 the third derivative of 0*s**3 + 0 - 9*s**2 - 1/200*s**w - 1/100*s**5 + 0*s**4 + 0*s. Factor t(n).
-3*n**2*(n + 1)/5
Factor 608/7 + 36/7*h**3 + 2416/7*h - 1432/7*h**2.
4*(h - 38)*(h - 2)*(9*h + 2)/7
Let f(s) be the third derivative of 0*s + 1/5*s**5 + 3*s**2 - 1/168*s**8 - 7/36*s**4 + 13/315*s**7 + 1/9*s**3 - 11/90*s**6 + 0. Factor f(k).
-2*(k - 1)**4*(3*k - 1)/3
Suppose 0 = f + f - 24. Factor 2*z**2 + 8*z - 3*z**2 + 4 + f + 2*z**2.
(z + 4)**2
Suppose -4*p + 2*z = -20, -3*p + p + 30 = 4*z. Let o = 6 + -3. Factor u**3 + 2*u**3 - p*u**3 + 0*u**o + 2*u**2.
-2*u**2*(2*u - 1)
Let y = 1064 - 5404/5. Let n = y + 17. Factor 0*o + 0 - 1/5*o**3 - n*o**2.
-o**2*(o + 1)/5
Let h(x) = 5*x**2 - 4 + 3 - 2 - 11*x - 1. Let s(n) = 5*n**2 - 10*n - 5. Let k(a) = -5*h(a) + 6*s(a). Factor k(r).
5*(r - 2)*(r + 1)
Let a be 13 + -6 + (-1677)/273. What is t in a + 5/7*t + 1/7*t**2 = 0?
-3, -2
Suppose -30*y - 16*y = 19*y - 3*y. Let y*q - 4/3*q**4 + 4/3*q**2 - 10/3*q**5 + 0 + 10/3*q**3 = 0. What is q?
-1, -2/5, 0, 1
Let n(a) be the first derivative of 2*a**5/25 - 3*a**4/5 + 53*a**3/30 - 51*a**2/20 + 9*a/5 + 27. Determine v, given that n(v) = 0.
1, 3/2, 2
Suppose -5*v - 2*j - 2*j + 64 = 0, 4*v - 3*j = 76. Suppose 16*a = 8*a + v. Factor -4/3*b + 2 + 2/9*b**a.
2*(b - 3)**2/9
Let v = -63/2 - -95/3. Factor v*j**2 - 1/2 + 1/3*j.
(j - 1)*(j + 3)/6
Let c(f) be the first derivative of 2*f**3/9 - 40*f**2/3 + 800*f/3 + 5. Factor c(x).
2*(x - 20)**2/3
Let b(f) be the first derivative of 9/28*f**4 - 9/14*f**2 + 1/7*f**3 - 6/7*f + 3/35*f**5 + 10. Factor b(r).
3*(r - 1)*(r + 1)**2*(r + 2)/7
What is c in -1029*c**5 + 287853*c**2 - 26869 + 105277 - 288684*c - 84834*c**2 - 184989*c**3 + 167691*c**2 + 25644*c**4 - 360*c**4 = 0?
6/7, 11
Let g = -12/179 + 227/716. Let r(b) be the first derivative of -6 - g*b**3 - 27/4*b + 9/4*b**2. Determine z, given that r(z) = 0.
3
Let n = -51/215 + 36/43. Let q(i) be the first derivative of -n*i**5 + i**3 - 6 - 3/4*i**4 + 1/2*i**6 + 0*i**2 + 0*i. Factor q(r).
3*r**2*(r - 1)**2*(r + 1)
Let k(i) be the first derivative of -i**4/9 - 20*i**3/27 + 16*i**2/9 + 16*i/3 + 815. Factor k(w).
-4*(w - 2)*(w + 1)*(w + 6)/9
Let u(m) be the third derivative of m**6/40 + 3*m**5/4 - 33*m**4/8 + 17*m**3/2 - 9*m**2 - m. Find t, given that u(t) = 0.
-17, 1
Let i(j) be the first derivative of 2*j**3/33 + 3*j**2/11 + 4*j/11 - 85. Solve i(z) = 0 for z.
-2, -1
Suppose -7*n - 3118 = 4582. Let r be ((-3)/7 - -1) + n/(-280). Find g, given that -3/2*g**3 + 0 - 3*g - r*g**2 = 0.
-2, -1, 0
Suppose 2*w - 6 = 2*u, -24*w + 28*w - 12 = 2*u. Solve 1/3*s**4 + 0 + 2/3*s + 4/3*s**w + 5/3*s**2 = 0 for s.
-2, -1, 0
What is m in -1058/3 - 1/6*m**2 - 46/3*m = 0?
-46
Let c be 6 + 312/(-54) + 4/(-18). Factor -2/17*q**4 + c - 2/17*q - 6/17*q**3 - 6/17*q**2.
-2*q*(q + 1)**3/17
Let 12/5 - 2/5*q - 2/5*q**2 = 0. Calculate q.
-3, 2
Let k = 1734 + -62423/36. Let v(n) be the third derivative of k*n**4 + 0 + 1/270*n**5 + 12*n**2 + 0*n + 0*n**3. Factor v(t).
2*t*(t + 3)/9
Let t(l) be the second derivative of -7*l**4/24 - 47*l**3/12 + 7*l**2/2 + 15*l. Factor t(u).
-(u + 7)*(7*u - 2)/2
Let f = -2293 + 2300. Let m(h) be the third derivative of 3*h**3 + 0 + 1/30*h**5 + 0*h + 1/2*h**4 - f*h**2. Factor m(y).
2*(y + 3)**2
Let x be (-345692)/130 + (-8)/(-20). Let d = x + 2660. Suppose -d*g**4 - 8/13*g**5 - 2/13 + 2/13*g - 2/13*g**3 + 10/13*g**2 = 0. What is g?
-1, 1/2
Let s(l) be the third derivative of l**7/21 + 31*l**6/60 + 7*l**5/75 - 23*l**4/15 + 8*l**3/5 + 158*l**2. Suppose s(m) = 0. What is m?
-6, -1, 2/5
Let f(q) be the first derivative of q**5/140 - q**4/28 + q**3/14 - q**2/14 + 19*q + 8. Let j(o) be the first derivative of f(o). Factor j(y).
(y - 1)**3/7
Let r be (-3 + 1 + 0)/(-189 - -169). Let b(o) be the second derivative of r*o**3 + 0 + 3/100*o**5 - 1/10*o**4 + 6*o + 0*o**2. Determine x so that b(x) = 0.
0, 1
Let x(t) be the third derivative of -t**5/240 - 5*t**4/96 + t**3/4 + 2*t**2 + 23. Find c, given that x(c) = 0.
-6, 1
Let z = 612/115 - 58/23. Find w such that -z*w**2 - 4/5*w**3 - 6/5 - 16/5*w = 0.
-3/2, -1
Suppose 2*n - 4 = 8. Suppose -2 = -n*v + 10. Solve 0*u - 2/5*u**3 + 2/5*u**v + 0 = 0.
0, 1
Factor -5*o**2 + 10*o + o**2 + 2*o**2 + 4*o**2.
2*o*(o + 5)
Suppose 316*k = 680*k - 340*k - 360. Suppose -k*m**2 - 27/5*m**3 - 36/5*m + 12/5 = 0. Calculate m.
-2, -1, 2/9
Find a such that -3*a**2 - 6 - 21/2*a + 3/2*a**3 = 0.
-1, 4
Let z(l) = 6*l**3 + 72*l**2 + 264*l + 298. Let i(b) = 9*b**3 + 108*b**2 + 396*b + 448. Let c(q) = -5*i(q) + 8*z(q). What is p in c(p) = 0?
-6, -4, -2
Suppose 0*b - 4*b + 40 = 0. Suppose 3*q - q - b = 0. Factor -24*n**3 - 6 - 1 + 16*n - 14*n**2 + 9*n**4 - 1 + q.
(n - 3)*(n + 1)*(3*n - 1)**2
Let h = -8/95 + 151/665. Factor 0 + 3/7*v**3 + h*v**5 + 3/7*v**4 + 1/7*v**2 + 0*v.
v**2*(v + 1)**3/7
Find a such that 81/4 + 13/4*a**4 + 189/4*a + 81/2*a**2 + 1/4*a**5 + 33/2*a**3 = 0.
-3, -1
Let v be 30/105 - (-7 + (-234)/(-42)). Factor -v*g + 0 - 2/7*g**2.
-2*g*(g + 6)/7
Suppose -3/5*p**4 + 11/5*p**3 - 2 + 21/5*p**2 - 3/5*p = 0. Calculate p.
-1, 2/3, 5
Suppose 128 - 5*p**3 + 3*p**3 + 34*p**2 + 3519*p - 3679*p = 0. Calculate p.
1, 8
Let v(u) be the first derivative of -u**5/5 + u**4 + 2*u**3 - 2*u**2 - 5*u - 95. Factor v(g).
-(g - 5)*(g - 1)*(g + 1)**2
Let w(u) be the first derivative of u**8/2016 + u**7/1260 - u**6/144 + u**5/120 + 7*u**2 + u + 10. Let z(p) be the second derivative of w(p). Factor z(v).
v**2*(v - 1)**2*(v + 3)/6
Let x(z) be the third derivative of z**7/350 - 13*z**6/100 + 54*z**5/25 - 243*z**4/20 - 729*z**3/10 + 30*z**2. Find h such that x(h) = 0.
-1, 9
Let y(n) be the second derivative of -n**6/1440 + n**5/80 - 5*n**4/96 + n**3/3 - 7*n. Let w(x) be the second derivative of y(x). Factor w(z).
-(z - 5)*(z - 1)/4
Let o be (-1)/2*(4 - 4). Let s(p) be the second derivative of 6*p + o + 0*p**4 + 1/45*p**6 + 0*p**3 - 1/126*p**7 + 0*p**2 - 1/60*p**5. Factor s(z).
-z**3*(z - 1)**2/3
Let q = -61292/3 - -20431. Let -2 - q*z**2 + 5/3*z = 0. Calculate z.
2, 3
Let z(b) = -b + 1. Let i(m) = -6*m**4 + 14*m**3 + 2*m**2 - 10*m. Suppose 5*y + 14 = p, 2*p - 2*y - 3 = -p. Let h(j) = p*i(j) - 4*z(j). Solve h(a) = 0.
-1, 1/3, 1, 2
Let t(m) = -m**3 + m + 1. Let n(f) = 4*f**4 + 4*f**3 - 12*f**2 + 4*f - 4. Let u(l) = n(l) + 4*t(l). Suppose u(j) = 0. What is j?
-2, 0, 1
Let o(c) be the second derivative of -3/10*c**5 - 2 + 43*c + 2/3*c**4 + 0*c**2 - 1/15*c**6 + 0*c**3. Suppose o(r) = 0. Calculate r.
-4, 0, 1
Let u(q) be the second derivative of q**4/18 + 14*q**3/3 + 147*q**2 + 2*q - 4. Factor u(p).
2*(p + 21)**2/3
Let t = 1/89 + 173/445. Let g = -267 + 1339/5. Factor 2/5*d**3 + t*d**2 - g*d + 0.
2*d*(d - 1)*(d + 2)/5
Let l(p) = -3*p - 29. Let o be l(-11). Suppose 6*g**3 - 481*g**o - g**3 - 5*g**2 + 506*g**4 + 15*g**5 = 0. What is g?
-1, 0, 1/3
Let j(o) be the second derivative of 2/15*o**3 + 1/12*o**4 + 0*o**2 + 1/100*o**5 + 0 - 17*o. Let j(c) = 0. What is c?
-4, -1, 0
Suppose 0 = 5*s + s - 24. Factor -14*u**3 + 11*u**3 + 3*u**5 + 13*u**4 + 2*u**2 + 4*u**2 - 19*u**s.
3*u**2*(u - 2)*(u - 1)*(u + 1)
Let x(v) = -2*v**4 + 12*v**3 - v**2 + 5*v. Let z(h) = -2*h**4 + 11*h**3 - h**2 + 4*h. Let b(r) = -6*x(r) + 7*z(r). Factor b(m).
-m*(m - 2)*(m - 1)*(2*m + 1)
Let b(g) be the third derivative of -g**6/24 + 11*g**5/6 - 35*g**4/8 - 495*g**2. Factor b(y).
-5*y*(y - 21)*(y - 1)
Let h(m) = 13*m**2 - 3*m + 12. Let d(r) = -11*r**2 + 2*r - 11. Let b(x) = 7*d(x) + 6*h(x). Solve b(l) = 0 for l.
-1, 5
Let x(h) be the second derivative of -2*h**7/105 - h**6/15 + h**5/5 + 11*h**2/2 + 9*h. Let y(s) be the first derivative of x(s). Factor y(d).
-4*d**2*(d - 1)*(d + 3)
Let n = 14 - 12. Suppose 0 = -2*s - n*s + 32. Let -6*x + 13 - 5*x**2 + s*x**2 - 10 = 0. What is x?
1
Let z(v) be the third derivative of -v**8/2688 - 31*v**7/1680 - 37*v**6/160 + 2*v**5/3 + 8*v**4/3 - 176*v**2. Solve z(d) = 0.
-16, -1, 0, 2
Let a be (-14)/3*(-9)/6. Let h = -1 + a. Factor 0*t**2 - 6*t**3 + 0 - 5 + 3 + h*t + 2*t**2.
-2*(t - 1)*(t + 1)*(3*t - 1)
Suppose -3*q + 256 = 4*j, -4*q - 4*j = -7*j - 308. Let p = q - 80. Suppose -2/5*b**2 + 4/5*b**4 + 0*b + p + 2/5*b**3 = 0. Calculate b.
-1, 0, 1/2
Let t(w) be the first derivative of -11*w**5/10 + 295*w**4/8 - 697*w**3/2 + 1469*w**2/4 + 169*w + 284. Suppose t(b) = 0. Calculate b.
-2/11, 1, 13
Find t such