 9*d**3/2 - 12*d. Let k(c) be the second derivative of v(c). Factor k(r).
-5*(r + 1)*(r + 4)*(3*r - 2)
Let l(b) be the second derivative of b**5/160 - 13*b**4/96 + 23*b**3/24 - 3*b**2 + 2*b - 57. Solve l(r) = 0 for r.
2, 3, 8
Let m(u) = -u**4 + u - 1. Let c(t) be the third derivative of -t**7/30 + t**5/5 + 7*t**4/8 + t**3/6 + 23*t**2. Let r(f) = -c(f) + 5*m(f). Factor r(w).
2*(w - 3)*(w + 1)**3
Let o(t) be the first derivative of -3*t**5/25 - 27*t**4/20 + 3*t**3/5 + 15*t**2/2 - 54*t/5 - 385. Let o(q) = 0. Calculate q.
-9, -2, 1
Factor 0 - 3/4*w**3 + 0*w**2 - 1/2*w**4 + 1/4*w.
-w*(w + 1)**2*(2*w - 1)/4
Let r(d) be the first derivative of d**6/6 - 18*d**5/5 - 5*d**4 + 6*d**3 + 19*d**2/2 - 548. Find p, given that r(p) = 0.
-1, 0, 1, 19
Let r(s) = -17*s + 70. Let f = -180 + 184. Let q be r(f). Factor -3/2*a + 6*a**4 + 0 - 3/2*a**5 - 9*a**3 + 6*a**q.
-3*a*(a - 1)**4/2
Let z(l) = l**3 - 11*l**2 - 60*l + 663. Let k be z(11). Solve 1/2 + 3/2*w**2 - 3/2*w - 1/2*w**k = 0 for w.
1
Let b(a) be the second derivative of a**6/150 + a**5/75 - 8*a**2 + 2*a. Let x(s) be the first derivative of b(s). Suppose x(n) = 0. Calculate n.
-1, 0
Let r = 6 + -1. Let j = -8 - -12. Factor -i**5 + 6*i**3 - j*i**5 + 2*i**3 - 5*i**r - 16*i**4.
-2*i**3*(i + 2)*(5*i - 2)
Suppose r - 952 = -6*r. Suppose 44 + r*t - 4*t**2 - 94*t - 82*t = 0. What is t?
-11, 1
Let m(g) be the second derivative of -38/3*g**3 - 7/3*g**4 + 0 + 12*g**2 + 34*g. Factor m(n).
-4*(n + 3)*(7*n - 2)
Let f = -46024 - -46026. Factor 2/9*v**f + 28/9*v + 98/9.
2*(v + 7)**2/9
Let j(f) be the third derivative of f**6/210 + f**5/105 - 2*f**4/21 - 8*f**3/21 - 71*f**2. Determine v, given that j(v) = 0.
-2, -1, 2
Let l(r) be the third derivative of 3*r**6/8 - 359*r**5/6 + 8900*r**4/3 + 8000*r**3/3 - 8*r**2 + 32*r. Factor l(t).
5*(t - 40)**2*(9*t + 2)
Let k = 798 - 1653/2. Let g = k - -29. Find s, given that -1/2 + s**2 + s**3 - 1/2*s - 1/2*s**4 - g*s**5 = 0.
-1, 1
Suppose 5*z + 347 = 3*l, 4*l - z - 294 - 163 = 0. Let s be 3/(-24) - l/(-16). Solve -36*h + 14*h**3 + s*h**3 - 18*h**2 - 24*h**3 - 24 = 0 for h.
-2
Factor 0*l**2 - 16*l**2 + 18*l**3 + 5*l + 189*l**4 - 98*l**4 - 99*l**4 + l**5.
l*(l - 5)*(l - 1)**3
Let z be 6 + -3 + 2 - 6. Let u be -8*(-1)/(-4)*z. Factor 0*t + 8/3*t**u + 162*t**4 + 0 + 243*t**5 + 36*t**3.
t**2*(9*t + 2)**3/3
Let z(v) be the second derivative of 4*v**6/15 - 391*v**5/70 + 226*v**4/7 + 11*v**3/3 - 14*v**2 - 91*v - 2. Find k, given that z(k) = 0.
-2/7, 1/4, 7
Solve -76*q + 2 + 475*q**3 + 6 - 249*q**3 + 194*q**2 - 81*q**4 - 271*q**3 = 0.
-2, 2/9, 1
Suppose w + 3*q = -2*w + 24, q + 7 = 2*w. Factor -3*h**2 + 7*h**3 - 2 - 12*h**3 - 9*h + w*h**2 + 14*h**3.
(h - 1)*(h + 1)*(9*h + 2)
Let j = -3338/160843 - -1180106989/728618790. Let u = j + 1/906. What is s in u + 8/5*s + 2/5*s**2 = 0?
-2
Determine v, given that -50 + 205/2*v - 55*v**2 + 5/2*v**3 = 0.
1, 20
Let u be 36/1377 - (84/54 - 2). Find r such that 2/17*r**2 + 8/17*r - 2/17*r**3 - u = 0.
-2, 1, 2
Let r(t) = -5*t**3 + 61*t**2 + 115*t - 33. Let g(q) = -6*q**3 + 58*q**2 + 114*q - 34. Let d(f) = 7*g(f) - 6*r(f). Factor d(i).
-4*(i - 5)*(i + 2)*(3*i - 1)
Let k(f) be the third derivative of 1/6*f**4 + 0*f + 0 - 1/300*f**6 + 1/150*f**5 + 29*f**2 + 8/15*f**3. Factor k(i).
-2*(i - 4)*(i + 1)*(i + 2)/5
Let r(t) be the first derivative of -t**4/12 - 22*t**3/9 - 70*t**2/3 - 200*t/3 + 523. Solve r(b) = 0.
-10, -2
Solve -1/3*i**5 - 2/3*i**3 + 0*i + i**4 + 0 + 0*i**2 = 0 for i.
0, 1, 2
Let r = 2569 - 2564. Suppose -1/3*l**4 - 7/3*l**3 + 0 - r*l**2 - 3*l = 0. Calculate l.
-3, -1, 0
Suppose 0 = -5*z + 29 + 146. Let i be ((-12)/(-35))/(5/z). Determine x, given that 2/5 + i*x**2 + 8/5*x**3 + 2/5*x**4 + 8/5*x = 0.
-1
Let p(y) = 12*y**3 - 9*y**2 + 3*y + 19. Let l(z) = -5*z**3 + 5*z**2 - z - 9. Let r(h) = -5*l(h) - 2*p(h). What is m in r(m) = 0?
-1, 1, 7
Let y(b) be the second derivative of 25/16*b**4 + 0 - 5/2*b**3 + 53*b + 3/2*b**2. What is c in y(c) = 0?
2/5
Let n(m) be the first derivative of m**9/756 - m**7/210 + 26*m**3/3 + 39. Let k(u) be the third derivative of n(u). Factor k(w).
4*w**3*(w - 1)*(w + 1)
Let i be (4 - 7) + 1*5. Factor -2 + i*y**2 + 6*y - 5*y + 0*y + 2*y**3 - 3*y.
2*(y - 1)*(y + 1)**2
Suppose -1 = -5*g + 5*y + 24, 0 = -g - 5*y - 13. Factor -5*z**g - 5*z + 0*z - 5*z**3 + 15*z.
-5*z*(z - 1)*(z + 2)
Suppose -34*q + 206 = -66. Find o, given that 4/3 + 4/3*o**4 - 16/3*o**3 + q*o**2 - 16/3*o = 0.
1
Let b = 286 - 286. Let g(q) be the second derivative of 0*q**2 + 2*q + 1/30*q**6 + 0*q**3 + 1/42*q**7 + 0*q**5 + b*q**4 + 0. Suppose g(i) = 0. Calculate i.
-1, 0
Factor -2/3*v**2 + 0 - 1/3*v**3 + 0*v + 1/3*v**4.
v**2*(v - 2)*(v + 1)/3
Suppose -368 + 380 = -6*z. Let h be (z - -2)*(-4)/(-12). What is v in -1/3*v**2 - v**3 + 0 - 1/3*v**5 + h*v - v**4 = 0?
-1, 0
Let f(q) = q**2 - q + 1. Let v(g) be the second derivative of -g**4/2 + 4*g**3/3 - 7*g**2/2 + 21*g. Let x(l) = 10*f(l) + 2*v(l). Factor x(o).
-2*(o - 2)*(o - 1)
Let r = 589 + -589. Let n(x) be the third derivative of -1/8*x**4 - 1/3*x**3 - 9*x**2 + r*x + 0 - 1/60*x**5. What is p in n(p) = 0?
-2, -1
Let g = -16553/12 - -1380. Let f(y) be the second derivative of -9*y - 1/2*y**2 + 0 + 3/40*y**5 - 1/12*y**4 - g*y**3. Factor f(x).
(x - 2)*(x + 1)*(3*x + 1)/2
Let b(j) be the second derivative of 5*j**7/21 - 19*j**6/6 + 11*j**5 - 15*j**4/4 - 15*j**3 - 4*j + 60. Determine v so that b(v) = 0.
-1/2, 0, 1, 3, 6
Let h(l) be the first derivative of 0*l + 1/21*l**6 + 3/7*l**4 + 8/35*l**5 - 1 + 1/7*l**2 + 8/21*l**3. Factor h(n).
2*n*(n + 1)**4/7
Let r be (-1 - -13)/3 + -2. Let m(w) = -3*w**3 - 9*w**2 - 3*w + 1. Let i(f) = f**2 - f - 1. Let b(l) = r*i(l) + m(l). Factor b(n).
-(n + 1)**2*(3*n + 1)
Let a be (5 + (-12)/3)*13. Let -4 + 7*b - 2*b**2 - a*b - 4*b - 4 = 0. Calculate b.
-4, -1
Let g(j) be the first derivative of 21 - 16/7*j + 2/7*j**2 + 2/21*j**3. Solve g(x) = 0.
-4, 2
Let t(n) be the second derivative of n**5/120 - n**3/12 - n**2/6 - 227*n. What is y in t(y) = 0?
-1, 2
Determine d, given that -11/3*d**2 + 5/3*d**5 + 7*d**3 + 2/3*d + 0 - 17/3*d**4 = 0.
0, 2/5, 1
Let u(h) be the first derivative of -10 + 3/8*h**2 - 3/16*h**4 + 0*h**3 + 0*h. Factor u(b).
-3*b*(b - 1)*(b + 1)/4
Let d(n) be the first derivative of 4*n**5/5 - 2*n**4 - 4*n**3/3 + 4*n**2 + 40. Factor d(b).
4*b*(b - 2)*(b - 1)*(b + 1)
Let f be 11*20/990 + (-212)/(-18). Suppose 0 = 6*w - 0*w - f. Solve 1/2*d**w - 2*d + 3/2 = 0 for d.
1, 3
Let v(d) = -4*d**2 - 4*d + 3. Let k(x) = -8*x**2 - 8*x + 5. Let n(c) = c**2 + 4*c - 5. Let h be n(0). Let g(p) = h*v(p) + 3*k(p). Let g(w) = 0. Calculate w.
-1, 0
Let o(p) = 4*p**2 - p. Let y(c) = -12*c**2 - 108*c + 208. Let q(m) = -4*o(m) - y(m). Factor q(d).
-4*(d - 26)*(d - 2)
Suppose -12*s + 1765 = -1745 + 3474. Find d, given that 0*d - 4/3*d**s + 0 + 8/3*d**2 = 0.
0, 2
Let m(o) = 146*o**2 + 22*o - 12. Let p(b) = 20*b**2 + 3*b - 2. Let y(x) = -6*m(x) + 44*p(x). Factor y(a).
4*(a - 2)*(a + 2)
Let u(g) be the third derivative of g**9/80640 - g**8/53760 - g**7/13440 - g**5/12 - g**2. Let a(m) be the third derivative of u(m). Factor a(w).
3*w*(w - 1)*(2*w + 1)/8
Let w be 16*2303/252*2/7. Let l = 42 - w. Factor 0 - 2/9*v**2 + 2/9*v + 2/9*v**4 - l*v**3.
2*v*(v - 1)**2*(v + 1)/9
Let h(p) be the first derivative of -p**3/3 - p**2 + 8*p - 88. Factor h(x).
-(x - 2)*(x + 4)
Suppose v - 3 = 2. Suppose 5*f - 20 = v. Factor -2*s - 7*s**3 + 0*s**3 + f*s**2 + 4*s.
-s*(s - 1)*(7*s + 2)
Factor 0*h + 0 - 2/5*h**4 + 8/5*h**3 - 8/5*h**2.
-2*h**2*(h - 2)**2/5
Let j(m) be the first derivative of 1/3*m**3 + 0*m + 1/2*m**2 + 10. Factor j(p).
p*(p + 1)
Suppose l + 0*x - 4*x + 10 = 0, 5*x - 15 = 0. Let -4*j - j**2 + 9*j**l - 8*j**3 + 2*j = 0. Calculate j.
0, 1/2
Let z(m) = -1. Let x(a) = 5*a**2 - 3*a - 3. Let j(c) = 2*c**2 - c - 1. Let w(b) = -7*j(b) + 3*x(b). Let d(y) = w(y) + z(y). Determine n, given that d(n) = 0.
-1, 3
Suppose 4*p - 2*t = 3*p + 8, -4*p - 3*t = -21. Let w(q) = -26*q**2 + 2*q + p*q - 16*q + q**3. Let o(u) = -9*u**2 - 3*u. Let b(k) = 8*o(k) - 3*w(k). Factor b(h).
-3*h**2*(h - 2)
Suppose -2*b + 3 - 9 = 0, -4*w - b = -21. Let s be -2 + 3 + (-1 - (-16)/w). Determine i so that 2/3*i**4 + 2/3 + s*i**3 + 4*i**2 + 8/3*i = 0.
-1
Suppose -32 + 8 - 355*d + 190*d - 4*d**2 + 193*d = 0. Calculate d.
1, 6
Suppose -2/3 + 4/9*h**3 - 8/