*m - 4. Factor y**4 - 2*y**4 + j*y**p + y**4 + y**2 + 3*y**3 + y**5.
y**2*(y + 1)**3
Let g(u) be the first derivative of -3*u**4/4 - 3*u**3 + 3*u**2/2 + 9*u + 21. Factor g(s).
-3*(s - 1)*(s + 1)*(s + 3)
Let v = 8 - 8. Suppose s = -t, v = -5*t - 2*s - 14 - 1. Let o(w) = -w**2 + 9*w - 12. Let p(r) = 2*r**2 - 17*r + 23. Let d(u) = t*o(u) - 3*p(u). Factor d(g).
-(g - 3)**2
Let u be ((-56)/(-7) - 4) + 0/2. Let f be 1/((-95)/(-15) - u). Factor 3/7*g**5 + 0*g - f*g**2 + 0 + 3/7*g**4 - 3/7*g**3.
3*g**2*(g - 1)*(g + 1)**2/7
Factor -1/4*s**2 + s - 3/4.
-(s - 3)*(s - 1)/4
Let d(t) be the third derivative of 1/60*t**6 + 0 - 19*t**2 + 4/3*t**3 + 0*t**4 + 0*t - 1/10*t**5. Solve d(o) = 0 for o.
-1, 2
Let q(u) be the first derivative of u**4/66 - u**3/33 - 6*u**2/11 + 19*u - 7. Let j(p) be the first derivative of q(p). Determine y so that j(y) = 0.
-2, 3
Let z = -781 + 781. Let w(v) be the third derivative of 0 + 1/96*v**6 + 0*v**3 + 8*v**2 + 1/30*v**5 + z*v + 1/24*v**4 + 1/840*v**7. Factor w(p).
p*(p + 1)*(p + 2)**2/4
Let -2/3*v**3 - 40/3 - 6*v**2 - 16*v = 0. What is v?
-5, -2
Let c(u) = 4*u**3 + 11*u**2 + 13*u - 13. Let m(a) = -2*a**3 - 6*a**2 - 6*a + 6. Let x(d) = -6*c(d) - 13*m(d). Let x(v) = 0. What is v?
-6, 0
Let v = 160 + -58. Let b = -713/7 + v. Determine m, given that 2/7 + 5/7*m + b*m**3 + 4/7*m**2 = 0.
-2, -1
Suppose -4*c - 10 = -2*o + 34, -c + 70 = 4*o. Let a be (-2)/(-4) + (5 - 75/o). Solve -16/3*i - 8*i**2 - 16/3*i**3 - 4/3 - a*i**4 = 0.
-1
Let v(x) be the third derivative of -x**8/5040 - x**7/1260 + x**5/60 + 6*x**2. Let q(k) be the third derivative of v(k). Factor q(c).
-4*c*(c + 1)
Let b(o) = 28*o**2 + 47*o - 91. Let r(l) = 5*l**2 + l + 1. Let t(p) = -b(p) + 5*r(p). Solve t(v) = 0 for v.
-16, 2
Let n(c) be the first derivative of -c**4 + 4*c**3 + 12*c**2 - 32*c + 7. Let n(d) = 0. What is d?
-2, 1, 4
Let r(c) be the first derivative of -c**5/80 + c**4/24 - c**3/24 + 2*c + 3. Let d(w) be the first derivative of r(w). Determine b so that d(b) = 0.
0, 1
Let v(r) be the second derivative of 11*r**6/3 - r**5/4 + 2*r - 15. Factor v(c).
5*c**3*(22*c - 1)
Let c(z) be the third derivative of -z**5/4 + 11*z**4 + 18*z**3 + 184*z**2 + 2*z. Solve c(b) = 0 for b.
-2/5, 18
Suppose -8 = -2*b - 2. Let a be 597/(-24) + 25 - ((-279)/(-24))/(-3). Find p, given that 0*p**a - 4/3*p**b + 1/3*p**5 + 2/3 - 2/3*p**2 + p = 0.
-1, 1, 2
Let u(m) be the first derivative of 2*m**3/51 - 71*m**2/17 + 140*m/17 + 118. Determine z so that u(z) = 0.
1, 70
Let q = -8296792881/5596316 - -3/508756. Let h = q + 1484. Factor -h*m + 6/11*m**3 - 2/11*m**2 - 8/11.
2*(m - 2)*(m + 1)*(3*m + 2)/11
Find v such that -28 + 33*v**2 + 6366*v**3 - 6363*v**3 + 72*v - 80 = 0.
-6, 1
Let g(k) be the second derivative of k**4/30 - 19*k**3/15 - 38*k + 2. Determine r, given that g(r) = 0.
0, 19
Let h = -259481/7 - -36916. Let s = h + 153. Determine o, given that -s*o**2 - 6/7 - 8/7*o = 0.
-3, -1
Let g be (35/10 + -4)*-2*3. Suppose -25*u**g - 36*u**3 - 2*u**4 - 3*u**4 - 15*u**5 + 71*u**3 = 0. Calculate u.
-1, 0, 2/3
Let g(t) be the first derivative of -2 - 1/12*t**2 + 0*t + 1/18*t**3. Suppose g(a) = 0. What is a?
0, 1
Factor -2916 + 216*b**2 - 13*b**3 - 972*b + 1/4*b**4.
(b - 18)**3*(b + 2)/4
Suppose 8 = u + 3*u + 2*m, -7 = u + 5*m. Let f(s) be the first derivative of -12*s**2 + 1 - 12*s - 5*s**u - 3/4*s**4. Determine x so that f(x) = 0.
-2, -1
Let j be (-2)/(-9) - 745/585. Let d = -5/13 - j. What is n in -10/3*n**3 + 0 - 2*n**4 + 8/3*n**5 + d*n + 2*n**2 = 0?
-1, -1/4, 0, 1
Suppose -3*y + 12 = 3, -z - y + 5 = 0. Let t be 5 + (3 + 11/((-44)/12))*-1. Solve -32/15*k - 38/15*k**3 - 14/15*k**4 - 8/15 - 10/3*k**z - 2/15*k**t = 0.
-2, -1
Let d be -1 - (1/2 - (-5)/((-10)/7)). What is m in 4/7*m**3 + 16/7*m + 6/7 + 2*m**d = 0?
-3/2, -1
Suppose -380 = -5*y + 120. Let m = y - 97. Determine f so that -2/5 + 0*f**2 + 1/5*f**m - 3/5*f = 0.
-1, 2
Factor 2/9*k**2 + 0 - 26/9*k**4 - 4/9*k + 10/9*k**5 + 2*k**3.
2*k*(k - 1)**3*(5*k + 2)/9
Let b(s) = 4*s + 11. Let w be b(-3). Let x be 508/(-112)*w - (-8)/(-28). Let 8*i - 77/4*i**4 + 1 + x*i**3 + 73/4*i**2 - 49/4*i**5 = 0. What is i?
-1, -2/7, 1
Let d = -1 - -7. Let s be ((-1)/(-1) + 3)/1. Let 0*u**3 - d*u**4 + u**5 + s*u**3 + 0*u**3 + 2*u**4 = 0. Calculate u.
0, 2
Suppose 0 = 239*c - 275*c. Let h(k) be the second derivative of c - 10*k + 1/6*k**4 + k**2 + 2/3*k**3. Factor h(m).
2*(m + 1)**2
Let r(a) be the first derivative of -a - 5 - 1/80*a**5 + 1/48*a**4 + 0*a**2 + 0*a**3. Let o(w) be the first derivative of r(w). Find n such that o(n) = 0.
0, 1
Let z be (-3)/15 + 707/35. Let d be (6 - -6)*z/6. Factor -20*c**2 - 6 + 2 + 24*c - 8*c**3 - d*c.
-4*(c + 1)**2*(2*c + 1)
Let 0 - 12/7*a**3 + 15/7*a**2 - 6/7*a + 3/7*a**4 = 0. Calculate a.
0, 1, 2
Let t be (-20)/35 - 30/(-28). Let f be (4/(-76)*-19)/((-2)/(-4)). Determine u so that 1/2*u**f - 1/2*u - 1/2 + t*u**3 = 0.
-1, 1
Let w = 40 - 20. Let r be ((-9)/6 + 1)*-4. Factor 2*y - 16 - w + 36 - 2*y**r.
-2*y*(y - 1)
Let t(l) be the third derivative of -l**8/504 - 2*l**7/63 - 29*l**6/180 - 16*l**5/45 - l**4/3 - 913*l**2. What is c in t(c) = 0?
-6, -2, -1, 0
Let q(h) = -h**2 - 109*h - 1162. Let s be q(-97). Suppose -2 + 0*p + 1/2*p**s = 0. Calculate p.
-2, 2
Find k such that -260/3*k - 50/3*k**2 + 20*k**5 - 295/3*k**4 + 40 + 425/3*k**3 = 0.
-3/4, 2/3, 1, 2
Let w(h) be the third derivative of h**5/30 + 40*h**4/3 + 6400*h**3/3 - 130*h**2. Factor w(c).
2*(c + 80)**2
Suppose -2*t + 7 = -2*g + 3*g, 3 = 3*g - 3*t. What is q in 5*q**4 - 2 + 10*q**g + 7 - 10*q**2 - 5*q - 9*q**5 + 4*q**5 = 0?
-1, 1
Let s(l) be the third derivative of 12 - 1/780*l**6 + 0*l**3 + 4/195*l**5 - 4/39*l**4 - l**2 + 0*l. Factor s(j).
-2*j*(j - 4)**2/13
Let o(q) be the third derivative of q**8/20160 - q**7/2520 + q**5/90 + 13*q**4/12 + 2*q**2. Let d(r) be the second derivative of o(r). Factor d(g).
(g - 2)**2*(g + 1)/3
Let t(q) be the third derivative of -q**5/20 + 5*q**4/24 + q**3/6 + 3*q**2. Let k(r) = 4*r**2 - 6*r. Let f(z) = 3*k(z) + 2*t(z). Solve f(x) = 0.
1/3, 1
Suppose 5*f - 2*f = -30. Let y be (f/4)/((-7)/21). Factor y*q - 3*q**2 - 3.
-3*(q - 2)*(2*q - 1)/2
Suppose 809*w - 1270 = 174*w. Let 2/7*a**5 - 6/7*a**w + 2/7*a**3 + 0 - 4/7*a + 6/7*a**4 = 0. Calculate a.
-2, -1, 0, 1
Let z(p) be the second derivative of p**6/15 - 12*p**5/5 + 59*p**4/3 + 104*p**3 + 169*p**2 - 72*p. Solve z(v) = 0 for v.
-1, 13
Let a(w) be the second derivative of w**7/7560 + w**6/432 - w**4/4 - 26*w. Let f(h) be the third derivative of a(h). Find d, given that f(d) = 0.
-5, 0
Factor -2/9*x**4 - 200/9*x**2 - 40/9*x**3 + 0 + 0*x.
-2*x**2*(x + 10)**2/9
Let a(x) be the third derivative of x**6/30 - 14*x**5/15 - 16*x**4 + 960*x**3 - 985*x**2. Determine o, given that a(o) = 0.
-10, 12
Let n = -3022 + 3022. Let u = -3 - -5. Solve 8/3*l + 20/3*l**2 + n - 5/3*l**5 - u*l**3 - 17/3*l**4 = 0.
-2, -2/5, 0, 1
Let i be (-1)/15*(-36)/240. Let c(b) be the third derivative of -11*b**2 + 1/600*b**6 - 1/30*b**3 + 0 + 0*b + 1/40*b**4 - i*b**5. Factor c(s).
(s - 1)**3/5
Let k(v) = v**3 + 28*v**2 + 32*v - 64. Let c(b) = 6*b**3 + 140*b**2 + 160*b - 320. Let o(w) = 3*c(w) - 14*k(w). Factor o(z).
4*(z - 1)*(z + 4)**2
Let c(i) be the first derivative of 2/3*i**3 + 1/45*i**5 - 2/9*i**4 - 1/2*i**2 + 1 + 0*i. Let u(j) be the second derivative of c(j). Factor u(m).
4*(m - 3)*(m - 1)/3
Let y = -1607/2 + 805. Factor -2*o**2 + 2/3*o + 7/6*o**4 + 0 - y*o**3.
o*(o - 2)*(o + 1)*(7*o - 2)/6
Let g(b) be the first derivative of -7 - 30*b - 21/2*b**2 - b**3. Factor g(o).
-3*(o + 2)*(o + 5)
Suppose 66*u = 74*u. Let g be 3/(-6)*(-4 + 0). Factor 0 + u*z + 0*z**g + 1/3*z**3.
z**3/3
Solve 6/5*y**4 - 9/5*y**3 + 3/5*y**5 - 12/5*y + 0 - 24/5*y**2 = 0.
-2, -1, 0, 2
Let c be (8/10)/(2/5). Let x = 720 + -5037/7. Factor 0 - x*z**c + 0*z - 3/7*z**4 + 6/7*z**3.
-3*z**2*(z - 1)**2/7
Let d = -12205/3 + 4071. Factor -d*q - 4/3*q**2 - 4/3.
-4*(q + 1)**2/3
Let x(f) be the second derivative of 5 - 2*f - 1/2*f**4 + 9/4*f**5 + 3*f**2 - 15/2*f**3. Let x(y) = 0. What is y?
-1, 2/15, 1
Let h(b) = -24*b**3 - 72*b**2 - 50*b + 6. Let s(v) = v**3 + v**2 + 2*v - 2. Let a(z) = 2*h(z) + 12*s(z). Find f, given that a(f) = 0.
-3, -1/3
Let b(d) be the third derivative of d**7/70 - 7*d**6/40 + 3*d**5/5 + d**4/2 - 8*d**3 - 121*d**2. Factor b(i).
3*(i - 4)*(i - 2