/40*t**6 + 0*t**5 + 0. Find s, given that j(s) = 0.
-2, 1
Let f(r) = 4*r**3 - r**2 - 3*r + 3. Let o(t) = 9*t**3 - 2*t**2 - 7*t + 7. Let d = 17 - 10. Let v(w) = d*f(w) - 3*o(w). Suppose v(k) = 0. What is k?
0, 1
Let d(u) be the second derivative of 1/6*u**6 + 0*u**2 + 5/12*u**4 + 5 + 0*u**3 + 2*u + 1/2*u**5. Suppose d(q) = 0. Calculate q.
-1, 0
Let q(d) be the second derivative of -3*d**5/140 + d**4/14 + 23*d**3/14 - 90*d**2/7 + 191*d. Suppose q(n) = 0. Calculate n.
-5, 3, 4
Factor 50/17*a**2 + 288/17 - 240/17*a.
2*(5*a - 12)**2/17
Let k(o) be the first derivative of o**4/60 + 2*o**3/15 + 3*o**2/10 + 32*o - 8. Let h(f) be the first derivative of k(f). Solve h(d) = 0 for d.
-3, -1
Let o(f) be the third derivative of 0*f + 0 - 1/2*f**4 + 1/10*f**5 + 2*f**2 + f**3 + 1/40*f**6. Let j(x) be the first derivative of o(x). What is k in j(k) = 0?
-2, 2/3
Let n(c) = 5*c**2 - 9*c + 6. Let s(d) = -8*d**2 + 17*d - 10. Let q(z) = 5*n(z) + 3*s(z). Let q(p) = 0. Calculate p.
-6, 0
Factor -15/4 - 13/4*d**2 - 29/4*d + 1/4*d**3.
(d - 15)*(d + 1)**2/4
Factor 1/2*j + 0 - 1/2*j**3 - 1/2*j**4 + 1/2*j**2.
-j*(j - 1)*(j + 1)**2/2
Let n = -5254/3 + 1754. Factor 16/3*b**4 - 1/3 - 5*b**2 - n*b + 8/3*b**3.
(b - 1)*(b + 1)*(4*b + 1)**2/3
Let y(z) be the second derivative of 2*z**7/21 + 4*z**6/15 + z**5/5 + 231*z. Find i, given that y(i) = 0.
-1, 0
Suppose 0 = -4*g, -6*q + 4*g - 475 = -q. Let h = 857/9 + q. Let 2/3*i + h*i**2 + 2/9*i**4 - 2/3*i**3 - 4/9 = 0. What is i?
-1, 1, 2
Let l(h) be the second derivative of 0*h**2 - 2/9*h**3 - 24*h + 0 - 1/5*h**5 - 2/45*h**6 - 1/3*h**4. Factor l(b).
-4*b*(b + 1)**3/3
Let j(r) = 2*r**2 - 8*r - 62. Let l(t) = -2*t + 18. Let a be l(5). Let h be j(a). Factor 2*w**3 + h*w**4 + 2/3*w**2 + 0 + 2/3*w**5 + 0*w.
2*w**2*(w + 1)**3/3
Factor -6*p + 2*p**2 - 6*p**2 - 2*p**2 + 3*p**2.
-3*p*(p + 2)
Let u(l) be the third derivative of l**7/105 - 17*l**6/20 - 9*l**5/5 + 26*l**4/3 - 149*l**2. Factor u(s).
2*s*(s - 52)*(s - 1)*(s + 2)
Let o(g) be the third derivative of g**7/1260 + g**6/90 + g**5/20 + g**4/12 - 12*g**2. Let h(n) be the second derivative of o(n). Factor h(v).
2*(v + 1)*(v + 3)
Suppose b = -4*n - 3*b + 12, 4*n = -5*b + 9. Factor 4*k**3 + 12*k**2 - n*k - 14*k + 0 - 4*k**4 + 8.
-4*(k - 1)**3*(k + 2)
Let z(l) be the second derivative of l**6/105 - 71*l**5/35 + 5041*l**4/42 - 2*l - 60. Factor z(y).
2*y**2*(y - 71)**2/7
Suppose -3*r = 3*r - 18. Factor 4*h**4 + 2*h**2 + h**2 - 11*h**r + h**5 + 3*h**2.
h**2*(h - 1)**2*(h + 6)
Find c such that 0 + 7/2*c**4 - 1/4*c**5 - 7/2*c**2 + 0*c + 1/4*c**3 = 0.
-1, 0, 1, 14
Let w = -164513/7 - -23503. Factor -22/7*v + 6/7*v**2 - w.
2*(v - 4)*(3*v + 1)/7
Suppose -f = 2*g - 14, -60 = -4*f + g - 5*g. Determine n, given that -5*n - n - 19 + 12*n**2 + 4*n**4 + 3 - 10*n + f*n**3 = 0.
-2, -1, 1
Find q, given that -24/11 - 174/11*q**3 - 18/11*q**2 + 104/11*q - 28/11*q**4 = 0.
-6, -1, 2/7, 1/2
Let o(d) be the first derivative of 3/38*d**4 + 0*d + 5 + 8/57*d**3 + 1/19*d**2. Find f such that o(f) = 0.
-1, -1/3, 0
Let n(o) be the third derivative of -o**8/144 - 13*o**7/315 - 13*o**6/360 + 17*o**5/90 + 5*o**4/18 - 4*o**3/9 - 2*o**2 + 2*o. Suppose n(k) = 0. What is k?
-2, -1, 2/7, 1
Let h(x) be the first derivative of x**6/36 - 2*x**5/15 - x**4/4 + 16*x**3/9 - 35*x**2/12 + 2*x - 40. Determine w so that h(w) = 0.
-3, 1, 4
Let x(z) be the third derivative of z**5/105 + z**4/42 - 112*z**2. Suppose x(l) = 0. Calculate l.
-1, 0
Let g = 9847 - 59081/6. Factor 1/3*h**3 - g*h**4 - 1/6*h**2 + 0 + 0*h.
-h**2*(h - 1)**2/6
Let y(k) = -k + 15. Let c be y(13). Let b be (c/(-4))/((-1)/4). Factor -2*l + 12*l**4 - 13*l**4 - 17*l**4 - 14*l**b - 30*l**3.
-2*l*(l + 1)*(3*l + 1)**2
Let u(t) = -32*t**2 - 62*t - 47. Let k(y) = -11*y**2 - 21*y - 16. Let w(r) = -17*k(r) + 6*u(r). Factor w(a).
-5*(a + 1)*(a + 2)
Let y(x) be the third derivative of 0 + 0*x**3 + 1/84*x**8 + 0*x**7 + 0*x + 0*x**4 + 0*x**5 - 1/30*x**6 - 13*x**2. Factor y(o).
4*o**3*(o - 1)*(o + 1)
Let l(s) be the first derivative of -s**6/3 - 134*s**5/15 - 11*s**4/3 - 127. Solve l(k) = 0.
-22, -1/3, 0
Suppose -11*k = -19*k + 248. Suppose 5*m + 6 - k = 0. Factor 1/2*t**4 + 1/2*t**3 + 0 - 1/2*t**2 - 1/2*t**m + 0*t.
-t**2*(t - 1)**2*(t + 1)/2
Let w(l) be the first derivative of -3*l**4/16 - 69*l**3/4 - 51*l**2/2 + 397. Factor w(p).
-3*p*(p + 1)*(p + 68)/4
Let p(j) = 7*j + 205. Let w be p(-25). Let v(a) be the first derivative of 2 + 8*a + w*a**2 + 122/3*a**3 - 49/5*a**5 + 21/4*a**4. Solve v(z) = 0 for z.
-1, -2/7, 2
Let o be 105/63 + -1 - (-4)/(-6). Let y(q) be the second derivative of -1/140*q**5 - 1/28*q**4 + 1/42*q**3 + 3/14*q**2 + 10*q + o. Solve y(z) = 0.
-3, -1, 1
Let b(l) be the first derivative of 3*l**5/4 + 10*l**4/3 + 5*l**3/2 - 5*l**2 - 39*l - 33. Let f(i) be the first derivative of b(i). Factor f(n).
5*(n + 1)*(n + 2)*(3*n - 1)
Let t(m) = -2*m**3 + 35*m**2 - 51*m + 50. Let x be t(16). Factor 2/3*h**x + 2/3*h**4 - 1/6*h**5 + 0 - 1/6*h - h**3.
-h*(h - 1)**4/6
Let c = 17 - 29. Let x be (6 - (-42)/c)*(-8)/(-10). Factor -2*a**2 - x*a - 2/3*a**3 - 2/3.
-2*(a + 1)**3/3
Let d be (-2 - 80/(-33))*(388 - 385). Find k such that -d + 16/11*k - 2/11*k**2 = 0.
1, 7
Let m(l) be the third derivative of l**8/168 + l**7/21 + l**6/60 - 13*l**5/30 - l**4/6 + 8*l**3/3 + 89*l**2. Let m(s) = 0. Calculate s.
-4, -2, -1, 1
Suppose 2*u - u - 7 = 0. Suppose 28 + u = 5*p - 4*a, 28 = p - 5*a. Find b, given that 4/3 + 4/3*b**2 - 8/3*b**p - 2/3*b**5 + 10/3*b - 8/3*b**4 = 0.
-2, -1, 1
Let b be ((-15)/10)/(((-399)/(-76))/(-2 - -1)). Factor -2/7*s**2 + 0*s**3 - 1/7*s**5 + 1/7*s + 0 + b*s**4.
-s*(s - 1)**3*(s + 1)/7
Let c be (-88)/504 + (-10)/(-35). Factor 1/9*t + 0 + 1/9*t**2 - c*t**3 - 1/9*t**4.
-t*(t - 1)*(t + 1)**2/9
Let r = 8 + -8. Let c be (-1 - (0 + r)) + 4. Let n(l) = -2*l**4 + l**3 - l**2 - 4*l. Let j(s) = -s**4 - s. Let b(x) = c*j(x) - n(x). Factor b(i).
-i*(i - 1)*(i + 1)**2
Let p be 756/28 - 19 - (-12)/(-2). Determine u so that 2/7*u - 2/7*u**p + 2/7 - 2/7*u**3 = 0.
-1, 1
Let n(p) be the first derivative of 250/19*p**5 + 33 + 400/19*p**3 - 500/19*p**4 - 160/19*p**2 + 32/19*p. Factor n(m).
2*(5*m - 2)**4/19
Suppose 0 = 5*o - 3*o - 4. Let d(j) = 6*j - 4. Let z be d(o). Let 2*g**2 - 4 + 4 + 8 + z*g = 0. Calculate g.
-2
Let l(w) = w**2 + 9*w - 50. Let b be l(-13). Let f(v) be the first derivative of 0*v**4 - 1/15*v**5 + 1/3*v**3 - 5 + 0*v - 1/3*v**b. Factor f(m).
-m*(m - 1)**2*(m + 2)/3
Suppose -3*u + 4*u - 4*u = 0. Let p be (u - (-7 + 1))*16/72. Solve 0 + 1/3*b**3 - 4/3*b**2 + p*b = 0 for b.
0, 2
Let r(l) = 5*l - 4. Let g be r(3). What is x in 7*x + 15*x**2 - g*x**2 + 5*x = 0?
-3, 0
Let i = 66 - 62. Suppose -g + i*h + 9 = 2, 0 = -2*g + 3*h + 9. Solve 18/7*s**2 - 18/7*s**4 + 2*s**5 - 10/7*s**g - 4/7*s + 0 = 0 for s.
-1, 0, 2/7, 1
Suppose -100*l + 283*l**3 + 19 + 118*l - 147 + 234*l - 287*l**3 - 120*l**2 = 0. Calculate l.
-32, 1
Let k = 32 + -46. Let g(j) = -7*j**2 + 13*j - 11. Let c(m) = -20*m**2 + 38*m - 32. Let a(d) = k*g(d) + 5*c(d). Factor a(r).
-2*(r - 3)*(r - 1)
Let i(t) be the third derivative of t**8/16800 + t**7/3150 - t**6/450 - 2*t**5/75 - t**4/6 - 25*t**2. Let r(n) be the second derivative of i(n). Factor r(c).
2*(c - 2)*(c + 2)**2/5
Let w(m) be the third derivative of -1/231*m**7 + 1/1848*m**8 + 0 - 21*m**2 + 0*m - 1/110*m**5 + 7/660*m**6 + 0*m**4 + 0*m**3. Suppose w(n) = 0. What is n?
0, 1, 3
Let w be 28/8 - (-4 - 36/(-8)). Factor -40*q - 36*q**2 - 82*q**3 - q**4 - 16 + w*q**2 + 72*q**3.
-(q + 1)**2*(q + 4)**2
Factor 3*p**2 - 108 - 63*p**2 + 5*p**3 - 3*p**3 + 7*p + 150*p + 9*p.
2*(p - 27)*(p - 2)*(p - 1)
Let g(b) be the first derivative of -b**4/7 + 10*b**3/21 + 4*b**2/7 - 6*b/7 - 35. Let g(r) = 0. What is r?
-1, 1/2, 3
Let o be (0 - 3) + (3 - 24). Let t = o + 29. Factor -n**5 + 2*n**3 - 3*n + 9*n**3 - t*n**3 - 2*n**5.
-3*n*(n - 1)**2*(n + 1)**2
Let d be 4 + (2 + 15/(-6))*2. Factor -2*v - v**2 - 3*v**3 + 2*v + 4*v**d.
v**2*(v - 1)
Let l = 366 + -76. Factor -l*i**2 + 144*i**2 - 2*i + 143*i**2 - i**3.
-i*(i + 1)*(i + 2)
Let u(b) be the first derivative of b**5/20 + 3*b**4/2 + 18*b**3 - 10*b**2 - 18. Let l(r) be the second derivative of u(r). Solve l(z) = 0 for z.
-6
Let k(z) = -5*z**2 - 2*z + 28. Let x(u) = -12*u**2 - 4*u + 57. Let n(w) = 5*k(w) - 2*x(w). Let h be n(4). Find v such that 