-3)*(-31)/(-124))/(2/(-5)). Let n(p) be the first derivative of -10/3*p**3 - 4*p**5 + 0*p + o*p**6 + 0*p**2 + 2 + 25/4*p**4. Factor n(y).
5*y**2*(y - 2)*(y - 1)**2
Let a(r) be the third derivative of -r**6/40 + 3*r**5/10 + 19*r**4/8 - 12*r**3 + 2131*r**2. Solve a(b) = 0 for b.
-3, 1, 8
Let c = -25224 - -25224. Let q(k) be the second derivative of c*k**2 + k**3 + 0 - 1/6*k**4 - 46*k. Let q(p) = 0. Calculate p.
0, 3
Factor 504*y + 81*y**2 - 98 + 1010 + 22*y**3 + 22*y**3 - 41*y**3.
3*(y + 4)**2*(y + 19)
Let z(u) = 8*u - 60. Let b be z(36). Factor -109*s**3 + 380*s + 200 + 2*s**4 + 2*s**4 + b*s**2 + 161*s**3.
4*(s + 1)*(s + 2)*(s + 5)**2
Let b(s) be the first derivative of 3*s**4/4 + 20*s**3 + 51*s**2/2 - 114*s + 646. Factor b(r).
3*(r - 1)*(r + 2)*(r + 19)
Let y(h) = h**3 + 5*h**2 - h - 1. Let r be y(-5). Suppose r*b - 152 = -5*f, -3*b + 5 = f - 21. Factor -36*n**3 - f - 93*n**2 - 59*n**2 - 189*n + 13*n.
-4*(n + 2)**2*(9*n + 2)
Let -81/5*l**2 + 294/5*l - 3*l**3 - 144/5 = 0. Calculate l.
-8, 3/5, 2
Let w(o) be the third derivative of -o**7/315 - 37*o**6/90 - 503*o**5/30 - 1295*o**4/9 - 4900*o**3/9 - 69*o**2 - 8. Factor w(v).
-2*(v + 2)**2*(v + 35)**2/3
Factor -115 + 883 - 3*r**2 - 1028*r + 1028*r + 204.
-3*(r - 18)*(r + 18)
Let g(f) = -f**4 + f**3 - f**2 + f + 2. Let c(u) = 10*u**4 - 20*u**3 + 26*u**2 + 62*u + 24. Let o(h) = -5*c(h) - 45*g(h). Factor o(x).
-5*(x - 7)*(x - 6)*(x + 1)**2
Find g such that 2646 - 1/4*g**4 + 315*g - 921/2*g**2 + 85/4*g**3 = 0.
-2, 3, 42
Let c = 394234 + -394234. Find a such that c*a**2 - 26/3*a**3 - 2/3*a**5 + 0*a - 28/3*a**4 + 0 = 0.
-13, -1, 0
Let y be (-4)/6*(1/(-2) + -1). Let w be (8/(-16))/(y/(2 + -44)). Determine b, given that -15*b**2 - 15*b**3 - 16*b**5 + 25*b**2 + w*b**5 = 0.
-2, 0, 1
Let m(d) be the second derivative of d**6/195 + 7*d**5/10 - 49*d**4/39 - 184*d**3/13 - 415*d + 1. Solve m(c) = 0 for c.
-92, -2, 0, 3
Factor -63*s**3 + 1537 + 67*s - 98*s**2 + 25*s**2 - 14*s**2 - 1549 + 5*s.
-3*(s + 2)*(3*s - 1)*(7*s - 2)
Let b = 516528 - 516526. Let 123*k - 88*k**b - 36 - 121/4*k**3 = 0. Calculate k.
-4, 6/11
Let v be 77605/7055*((-6)/(-3))/(1 - -5). Suppose v*w**3 - 11/3*w**2 + 1/3*w - w**4 + 2/3 = 0. Calculate w.
-1/3, 1, 2
Let k(c) be the third derivative of -c**6/90 - 398*c**5/45 + 799*c**4/18 - 800*c**3/9 - 512*c**2. Factor k(a).
-4*(a - 1)**2*(a + 400)/3
Suppose r - 21 = -2*u, 18*u - 23*u + 45 = 2*r. Suppose r = -5*m, -9 = 4*l + m - 14. Factor 2/3*w**l - 20/3*w + 6.
2*(w - 9)*(w - 1)/3
Let h(l) = -4*l**3 + l**2 + l. Let a(i) = 25*i**3 - 20*i**2 - 78*i. Let f(v) = a(v) + 6*h(v). Factor f(o).
o*(o - 18)*(o + 4)
Solve 166/5*v - 2/5*v**3 + 84/5 + 16*v**2 = 0 for v.
-1, 42
Let c(l) = 5*l**2 - 2*l. Let g be c(-3). Let -11*m**4 - 13*m**4 + 14*m**4 - g*m**2 + 81*m**3 - 2*m**4 - 8*m - 10*m = 0. Calculate m.
-1/4, 0, 1, 6
Suppose 0 = -3*s + 4*v + 2313, 3*v - v = -4*s + 3106. Let i = -771 + s. Factor -2/7*k**5 + 0*k**3 + 2/7*k + 4/7*k**i - 4/7*k**2 + 0.
-2*k*(k - 1)**3*(k + 1)/7
Let x = -9214/5 + 1846. Solve -8/5*l + 2/5*l**3 + 4/5*l**2 - x = 0 for l.
-2, 2
Let u(s) be the third derivative of -1/420*s**5 + 0 - s - 169/42*s**3 - 6*s**2 - 13/84*s**4. Let u(r) = 0. Calculate r.
-13
Let v(t) be the first derivative of 4/21*t**3 + 62 + 1/7*t**2 - 6/7*t. Factor v(u).
2*(u - 1)*(2*u + 3)/7
Let g(t) = 7*t**4 - 24*t**3 + 40*t**2 - 2. Let k(w) = w**4 + 3*w**3 - 1. Let y(o) = -g(o) + 2*k(o). Factor y(m).
-5*m**2*(m - 4)*(m - 2)
Let k(o) = -11*o**2 - 6*o - 11. Let f(w) = 12*w**2 + 6*w + 12. Let l(i) = 5*f(i) + 6*k(i). Let y(t) = 8*t**2 + 6*t + 7. Let m(z) = 3*l(z) + 2*y(z). Factor m(r).
-2*(r + 1)*(r + 2)
Let u(t) be the second derivative of -2*t**5/45 - 5*t**4/36 - t**3/6 - 41*t**2 - 9*t + 2. Let k(w) be the first derivative of u(w). Factor k(n).
-(2*n + 1)*(4*n + 3)/3
What is m in 40/7*m - 38/7 - 2/7*m**2 = 0?
1, 19
Let g be (114/(-95))/((-44)/(-100))*(-6)/(-1 - -4). Factor 2/11*y**2 - g - 2/11*y.
2*(y - 6)*(y + 5)/11
Factor 382*f**2 - 759*f**2 + 372*f**2 - 226845 + 2130*f.
-5*(f - 213)**2
Let o(b) be the second derivative of -b**6/75 + 21*b**5/50 - 2*b**4/3 + 2*b - 374. Solve o(p) = 0.
0, 1, 20
Let c be (-20)/(-5) + ((-13072)/190)/43. Find o, given that -2 - c*o + 2/5*o**4 + 8/5*o**2 + 12/5*o**3 = 0.
-5, -1, 1
Let j(r) be the first derivative of 0*r - 5*r**3 + 5/2*r**4 + 5/2*r**2 - 3. Factor j(d).
5*d*(d - 1)*(2*d - 1)
Let i(g) be the first derivative of 24*g + 0*g**4 - 41 + g**4 + 22*g**2 + 3 + 8*g**3 + 283. Solve i(c) = 0.
-3, -2, -1
Let l(s) = -2*s**3 - 17*s**2 - 6*s + 28. Let i be l(-8). Let r be (i/(-10))/(10 - (-735)/(-60)). Find b, given that r - 2/15*b**3 + 4/5*b**2 - 6/5*b = 0.
1, 4
Let u(f) = f**4 + 175*f**3 + 183*f**2 + 3*f. Let b(s) = 2*s**4 + 178*s**3 + 182*s**2 + 2*s. Let r(i) = -3*b(i) + 2*u(i). Factor r(o).
-4*o**2*(o + 1)*(o + 45)
Let o(k) be the first derivative of k**5/140 + k**4/42 + k**3/42 + 71*k - 39. Let r(l) be the first derivative of o(l). Suppose r(z) = 0. What is z?
-1, 0
Let x(j) be the second derivative of -8/21*j**4 - 2/35*j**5 - 2/3*j**3 + 2/147*j**7 + 4/105*j**6 - 4/7*j**2 + 0 + 68*j. Factor x(u).
4*(u - 2)*(u + 1)**4/7
Let h(d) be the second derivative of d**8/2240 - d**6/60 - d**4/12 - 65*d**3/6 + 17*d. Let f(m) be the third derivative of h(m). Determine j so that f(j) = 0.
-2, 0, 2
Let p = 633 - 630. Suppose 2553*n**3 - 11*n + 36*n + 19*n**2 - 2551*n**p + 8 = 0. What is n?
-8, -1, -1/2
Let p(c) be the first derivative of -33/4*c**4 + 0*c**2 - 3/5*c**5 + 9 + 0*c + 0*c**3. Determine r so that p(r) = 0.
-11, 0
Let g be -6*(7 + 570/(-72))*10. Let i be 2 + 5 - 385/g. Suppose i + 1/6*v**2 - 1/3*v = 0. Calculate v.
0, 2
Factor 0 + 26/7*f**3 + 440/7*f**2 - 34/7*f.
2*f*(f + 17)*(13*f - 1)/7
Suppose 0*k - 6564 = 12*k. Let h = 549 + k. Factor -3/2 - 9/4*q**h - 21/4*q.
-3*(q + 2)*(3*q + 1)/4
Let d(l) be the second derivative of l**6/24 - 3*l**5/4 - 35*l**4/8 - 55*l**3/6 - 59*l**2/2 + 75*l. Let q(a) be the first derivative of d(a). Factor q(v).
5*(v - 11)*(v + 1)**2
Let h(q) = -q**2 + 47*q - 240. Let i be h(6). Let z(k) be the first derivative of -7/5*k**5 + 1/3*k**i + 4/3*k**3 + 0*k**2 + k**4 + 0*k - 8. Factor z(m).
m**2*(m - 2)**2*(2*m + 1)
Suppose -s - 4*s + 2*x = -29, -x - 27 = -5*s. Factor -36 + 4*g - 34*g**2 + 35 - s*g + 35*g**2 + g**3.
(g - 1)*(g + 1)**2
Let m be 3 + 4 - (-29360)/56. Let g = -531 + m. Factor 4/7 - g*h - 4/7*h**2 + 2/7*h**3.
2*(h - 2)*(h - 1)*(h + 1)/7
Let m(u) be the third derivative of u**5/20 - 3*u**4/8 - 2*u**3 - 138*u**2. Find s, given that m(s) = 0.
-1, 4
Let f(x) = x**3 + 4*x**2 + 5*x + 72. Let p be f(-5). Suppose 36 = p*o - 8. Suppose 8/5 + 0*g - 2/5*g**5 + 6/5*g**4 - 14/5*g**o + 2/5*g**3 = 0. What is g?
-1, 1, 2
Let a(p) be the third derivative of p**9/35280 - 11*p**8/15680 - p**7/490 - 10*p**4 - 3*p**2 + 30. Let u(r) be the second derivative of a(r). Factor u(b).
3*b**2*(b - 12)*(b + 1)/7
Suppose -5*g + 9 = -126*z + 129*z, -4*g + 18 = -3*z. Let c(i) be the second derivative of -1/102*i**4 - 2/51*i**g - 7*i + 0 - 1/17*i**2. Factor c(m).
-2*(m + 1)**2/17
Let a(w) be the third derivative of w**7/350 + 11*w**6/10 + 6159*w**5/50 + 1199*w**4/2 + 11881*w**3/10 + w**2 + 1450. Factor a(f).
3*(f + 1)**2*(f + 109)**2/5
Suppose -3171 + 3171 = 38*o. Determine k, given that -3/7*k**4 + 9/7*k**2 + 0*k + o + 6/7*k**3 = 0.
-1, 0, 3
Let h(x) be the second derivative of -x**10/60480 - x**9/6048 - x**8/2240 + 9*x**4/4 + x**3/6 + 62*x. Let y(i) be the third derivative of h(i). Factor y(v).
-v**3*(v + 2)*(v + 3)/2
Let y(i) = -2*i**2 + 13*i - 20. Let k be y(5). Let d be (-2)/8*((k - 12) + 5). What is w in -24*w**d + 8*w**5 - 58*w**2 + 0*w**5 + 4*w + 68*w**2 + 2*w**4 = 0?
-2, -1/4, 0, 1
Let a(y) be the first derivative of y**4/24 + y**3/6 - 2*y**2 + 105*y + 23. Let g(k) be the first derivative of a(k). Factor g(h).
(h - 2)*(h + 4)/2
Let n(y) = -5*y**2 - 12*y - 76. Let i(z) = -7*z**2 - 15*z - 78. Let s(a) = 3*i(a) - 4*n(a). Factor s(l).
-(l - 10)*(l + 7)
Let d be 51/(-272)*-20 - 2/(-8). Let t(c) be the first derivative of d*c - 9 + 8/3*c**3 + 5*c**2 + 1/2*c**4. Factor t(u).
2*(u + 1)**2*(u + 2)
Let s(y) = y**3 - y + 1. Let w(v) = -42*v**3 - 104*v**2 + 102*v - 26. Suppose 16*g + 2 = -14. Let t(q) = g*w(q) - 10*s(q). Factor t(u).
4*(u + 4)*(2*u - 1)*(4*u - 1)
Suppose 8 + 118 = -3*g. Let y be 