/3*c - 155/3*c**2 + 0 + 5/3*c**3 = 0. Calculate c.
0, 2, 29
Let h(j) = -j**3 + 75*j**2 + 76*j + 4. Let n be h(76). Determine m, given that 4/5*m**3 + 4/5*m**2 + 0 - 4/5*m**n - 4/5*m = 0.
-1, 0, 1
Let m(c) be the third derivative of -c**10/12960 - 5*c**9/36288 + c**8/6048 - c**5/5 + 11*c**2. Let y(f) be the third derivative of m(f). Factor y(u).
-5*u**2*(u + 1)*(7*u - 2)/3
Suppose 5*p - 8 - 7 = 0. Factor 6*l**5 + 9*l**3 - p*l**5 + 9*l**4 - 9*l + 9*l + 3*l**2.
3*l**2*(l + 1)**3
Let r(i) be the first derivative of -1/18*i**3 + 4 + 0*i**2 - 1/24*i**4 + 1/60*i**6 + 4*i + 1/60*i**5. Let o(f) be the first derivative of r(f). Factor o(b).
b*(b - 1)*(b + 1)*(3*b + 2)/6
Let x = -395 - -10664/27. Let s = 19/27 + x. Factor 2/3 + 4/3*h**2 - s*h**5 - 2*h**4 - 4/3*h**3 + 2*h.
-2*(h - 1)*(h + 1)**4/3
Let q(g) be the third derivative of g**5/105 + 19*g**4/14 + 16*g**3/3 + 226*g**2 - 3*g. Factor q(o).
4*(o + 1)*(o + 56)/7
Let j(n) = 3 + 0 - 2. Let b(f) = -4*f**4 - 43*f**2 + 65*f**2 + f - 26*f**2 + 3*f**3 - 7 + f**5 + 3*f**3. Let l(c) = -5*b(c) - 35*j(c). Factor l(o).
-5*o*(o - 1)**4
Find x, given that 1/2*x**2 - 11/2*x - 6 = 0.
-1, 12
Let r = -26 + 28. Suppose -4*h - 3*b = -19, 9 = 2*h + 3*b - r*b. Determine q, given that 6*q**3 + 2*q**4 - 14*q + 2*q**h - 3 + 8*q - q**4 = 0.
-1, 1
Let z(r) be the second derivative of r**7/168 + r**6/120 - 67*r. Factor z(u).
u**4*(u + 1)/4
Let t(c) = -c**3 + 2*c**2 + 11*c. Let w(p) = -6*p**3 + 19*p**2 + 49*p - 16. Let k(a) = -5*t(a) + w(a). What is z in k(z) = 0?
-1, 2, 8
Factor 357/5*c + 2601/10 + 49/10*c**2.
(7*c + 51)**2/10
Suppose 25/7*s - 24/7 - 1/7*s**2 = 0. What is s?
1, 24
Let a(v) = -3*v**2 - 785*v - 52286. Let j(c) = c**2 + 262*c + 17428. Let u(y) = -6*a(y) - 21*j(y). Determine n, given that u(n) = 0.
-132
Let v(o) be the third derivative of o**5/120 - 5*o**4/48 + 2*o**2 + 10. Factor v(h).
h*(h - 5)/2
Let u(j) = j + 1. Let c(p) be the first derivative of 4*p**3/3 - 69*p**2/2 + 251*p - 14. Let h(y) = c(y) + 5*u(y). Find z, given that h(z) = 0.
8
Let v = -53 - -27. Let k = -17 - v. Find a such that -73*a - k*a**3 + 67*a - 9*a**2 + 24*a**3 = 0.
-2/5, 0, 1
Let q(t) be the first derivative of t**4/16 - t**2/8 + 82. Factor q(c).
c*(c - 1)*(c + 1)/4
Factor 5*u**4 + 45037*u**3 - 45047*u**3 + u**5 + 4*u**5.
5*u**3*(u - 1)*(u + 2)
Let c(f) be the first derivative of -f**4/10 - 4*f**3/15 + f**2/5 + 4*f/5 + 60. Factor c(l).
-2*(l - 1)*(l + 1)*(l + 2)/5
Suppose -17*w + 36 = -11*w. Suppose -w*m**2 - 4*m - 65 + 65 + 10*m**3 = 0. Calculate m.
-2/5, 0, 1
Suppose -2*z + 5 + 11 = 0. Let b = -318 - -318. Solve -z*q**2 - 3 - 15 + b*q**2 + 6 - 28*q = 0.
-3, -1/2
Let q be (2 + (-8)/(-12))*108/272. Let 10/17*g**2 - q - 2/17*g**3 - 6/17*g = 0. Calculate g.
-1, 3
Let p(q) be the first derivative of -q**3/18 - 5*q**2/4 - 7*q/3 + 241. What is r in p(r) = 0?
-14, -1
Let r(q) be the second derivative of -q**4/24 + q**3/4 + 216*q. Determine p, given that r(p) = 0.
0, 3
Suppose -d = 4*d, -c + 4*d + 3 = 0. Factor 1016*w - 120*w**2 + 5*w**c - 2560 - 191*w + 135*w.
5*(w - 8)**3
Factor 846*p + 3*p**5 - 422*p - 424*p + 12*p**4 + 12*p**3.
3*p**3*(p + 2)**2
Let x(y) = 2*y**2 + y. Let a(b) = 10*b**2 - 66*b - 648. Let i(f) = -a(f) + 6*x(f). Determine t, given that i(t) = 0.
-18
Let f = 8 - -3. Suppose 3*k - f = l, -4*k - k - 15 = 5*l. Factor 3*d + 3 + 3/4*d**k.
3*(d + 2)**2/4
Let f(j) = 2. Let v(l) = -l**2 + 44*l - 478. Let s(d) = 3*f(d) - v(d). Factor s(z).
(z - 22)**2
Suppose 0*u - 4*u - 7 = -d, u - 11 = -4*d. Let i(r) = -r**2 + 7*r + 5. Let h be i(6). Factor 3 + h + 2 - 8*l + 4*l**2 - d*l**2.
(l - 4)**2
Let r(t) = t**2 - 61*t + 54. Let a(n) = n + 2. Let p(v) = 2*a(v) + r(v). Let p(s) = 0. Calculate s.
1, 58
Let q(x) = 15*x**3 - 206*x**2 + 409*x - 95. Let p(i) = -5*i**3 + 69*i**2 - 136*i + 30. Let l(f) = -19*p(f) - 6*q(f). Factor l(h).
5*h*(h - 13)*(h - 2)
Let m(l) = 0*l - 23 + 22*l**2 + l**2 + 0*l. Let v(w) = 4*w**2 - 4. Let d(b) = -6*m(b) + 34*v(b). Factor d(u).
-2*(u - 1)*(u + 1)
Let l(z) = -z**2 - 7*z - 8. Let h be l(-5). Determine c, given that -14*c**2 - 55*c**4 + 61*c**4 - 2*c**5 + 10 + h*c**3 - 2 = 0.
-1, 1, 2
Let d = 4752/7291 + 148165/306222. Let a = d + 1/138. Factor 0*w**2 - a*w - 4/7*w**4 + 4/7 + 8/7*w**3.
-4*(w - 1)**3*(w + 1)/7
Factor -6*g**4 + 8*g**3 - 16*g**3 + 42*g**5 - 43*g**5.
-g**3*(g + 2)*(g + 4)
Let d(a) be the second derivative of a**7/4620 - a**5/220 + a**4/66 + 3*a**3/2 - 18*a. Let i(q) be the second derivative of d(q). Determine x so that i(x) = 0.
-2, 1
Let k(l) be the third derivative of -l**5/140 + l**4/6 - 3*l**3/14 + 303*l**2. Determine t, given that k(t) = 0.
1/3, 9
Let b = -384 + 1154/3. Suppose 4/3*v + 5/6*v**4 - 1/6*v**2 - 7/6*v**3 - b - 1/6*v**5 = 0. Calculate v.
-1, 1, 2
Factor -4/3*m + 1/3*m**2 + 1.
(m - 3)*(m - 1)/3
Let 3*t**3 + 39*t**2 - 76*t + 455 - 7*t**2 - 415 + t**3 = 0. What is t?
-10, 1
Let h(p) be the first derivative of -2*p**6/3 - 8*p**5/5 + 19*p**4 - 112*p**3/3 + 24*p**2 + 450. Solve h(z) = 0.
-6, 0, 1, 2
Let g(v) be the first derivative of 7/12*v**4 + 10/3*v**2 + 35 + 1/15*v**5 + 2*v**3 + 8/3*v. Suppose g(u) = 0. Calculate u.
-2, -1
Let a(x) be the first derivative of 3*x**4/28 - 8*x**3/7 + 24*x**2/7 + 74. Solve a(j) = 0 for j.
0, 4
Let j(t) be the second derivative of -t**5/4 + 5*t**4/6 + 5*t**3/6 - 5*t**2 - 2*t - 40. Factor j(p).
-5*(p - 2)*(p - 1)*(p + 1)
Let f = -201/13 - -1044/65. Suppose 12/5*g**2 - 12/5 - f*g**3 + 3/5*g = 0. Calculate g.
-1, 1, 4
Let s(u) = u. Suppose 4*m - m = 27. Suppose -4*j - m = -1. Let h(g) = 2*g**2 + 2*g - 2. Let d(n) = j*s(n) + h(n). Factor d(l).
2*(l - 1)*(l + 1)
Let q(a) = 14 - 10 - 20*a - 36*a**2 - 37 - a**3 - 16*a. Let r be q(-35). Factor 2/13*o - 2/13*o**r + 4/13.
-2*(o - 2)*(o + 1)/13
Let r(q) be the first derivative of -q**7/630 - q**6/180 + q**5/180 + q**4/36 + 15*q**2/2 - 14. Let y(h) be the second derivative of r(h). Factor y(t).
-t*(t - 1)*(t + 1)*(t + 2)/3
Let a(y) = -y**3 + 7*y**2 - 3*y - 7. Let p be a(6). Let n(q) = -8*q**2 + 17*q + 2. Let z(v) = 3*v**2 - 6*v - 1. Let l(m) = p*z(m) + 4*n(m). Factor l(g).
(g - 1)*(g + 3)
Let b(z) be the first derivative of -7 - 1/2*z**4 + 0*z**2 + 2/5*z**5 - 4/3*z**3 + 0*z. Let b(f) = 0. What is f?
-1, 0, 2
Let -12/5*p**2 + 0 - 2*p - 2/5*p**3 = 0. Calculate p.
-5, -1, 0
Let o(f) be the first derivative of -38 + 0*f - 1/12*f**4 - 8/9*f**3 + 0*f**2. Find t, given that o(t) = 0.
-8, 0
Let p(d) be the third derivative of -d**7/210 + 7*d**6/120 - d**5/4 + 3*d**4/8 - 82*d**2. Suppose p(z) = 0. Calculate z.
0, 1, 3
Let z(g) = -g**4 + g**2 + g - 1. Let o(s) = 10*s**4 + 30*s**3 + 35*s**2 - 5*s + 5. Let m(y) = -o(y) - 5*z(y). Factor m(c).
-5*c**2*(c + 2)*(c + 4)
Factor -1036/3*b - 5/3*b**3 - 392/3 - 142/3*b**2.
-(b + 14)**2*(5*b + 2)/3
Let t(b) = -b**2 - b. Let y(m) = -15*m**2 + 21*m + 24. Let r(d) = -t(d) - y(d). Suppose r(w) = 0. Calculate w.
-3/4, 2
Let r be 6/4*(-19 + 23). Determine g so that -4*g**2 + 24*g - 32*g**2 - r + 2 = 0.
1/3
Let l(u) be the second derivative of u**5/10 + 2*u**4 + 12*u**3 - 12*u + 1. Factor l(n).
2*n*(n + 6)**2
Let n(j) be the third derivative of -1 - 1/140*j**8 - 26/75*j**5 + 0*j + 4/15*j**4 - j**2 + 0*j**3 - 8/525*j**7 + 1/6*j**6. Find b such that n(b) = 0.
-4, 0, 2/3, 1
Let o(j) = 26*j**2 + 26*j**3 + 0*j**4 - 6*j**4 - 3*j**4 - 9*j**5. Let a(u) = 3*u**5 + 3*u**4 - 9*u**3 - 9*u**2. Let v(w) = 17*a(w) + 6*o(w). Factor v(p).
-3*p**2*(p - 1)*(p + 1)**2
Let g be ((-113)/30 + 4)*4/56. Let p(h) be the third derivative of g*h**5 + 0 + 0*h**3 + 0*h + h**2 + 1/12*h**4. Factor p(r).
r*(r + 2)
Suppose -2*y - y - x + 14 = 0, 3*y + 6 = 3*x. Let a(w) be the first derivative of -y - 2/15*w**3 + 0*w**2 - 1/10*w**4 + 0*w. Determine p, given that a(p) = 0.
-1, 0
Find h, given that -40*h + 130*h**2 + 0*h - 80*h - 44*h**3 - h**3 + 370*h**4 - 365*h**4 = 0.
0, 2, 3, 4
Let u(n) be the first derivative of n**3/6 + 21*n**2/4 + 122. Suppose u(y) = 0. Calculate y.
-21, 0
Let q(d) = -2 + 18*d**2 + 3*d - 10*d**2 + 0 + 5*d. Let n(p) = -15*p**2 - 17*p + 3. Let l(x) = -2*n(x) - 5*q(x). Let l(b) = 0. What is b?
-1, 2/5
Let r be 3*1/15 - 14690/(-175). Let s = -84 + r. Factor -s*k**4 + 2/7*k + 0 + 0*k**3 + 3/7*k**2.
-k*(k - 2)*(k + 1)**2/7
Factor 32/5*v + 6/5*v**2 - 2/5*v**3 + 24/5.
-2*(v - 6)*(v + 1)*(v + 2)/5
Let v be (-4)/(-20) + 5/((-