 980/3*b**2 = 0.
1/3, 2, 4
Let m(z) be the first derivative of -z**3/33 + 103*z**2/22 - 737. Factor m(f).
-f*(f - 103)/11
Let x(z) be the first derivative of -z**3/15 - z**2/2 - 6*z/5 + 45. Factor x(j).
-(j + 2)*(j + 3)/5
Solve 0 + 20/9*o**2 + 32/9*o + 2/9*o**3 = 0.
-8, -2, 0
Let i(h) be the first derivative of 9 - 1/2*h**4 + h**2 - 2*h + 2/3*h**3. What is w in i(w) = 0?
-1, 1
Determine r so that -3*r + 23*r - 13*r**2 - 11*r**2 + 100 + 36*r**2 - 11*r**2 = 0.
-10
Let m(k) be the first derivative of -k**6/5 + 4*k**5/25 + k**4/10 + 88. Find v such that m(v) = 0.
-1/3, 0, 1
Let x(m) = m**2 - 31*m - 98. Let q be x(34). Let n(c) be the second derivative of -6*c + 0 + 0*c**2 + 1/90*c**6 + 0*c**3 + 1/60*c**5 + 0*c**q. Factor n(s).
s**3*(s + 1)/3
Determine b so that -48/7*b - 288/7 - 2/7*b**2 = 0.
-12
Let n = -25 + 27. Solve 23*c**4 - 40*c**3 - 21*c**4 - 36*c**4 - 8*c**n - 16*c**4 = 0 for c.
-2/5, 0
Factor 16/5*x + 3/5*x**2 + 12/5 - 1/5*x**3.
-(x - 6)*(x + 1)*(x + 2)/5
Let b(x) = -10*x**4 + 68*x**3 + 28*x**2 + 2*x + 2. Let a(y) = 40*y**4 - 273*y**3 - 112*y**2 - 9*y - 9. Let j(h) = -2*a(h) - 9*b(h). Solve j(m) = 0.
-2/5, 0, 7
Suppose -4 - 14 = -6*z. Factor 3568*m**z - 104*m**2 + 1372*m**5 - 5292*m**4 + 55*m - 936*m**2 + 296*m**3 + 41*m.
4*m*(m - 3)*(7*m - 2)**3
Suppose -12/7*r**2 + 8/7*r + 8/7*r**3 - 2/7 - 2/7*r**4 = 0. Calculate r.
1
Let d(b) be the third derivative of 0 - 1/100*b**5 + 0*b + 0*b**3 - 11*b**2 + 3/40*b**4. What is t in d(t) = 0?
0, 3
Let k(q) be the first derivative of -3*q**4/20 - 8*q**3/15 - 3*q**2/10 + 2*q/5 - 54. Factor k(m).
-(m + 1)*(m + 2)*(3*m - 1)/5
Let w(v) = 3*v**3 - 9*v**2. Let s be 6/(-4)*(-8 - -4). Let z(t) = 28*t**3 - 15*t**3 - 5*t**3 + 8*t**2 - 11*t**3. Let b(l) = s*z(l) + 5*w(l). Factor b(m).
-3*m**2*(m - 1)
Let z(q) be the first derivative of q**3 - 57*q**2/2 - 100. Factor z(n).
3*n*(n - 19)
Let q(i) = -4*i**3 + 33*i + 39. Let d(x) = -2*x**3 + 16*x + 18. Let a(n) = -5*d(n) + 2*q(n). Determine j, given that a(j) = 0.
-2, -1, 3
Let r(y) be the third derivative of -1/30*y**5 + 1/8*y**4 - 4*y**2 + 0*y - 4 - 1/6*y**3. Factor r(s).
-(s - 1)*(2*s - 1)
Let v(i) = 5*i**4 - 65*i**3 + 155*i**2 - 95*i - 5. Let p(f) = 5*f**4 - 65*f**3 + 156*f**2 - 96*f - 4. Let s(n) = -5*p(n) + 4*v(n). Factor s(b).
-5*b*(b - 10)*(b - 2)*(b - 1)
Let x(j) = j**4 - j - 3*j**3 - j**2 - j**3 + 3*j**3 - 1. Let a(g) = -g**4 - 7*g**3 + 2*g**2 + 2*g - 2. Let m(h) = a(h) - 2*x(h). Factor m(f).
-f*(f - 1)*(f + 2)*(3*f + 2)
Let 9/4*c**3 - 9/2 - 33/4*c + 3/4*c**4 - 9/4*c**2 = 0. Calculate c.
-3, -1, 2
Let v = -1004 + 1006. Determine i so that 2/3*i**4 + 1/3*i - i**3 + 0*i**v + 0 = 0.
-1/2, 0, 1
Suppose 8 = -k + 3*k. Let y be 1/k - ((-1)/20)/(-1). Determine n so that 4/5*n**2 + 4/5*n + y = 0.
-1/2
Let b(k) be the first derivative of k**6/3 - 12*k**5/5 + 2*k**4 + 4*k**3 - 5*k**2 - 163. Determine q, given that b(q) = 0.
-1, 0, 1, 5
Suppose 15*t + 3*t + 25 + 5*t**3 - 13*t**2 + 15 - 12*t**2 - 8*t = 0. What is t?
-1, 2, 4
Let o(w) be the third derivative of w**7/840 - 5*w**6/48 + 187*w**5/60 - 121*w**4/4 + 8*w**2 - 6. Factor o(x).
x*(x - 22)**2*(x - 6)/4
Let h(f) be the third derivative of f**5/15 + f**4/3 + 2*f**3/3 - f**2 - 3. Suppose h(r) = 0. Calculate r.
-1
Let g(a) be the first derivative of a**4/18 - 2*a**3/3 - a**2/9 + 2*a - 278. Let g(o) = 0. What is o?
-1, 1, 9
Let n(b) = 60*b**3 + 645*b**2 - 830*b + 125. Let p(f) = 30*f**3 + 322*f**2 - 415*f + 63. Let c(u) = -3*n(u) + 5*p(u). Find y, given that c(y) = 0.
-12, 1/6, 1
Let f(x) = 2*x - 3. Let p be f(3). Suppose p*j - 15 + 3 = 0. Factor -2*v**5 - v**j - 3*v**4 - v**5 - v + 2*v**5 - 6*v**3 - 4*v**2.
-v*(v + 1)**4
Let n = -6 - -11. Suppose 7*z - n*z = 4. Factor 14*q**5 + 2*q**4 + z - 16*q**5 - 2.
-2*q**4*(q - 1)
Let l(r) = r**3 + 3*r**2 - 3*r - 3. Let n be l(-3). Let p(m) = -m**2 - 9. Let j(w) = 3*w**2 - w + 27. Let v(x) = n*j(x) + 17*p(x). Let v(u) = 0. Calculate u.
3
Let n 