*d**4 - 13*d**2. Factor j(a).
(a + 4)**2/2
Suppose -8*t - 11 = -43. Let i(m) be the third derivative of -4/15*m**3 + 0*m - 1/10*m**t + 0 + 8*m**2 - 1/75*m**5. Factor i(n).
-4*(n + 1)*(n + 2)/5
Let d(u) be the third derivative of -u**5/20 - 5*u**4/4 - 196*u**2 + 2. Factor d(q).
-3*q*(q + 10)
Let w be (19 - 20)/((-1)/(-227)). Let j = -224 - w. Factor o**j + 0 - 7/4*o**2 + 3/4*o.
o*(o - 1)*(4*o - 3)/4
Let n(q) = q**2 - 28*q - 55. Let g be n(30). Let k(j) be the second derivative of 0*j**2 - 7/20*j**g + 0 + 1/3*j**3 - 5/12*j**4 + 4*j. Factor k(y).
-y*(y + 1)*(7*y - 2)
Suppose -3*c = 5*r - 5*c - 10, 0 = -2*r + 4*c - 12. Suppose -18*o**5 - r*o**3 + 31*o**5 + 14*o**2 + 2*o**3 - 11*o**5 - 6*o**4 - 8 = 0. Calculate o.
-1, 1, 2
Let f(v) be the first derivative of v**5/15 - v**4/3 - 7*v**3/9 + 17*v**2/3 - 8*v + 98. Find x such that f(x) = 0.
-3, 1, 2, 4
Factor -2*b**2 + 9*b + 21 + 6*b - 31 - 3*b**2.
-5*(b - 2)*(b - 1)
Let a = 30174 + -30172. Factor -q - q**3 - 2/3 + 8/3*q**a.
-(q - 2)*(q - 1)*(3*q + 1)/3
Let 2*o**2 - 22/7*o + 8/7*o**3 + 0 = 0. Calculate o.
-11/4, 0, 1
Let o(m) = -m + 1. Let n(u) = 5*u**2 + 155*u + 1285. Let x(h) = -n(h) + 5*o(h). Factor x(z).
-5*(z + 16)**2
Let r(f) = -1039*f - 4154. Let p be r(-4). Find m such that -4/3*m**p + 1/3*m - 1/3*m**3 + 4/3 = 0.
-4, -1, 1
Let a(r) = -r**2 - 2*r + 3. Let g be a(-3). Suppose 3*o + g = 36. Find z, given that -2 + 9*z + 3*z**3 - 1 + 3*z**2 - o*z**2 = 0.
1
Let n(b) = -6*b**4 + 8*b**3 + 38*b**2 + 60*b + 28. Let g(v) = -v**4 + v**3 + v + 1. Let i(f) = -4*g(f) + n(f). Factor i(t).
-2*(t - 6)*(t + 1)**2*(t + 2)
Let q(w) be the third derivative of -w**7/168 - w**6/120 + w**5/60 - w**3/3 - 18*w**2. Let v(x) be the first derivative of q(x). Factor v(s).
-s*(s + 1)*(5*s - 2)
Let y(f) be the first derivative of f**6/6 - 17*f**5/25 + 21*f**4/20 - 11*f**3/15 + f**2/5 - 22. Determine p so that y(p) = 0.
0, 2/5, 1
Let j(d) be the first derivative of 5*d**6/48 - 9*d**5/40 - d**4/16 + 5*d**3/12 - 3*d**2/16 - d/8 - 110. Factor j(y).
(y - 1)**3*(y + 1)*(5*y + 1)/8
Let x = 9 + -8. Suppose -12 = -5*s + k, -2*k - x = 3. Factor 3*j**2 + 6*j**3 + 7*j**4 + s*j**2 - 3*j**2 - j**4 + 2*j**5.
2*j**2*(j + 1)**3
Let c(u) be the first derivative of 2*u**3/3 + 4*u**2 + 6*u - 221. Factor c(l).
2*(l + 1)*(l + 3)
Let t(j) be the first derivative of -j**6/180 - j**5/45 - j**4/36 + 3*j**2/2 + 22. Let c(r) be the second derivative of t(r). Determine u, given that c(u) = 0.
-1, 0
Suppose 2*y + 24 - 2 = -4*j, -j - 55 = 5*y. Let x = -8 - y. What is b in 4 + 7*b**2 + 18*b + 24*b**2 + 6*b**x + 6*b**3 - 5*b**2 = 0?
-1, -2/3, -1/2
Let v(u) be the second derivative of 0 - 1/15*u**3 - 2*u**2 - 1/300*u**6 + 1/150*u**5 + 1/60*u**4 - 2*u. Let x(q) be the first derivative of v(q). Factor x(w).
-2*(w - 1)**2*(w + 1)/5
Let n be -1 - (-5 - (2 + 0)). Suppose -3*q + 5*q - n = 0. Solve 0*u**4 - 15*u**2 + 9*u**3 + q*u**4 + 9*u - 3*u - 3*u**5 = 0 for u.
-2, 0, 1
Factor 16/7*k**3 + 0 + 24/7*k + 38/7*k**2 + 2/7*k**4.
2*k*(k + 1)*(k + 3)*(k + 4)/7
Let z(s) be the third derivative of s**7/1260 - s**6/120 + s**4/3 - 6*s**2. Let j(n) be the second derivative of z(n). Factor j(q).
2*q*(q - 3)
Factor -166/3*l**2 + 32*l + 25/3*l**3 + 96 - 1/3*l**4.
-(l - 12)**2*(l - 2)*(l + 1)/3
Let a(s) be the third derivative of s**6/20 + 3*s**5/20 - 23*s**4/72 - 5*s**3/9 + 98*s**2. Determine n so that a(n) = 0.
-2, -1/3, 5/6
Let n(u) = 0*u - 2*u + 30 - 12. Let f be n(8). Suppose 2/3 - h**f + 1/3*h**4 + 1/3*h**3 - 1/3*h = 0. Calculate h.
-2, -1, 1
Let c(w) be the second derivative of w**6/10 - 15*w**4/4 + 5*w**3 + 36*w**2 + 92*w. Determine g so that c(g) = 0.
-4, -1, 2, 3
Suppose -5*v + 17 = -13. Let w(k) = k**3 - 8*k**2 + 12*k. Let r be w(v). Determine s so that r - 1/2*s**2 + 1/2*s = 0.
0, 1
Let t = -15634 + 15634. Find c, given that 2/5*c**2 + 22/5*c**3 + t*c + 0 = 0.
-1/11, 0
Let o(s) be the third derivative of -s**8/4032 + s**7/1008 + s**6/72 - 7*s**5/60 + 4*s**2. Let c(t) be the third derivative of o(t). Solve c(q) = 0.
-1, 2
Let a(z) be the first derivative of 5/2*z + 1/2*z**2 - 30 + 1/30*z**3. Factor a(q).
(q + 5)**2/10
Suppose 4*l**3 - 5*l**2 - 84*l**5 - 78*l**4 - 10*l**4 + 13*l**2 = 0. What is l?
-1, -1/3, 0, 2/7
Let o(j) = -2*j**3 + j**2 - 4*j - 3. Let x be o(-2). Find l, given that -4*l**2 + 34*l**2 + l**4 - 40 - 5*l + x*l - 6*l**4 - 5*l**3 = 0.
-2, 1, 2
Let b(h) be the second derivative of -3*h**5/10 + h**4/2 + 5*h**2/2 - 10*h. Let n(p) = -5*p**3 + 5*p**2 + 4. Let v(d) = 4*b(d) - 5*n(d). Factor v(q).
q**2*(q - 1)
Let y be -1 - 8/(-12) - (-74)/6. Suppose 10*x**4 + 4*x**4 + 2*x**5 - y*x**4 = 0. What is x?
-1, 0
Let w(p) be the first derivative of -5*p**7/14 + 5*p**6/6 - p**5/2 + 15*p - 13. Let v(a) be the first derivative of w(a). Solve v(j) = 0 for j.
0, 2/3, 1
Let s(i) = 15*i**4 - 42*i**3 - 23*i**2 + 28*i + 2. Let u(a) = a**3 - a**2 + a - 1. Let b(v) = -s(v) - 2*u(v). Factor b(n).
-5*n*(n - 3)*(n + 1)*(3*n - 2)
Factor -576/11*m**3 + 62208/11*m**2 - 2985984/11*m + 2/11*m**4 + 53747712/11.
2*(m - 72)**4/11
Let k = 0 - -14. Suppose -z = -3*z - 4*a - 4, -5*a = -2*z + k. What is x in -z*x**2 + 4 + x**2 + 5*x**2 - 8*x = 0?
1
Factor -1519*v + 3238*v - 10*v**3 + 115*v**2 + 65 - 1529*v.
-5*(v - 13)*(v + 1)*(2*v + 1)
Let h(o) be the third derivative of -o**6/240 + o**5/4 - 21*o**4/4 + 98*o**3/3 + 28*o**2 + 2*o. Factor h(j).
-(j - 14)**2*(j - 2)/2
Let j(o) be the first derivative of -3 + 0*o**2 - 2*o**3 - 1/720*o**6 + 0*o**5 + 0*o + 0*o**4. Let s(x) be the third derivative of j(x). Factor s(r).
-r**2/2
Suppose 3*w = -w + 1560. Suppose 2*h = -4*o + w + 366, -2*o - 5*h + 394 = 0. Factor -187 + o + 4*i**5 - 4*i**4.
4*i**4*(i - 1)
Suppose 80 = 16*x + 4*x. Let q(o) be the first derivative of 1/3*o**6 - 4/3*o**3 + 3 + 0*o**5 + 4*o + 3*o**2 - 2*o**x. Factor q(v).
2*(v - 2)*(v - 1)*(v + 1)**3
Factor 48*w**5 + 12*w**3 - 487*w**4 - 248*w**4 + 33*w**5 + 42*w**3.
3*w**3*(w - 9)*(27*w - 2)
Suppose 263*q = -113*q + 1022 - 270. Determine y so that -2/5*y**3 - 4/5*y**q + 0 + 6/5*y = 0.
-3, 0, 1
Suppose n = -5*z + 27, -5*z = -n + 4*n - 31. Factor 18/7 - 2/7*v**3 + n*v**2 - 30/7*v.
-2*(v - 3)**2*(v - 1)/7
Let o(p) be the third derivative of 2*p**7/105 + p**6/10 - p**5/3 - p**4/2 + 8*p**3/3 + 434*p**2. Factor o(f).
4*(f - 1)**2*(f + 1)*(f + 4)
Suppose 0 + 0*d + 1/6*d**2 + 1/6*d**3 = 0. Calculate d.
-1, 0
Let m be (6405/(-9))/(-5)*2/2. Let l = -142 + m. Factor 2/3*g**2 - l*g + 0 - 1/3*g**3.
-g*(g - 1)**2/3
Let c be ((-36)/(-10) + (-16)/(-40))*-20. Let b be 10/(-12)*c/300. Factor -4/9*g**2 + 4/9 + b*g - 2/9*g**3.
-2*(g - 1)*(g + 1)*(g + 2)/9
Find m such that 5/3*m**4 + 20/3*m**2 + 0 + 25/3*m**3 + 0*m = 0.
-4, -1, 0
Let o(q) be the first derivative of -q**5/20 - 7*q**4/8 - 49*q**3/12 - 104. Suppose o(y) = 0. What is y?
-7, 0
Let -82*i**2 - 18/5*i**4 - 32/5 - 192/5*i**3 - 212/5*i = 0. Calculate i.
-8, -2, -1/3
Determine g, given that 60/7*g - 64/7 + 4/7*g**2 = 0.
-16, 1
Let p be (-1*(-1)/(-1))/((-684)/456). Factor 4/3 - 2/3*x + p*x**3 - 4/3*x**2.
2*(x - 2)*(x - 1)*(x + 1)/3
Let u(a) be the second derivative of a**4/16 - 71*a**3/4 + 15123*a**2/8 - 318*a. Factor u(d).
3*(d - 71)**2/4
Let x(i) be the third derivative of i**6/120 - i**5/6 + 25*i**4/24 - 357*i**2. Determine p so that x(p) = 0.
0, 5
Let p(m) be the first derivative of -m**7/42 + m**6/8 - m**5/12 - 5*m**4/8 + 5*m**3/3 - 5*m**2/2 + 15. Let w(i) be the second derivative of p(i). Factor w(z).
-5*(z - 2)*(z - 1)**2*(z + 1)
Let f(l) be the second derivative of -l**5/60 + 7*l**4/18 - 10*l**3/3 + 12*l**2 - 5*l + 3. Suppose f(h) = 0. Calculate h.
2, 6
Let b(q) = 5*q**3 - 2*q**2 + 5*q. Let l(a) = 3*a**2 + a**3 + a - 2*a**2 - 2*a**2. Let z(x) = -b(x) + 4*l(x). Suppose z(m) = 0. Calculate m.
-1, 0
Let c(t) = t**3 + 9*t**2 - t - 5. Let o be c(-9). Let x be o/(-7) - (-256)/56. Let 0 + 3/4*u**x - 3/4*u + 9/4*u**2 - 9/4*u**3 = 0. Calculate u.
0, 1
Let w(c) be the third derivative of -c**10/151200 - c**9/25200 - c**4/24 + 4*c**3 - 31*c**2. Let s(p) be the second derivative of w(p). Factor s(z).
-z**4*(z + 3)/5
Suppose 55*d - 159 = 61. Solve 0*y**2 + 0 + 2/3*y**5 + 0*y**d + 0*y**3 + 0*y = 0 for y.
0
Let z(o) be the first derivative of -11*o**7/1890 + o**6/54 - 7*o**5/540 - o**4/108 + 5*o**2/2 + 2. Let y(w) be the second derivative of z(w). Factor y(n).