837. Determine c, given that -o*c**3 + 0*c + 0 + 0*c**2 - 1/3*c**5 + c**4 = 0.
0, 1, 2
Suppose -16*w = -29*w - 56*w + 276. Let 2*j + 0 + 4*j**2 - 2*j**5 - 27/2*j**3 + 19/2*j**w = 0. Calculate j.
-1/4, 0, 1, 2
Factor -40 - 14/5*z**2 + 704/5*z.
-2*(z - 50)*(7*z - 2)/5
Let c = 3481/2 - 10439/6. Factor 2/3*m**2 + c + 4/3*m.
2*(m + 1)**2/3
Let c(a) be the first derivative of -a**7/315 + a**6/75 + a**5/150 - a**4/30 - 31*a + 23. Let v(g) be the first derivative of c(g). Solve v(t) = 0 for t.
-1, 0, 1, 3
Let z(v) be the second derivative of -v**6/6 - 2*v**5 - 10*v**4 - 80*v**3/3 - 40*v**2 - 102*v. Find k such that z(k) = 0.
-2
Suppose -5*g + 21 = 2*g. Factor 267*w**2 - 267*w**2 - 4*w**5 + 4*w**g.
-4*w**3*(w - 1)*(w + 1)
Let h(c) be the first derivative of -c**6/12 + 7*c**4/4 - 2*c**3 - 13*c**2/4 + 6*c + 102. Find g, given that h(g) = 0.
-4, -1, 1, 3
Let i(t) be the first derivative of -t**7/42 + t**6/8 - t**5/6 + 47*t**2/2 - 40. Let u(x) be the second derivative of i(x). Factor u(g).
-5*g**2*(g - 2)*(g - 1)
Let p(n) = -n**3 + n**2. Let c(w) = 625*w**5 - 125*w**4 - 705*w**3 + 125*w**2 + 100*w - 20. Let g(b) = -c(b) - 20*p(b). Let g(h) = 0. Calculate h.
-1, -2/5, 1/5, 2/5, 1
Suppose -4*l - 4*v = 264, 3*l - 6*v + 2*v + 212 = 0. Let z = l - -70. Determine s so that -4/9*s**z + 0*s - 2/9*s**3 + 0 + 2/9*s**4 = 0.
-1, 0, 2
Let q(k) be the first derivative of -2/3*k**3 - k + 1/8*k**4 + 5/4*k**2 + 16. Find z, given that q(z) = 0.
1, 2
Let z(o) be the second derivative of -o**8/26880 - o**7/5040 + o**6/2880 + o**5/240 + 7*o**4/12 + 11*o. Let k(s) be the third derivative of z(s). Factor k(n).
-(n - 1)*(n + 1)*(n + 2)/4
Let c = 33 - 33. Let i(v) be the third derivative of -1/105*v**7 - 5*v**2 + c - 2/3*v**3 + 1/12*v**4 + 0*v + 1/10*v**5 - 1/60*v**6. Find z such that i(z) = 0.
-2, -1, 1
Suppose 446*w - 418*w = 56. Factor 1/4 + 1/4*d**w + 1/2*d.
(d + 1)**2/4
Let k(h) = h**3 + 15*h**2 + 60*h + 73. Let p(d) = d**2 + 1. Let j(r) = k(r) - p(r). Determine w, given that j(w) = 0.
-6, -2
Let w(n) = n**3 - n**2 + n. Let z = 21 - 28. Let k(u) = u**2 + 9*u + 11. Let c be k(z). Let q(m) = m**2. Let h(g) = c*q(g) - w(g). Determine d so that h(d) = 0.
-1, 0
Let p(c) be the third derivative of -c**8/336 + c**7/56 - c**6/24 + c**5/24 + 7*c**3/3 - 7*c**2. Let b(q) be the first derivative of p(q). Solve b(d) = 0.
0, 1
Let v(r) be the second derivative of -3*r**8/7840 + r**7/1764 + r**6/630 + 3*r**4/4 - 29*r. Let s(j) be the third derivative of v(j). Factor s(i).
-2*i*(i - 1)*(9*i + 4)/7
Suppose -6 = 2*f - 5*v, 5*f - 5*v = -3*v + 6. Factor -23 - 6*b**4 - 21*b**f + 21*b**3 + 6*b + 23.
-3*b*(b - 2)*(b - 1)*(2*b - 1)
Let c = -36690 + 36690. Factor 9/4*s**2 + 3/4*s + 3/2*s**3 + c.
3*s*(s + 1)*(2*s + 1)/4
Suppose 2*h - 94 = 4*u, -3*u - 2*u = -5*h + 130. Let w = 24 + u. Factor 12*t**2 - w*t + 12*t**4 - 6*t**5 - 18*t**3 - t**5 + 4*t**5.
-3*t*(t - 1)**4
Solve -37/5 - 1/5*f**3 - 7*f**2 + 73/5*f = 0 for f.
-37, 1
Let q(p) = 5*p**2 + 200*p + 3269. Let z(j) = -11*j**2 - 401*j - 6539. Let l(u) = 5*q(u) + 2*z(u). Factor l(h).
3*(h + 33)**2
Let f(d) be the third derivative of -d**6/90 - 13*d**5/45 - 8*d**4/3 - 8*d**3 + d**2 + 28*d. Let f(c) = 0. Calculate c.
-6, -1
Let m be ((-21)/(-112))/((-3)/2 - -3). Suppose 6*d - 2*d + 4*k = 28, -5*k + 25 = 0. What is c in 0*c + 0 + m*c**5 + 0*c**d + 0*c**3 + 1/4*c**4 = 0?
-2, 0
Suppose -9*q - g = -14*q - 2, 10 = -2*q + 5*g. Find j such that 0 + 0*j**2 + q*j**4 - 3/2*j**3 + 3/4*j + 3/4*j**5 = 0.
-1, 0, 1
Suppose 2*h + 1 = -3*s + 10, -2*s + 6 = 3*h. Let -2*l**4 + 2*l**4 + 2*l**4 - 2*l**2 + h*l**2 - l**3 + l**5 = 0. Calculate l.
-2, -1, 0, 1
Find f, given that -1523*f**2 + 25*f**4 + 2*f + 40*f**3 - 5*f**5 - 2*f + 1283*f**2 + 0*f = 0.
-3, 0, 4
Let p(u) be the second derivative of -u**5/20 + 2*u**4/9 - u**3/6 - u**2/3 + 21*u. Suppose p(i) = 0. What is i?
-1/3, 1, 2
Let u(s) be the second derivative of -23*s**4/6 + 44*s**3/3 + 4*s**2 - 6*s - 2. Factor u(d).
-2*(d - 2)*(23*d + 2)
Find s, given that 2/7*s**5 + 0 + 82/21*s**2 + 6/7*s**3 + 8/7*s - 34/21*s**4 = 0.
-1, -1/3, 0, 3, 4
Let x(j) = -2*j**4 + j**3 - j**2 - j. Let r(l) = -8*l**4 + 39*l**3 + 5*l**2 + 5*l. Let p(s) = -r(s) - 5*x(s). Factor p(g).
2*g**3*(9*g - 22)
Let w be 4 + 54/(-12) + 34/8. Let -5 - 5*l + w*l**2 = 0. Calculate l.
-2/3, 2
Suppose -37 = 24*q - 25*q. Factor 12*s + 5*s**2 - 9*s + 30*s + q*s + 245.
5*(s + 7)**2
Let r(n) = -9*n - 1. Let c be r(-1). Suppose -6*i = -8*i + c. What is a in 3*a**3 - i*a + a - 3*a**3 - 6*a**2 - 3*a**3 = 0?
-1, 0
Let a(r) = -r**2 + 3*r + 1. Let i be 2/4*-1*-4. Let j be a(i). Factor -2*h**3 + 3*h**3 - 4*h**j.
-3*h**3
Let a(c) = c**2 + 22*c + 2. Let z(d) = 3*d**2 + 64*d + 7. Let l(m) = -7*a(m) + 2*z(m). Let l(b) = 0. Calculate b.
-26, 0
Let m(k) be the third derivative of k**2 + 1/336*k**8 - 1/15*k**5 + 1/15*k**6 + 0 - 1/42*k**7 + 0*k**3 + 0*k**4 + 0*k. Let m(a) = 0. Calculate a.
0, 1, 2
Let y be (28/(-35))/(6/15). Let r be 6*(y/16)/(-1). Suppose -3/4*m**3 - 3/4 + 3/4*m + r*m**2 = 0. What is m?
-1, 1
Let h be -6 - -15 - 1190/130 - (-40)/91. Factor -2/7*w**3 - h*w**4 + 0*w + 0 + 4/7*w**2.
-2*w**2*(w - 1)*(w + 2)/7
Let i be 1*2 - (-9)/(-9). Let j be (-2 - i)*(-2)/3. Factor 2*f**2 + 2*f**5 + 0*f**5 - j*f**3 + 0*f**5 - 2*f**4.
2*f**2*(f - 1)**2*(f + 1)
Let x(j) be the third derivative of 0*j**3 - 1/56*j**8 - 27*j**2 + 0 + 0*j - 1/64*j**4 + 3/70*j**7 - 3/80*j**5 - 1/320*j**6. Factor x(v).
-3*v*(v - 1)**2*(4*v + 1)**2/8
Let q = 601/297 + -19/11. Let l(p) be the second derivative of 0 - 16/9*p**2 - q*p**3 - 1/54*p**4 - 7*p. Determine t, given that l(t) = 0.
-4
Let q(u) be the third derivative of u**5/30 - 5*u**4/6 + 811*u**2. What is s in q(s) = 0?
0, 10
Suppose 39*q - 4 = 38*q. Let g(l) be the second derivative of -1/70*l**5 + 0*l**2 - l + 0 - 1/21*l**q - 1/21*l**3. Factor g(a).
-2*a*(a + 1)**2/7
Let g(z) be the second derivative of -5*z**9/9072 - z**8/504 + z**6/108 + z**5/72 + 11*z**3/2 + 30*z. Let d(q) be the second derivative of g(q). Factor d(s).
-5*s*(s - 1)*(s + 1)**3/3
Suppose 3*m**2 + 2 + 11 + 26*m - 41*m + 5 = 0. Calculate m.
2, 3
Let t be (-4)/10*(-1365)/1092. Factor 1/2*k**3 + 0*k**2 - t*k + 0.
k*(k - 1)*(k + 1)/2
Let v = 171 - 179. Let z be (v/44)/(0 - 1). Determine c, given that 10/11*c**4 + 0 + 8/11*c**2 + 0*c - 16/11*c**3 - z*c**5 = 0.
0, 1, 2
Let h(d) be the third derivative of d**6/600 - 19*d**5/300 + 17*d**4/60 + 20*d**2 - 3. Determine f, given that h(f) = 0.
0, 2, 17
Let v(w) be the first derivative of -w**5 - 15*w**4/4 - 5*w**3/3 + 15*w**2/2 + 10*w - 110. Factor v(p).
-5*(p - 1)*(p + 1)**2*(p + 2)
Suppose -2*z = -3*z + 21. Let p(y) = -y**2 + 22*y - 19. Let g be p(z). Factor 0 + 0*a + 3*a**g + 27/2*a**4 - 33/2*a**3.
3*a**2*(a - 1)*(9*a - 2)/2
Let h be (-4)/((-3)/2 + 1/(-2)). Suppose -1 = -3*n + 10*a - 9*a, 14 = 2*n + h*a. Factor -2/3*x**4 + 0 + 0*x + 1/3*x**3 + 0*x**n + 1/3*x**5.
x**3*(x - 1)**2/3
Let n(w) be the first derivative of 1/16*w**4 + 0*w + 3/8*w**2 - 16 + 1/3*w**3. Factor n(k).
k*(k + 1)*(k + 3)/4
Let s(q) be the first derivative of 3*q**4/4 + 88*q**3/9 - 10*q**2/3 - 92. Find p, given that s(p) = 0.
-10, 0, 2/9
Let i be (-7 + 10)/(0 - -1). Let t be -1 - 2 - (0 - 3). Factor 3/5*l**4 + t*l + 0 + 6/5*l**2 + 9/5*l**i.
3*l**2*(l + 1)*(l + 2)/5
Find d such that -1470*d**3 - 324135*d - 1361367 - 30870*d**2 - 1/3*d**5 - 35*d**4 = 0.
-21
Let t be 70/(-14) - -12 - (5 + -2). Let p(b) be the first derivative of 104*b**2 - 5 + 280/3*b**3 - 49*b**t + 32*b. Factor p(x).
-4*(x - 2)*(7*x + 2)**2
Let n = 12 + -9. Let q(h) be the first derivative of 0 - h**2 + 2 + h**n - 1 + 2*h**2. Solve q(f) = 0 for f.
-2/3, 0
Let s(z) = -8*z**2 - 17*z - 7. Suppose 13*b - 8*b = -25. Let l(p) = 7*p**2 + 16*p + 8. Let g(j) = b*l(j) - 4*s(j). Factor g(w).
-3*(w + 2)**2
Let y be (56/(-21))/((-20)/15). Factor 2/9*j**y + 1/9*j + 1/9*j**3 + 0.
j*(j + 1)**2/9
Suppose 4*o - 20 = 29*l - 33*l, 3*o - 7 = l. Let s(u) be the first derivative of u**l + 1 + 1/3*u**3 + 0*u. Determine p so that s(p) = 0.
-2, 0
Let r be 0/(-2) - -1 - 569/(-19). Let q = -6164/209 + r. Factor 60/11*p**2 - 18/11*p**3 + q - 56/11*p.
-2*(p - 2)*(3*p - 2)**2/11
Determine y so that -3*y**2 + 27 + y**3 + 4*y**2 - 2*y**2 + 0*y**2 + 27*y + 10*y**2 = 0.
-3
Let m be (-47)/141 + (2/4)/(1/2). Suppose -m*b**2 - 2/3*b**3 + 2/3 + 