 + 0*r**4 + 0. Determine p so that k(p) = 0.
-1, -1/3, 0, 1/3, 1
Let l(c) be the third derivative of c**5/60 - c**4/4 + 5*c**3/6 + 51*c**2. Suppose l(w) = 0. What is w?
1, 5
Let w(s) be the second derivative of s**7/1764 + s**6/280 - s**5/210 + 17*s**4/6 - 38*s. Let l(c) be the third derivative of w(c). Factor l(b).
2*(b + 2)*(5*b - 1)/7
Let h(k) be the first derivative of k**6/2700 + k**5/450 - 7*k**3/3 - 3. Let x(w) be the third derivative of h(w). Factor x(c).
2*c*(c + 2)/15
Let b(r) = 2*r**2 - 288*r. Let l(n) = 3*n**2 - 294*n. Let c(g) = 6*b(g) - 5*l(g). Find t such that c(t) = 0.
-86, 0
Let k(v) be the third derivative of -2*v**2 - v + 2/15*v**3 - 1/150*v**5 + 0 + 1/60*v**4. Factor k(g).
-2*(g - 2)*(g + 1)/5
Let l(m) = 11*m**2 + 65*m - 3. Let h(r) = 58*r**2 + 324*r - 16. Let b(a) = 3*h(a) - 16*l(a). Factor b(u).
-2*u*(u + 34)
Let d = -40 - -45. Let i(y) = 20*y**3 + 8*y**2 - 4*y + 4. Let g(u) = 20*u**3 + 9*u**2 - 5*u + 5. Let r(m) = d*i(m) - 4*g(m). Solve r(s) = 0.
-1/5, 0
Let s(a) be the first derivative of -a**6/300 + a**4/60 + 3*a**2/2 - 4. Let q(p) be the second derivative of s(p). Factor q(l).
-2*l*(l - 1)*(l + 1)/5
Let g(w) = -w**2 + 1. Let p(h) = -4*h + 98. Let a be p(25). Let b(k) = -2*k + 2 - 4 + 8*k**2 - 12*k**3 + 8*k**3. Let t(j) = a*g(j) - b(j). Factor t(s).
2*s*(s - 1)*(2*s - 1)
Let m(k) be the second derivative of -k**4/4 - 11*k**3/2 - 36*k**2 - 137*k - 1. Factor m(f).
-3*(f + 3)*(f + 8)
Let g(z) = -z**3 + 74*z**2 + 119*z + 7. Let a(f) = -24*f**2 - 40*f - 2. Let c(u) = 7*a(u) + 2*g(u). Determine k so that c(k) = 0.
-7, -3, 0
Let a(l) = -l**3 - 4*l**2 + 8*l + 18. Let y be a(-5). Determine j so that j**2 - 4/3*j**y + 1/3*j**4 + 4/3*j - 4/3 = 0.
-1, 1, 2
Let r be 16/10 - (24/10 - 2). Find q, given that r*q**4 - 12*q - 30 + 144/5*q**2 + 12*q**3 = 0.
-5, -1, 1
Let l(s) be the first derivative of s**6/48 - s**5/20 + 148. Factor l(k).
k**4*(k - 2)/8
Let k = 22/1623 - -51782/11361. Factor -26/7*m**2 - 8/7 - k*m - 6/7*m**3.
-2*(m + 2)**2*(3*m + 1)/7
Suppose 171*m = 164*m. Let o(t) be the first derivative of m*t + 11*t**3 + 3*t**2 + 6 + 27/4*t**4. Solve o(d) = 0 for d.
-1, -2/9, 0
Let s(f) = 8*f**4 + 60*f**3 + 44*f**2 - 60*f - 60. Let q(v) = 9*v**4 + 59*v**3 + 41*v**2 - 59*v - 60. Let h(l) = 4*q(l) - 5*s(l). Factor h(d).
-4*(d - 1)*(d + 1)**2*(d + 15)
Let r(p) be the first derivative of p**4 + 4*p**3/3 - 2*p**2 - 4*p + 69. Solve r(w) = 0 for w.
-1, 1
Let u = -60 + 63. Let b(x) = -4*x**4 + 2*x**2 - 2*x - 2. Let d(f) = -5*f**4 + 3*f**2 - 3*f - 3. Let g(z) = u*b(z) - 2*d(z). Find o, given that g(o) = 0.
0
Let p(d) be the first derivative of d**4/7 - 44*d**3/7 + 240*d**2/7 - 464*d/7 - 216. Factor p(y).
4*(y - 29)*(y - 2)**2/7
Let j(f) be the third derivative of f**6/360 - 4*f**5/45 + 13*f**4/24 - 500*f**2. Factor j(d).
d*(d - 13)*(d - 3)/3
Let m(r) be the second derivative of 0 + 0*r**5 + 9*r + 2/27*r**3 + 1/135*r**6 - 1/18*r**4 + 0*r**2. What is q in m(q) = 0?
-2, 0, 1
Suppose 5*z + 14 = 2*r, 0 = -17*r + 19*r + 3*z + 2. What is q in 27/2 + 3*q + 1/6*q**r = 0?
-9
Let w(p) be the first derivative of 11 - 4/7*p**2 + 2/35*p**5 + 0*p**3 + 0*p + 3/14*p**4. Factor w(x).
2*x*(x - 1)*(x + 2)**2/7
Let u = -37 - -34. Let b be u*(4/12 - 3). Determine h so that -5*h**4 + 18*h**2 + 5*h**3 - b*h**2 + 0*h**3 = 0.
-1, 0, 2
Let i(m) be the third derivative of -m**7/1260 - m**6/90 - m**5/15 - m**4/2 - 11*m**2. Let f(v) be the second derivative of i(v). Find o, given that f(o) = 0.
-2
Let w(a) be the second derivative of a**5/5 + 103*a**4/3 + 1802*a**3 + 5202*a**2 + 352*a - 1. Solve w(m) = 0 for m.
-51, -1
Let q be (6/351)/((-3 + 6)/846). Let s = q - 54/13. Factor s*p**2 + 0 + 2/3*p.
2*p*(p + 1)/3
Let h(g) be the first derivative of -g**5/4 + 10*g**3/3 - 20*g + 17. Let z(i) be the first derivative of h(i). Determine q so that z(q) = 0.
-2, 0, 2
Let k = 44 - 32. Let d = k + -23/2. Let -3/4*f**2 - 5/4*f**3 + d*f + 0 = 0. What is f?
-1, 0, 2/5
What is v in -5/3*v + 2*v**3 + 1/3*v**4 - 1/3*v**5 + 2/3*v**2 - 1 = 0?
-1, 1, 3
Let u(r) = r**4 + r**3 + r. Let k(q) = 21*q**5 + 45*q**4 + 9*q**3 - 42*q**2 - 36*q - 6. Let g(n) = k(n) + 3*u(n). Let g(c) = 0. Calculate c.
-1, -2/7, 1
Let x(b) be the first derivative of -2/3*b**3 + 7 - 50*b - 10*b**2. Determine d so that x(d) = 0.
-5
Let u(l) be the third derivative of l**7/1260 + l**6/30 + 11*l**5/60 - 7*l**4/24 - 30*l**2. Let g(r) be the second derivative of u(r). Factor g(q).
2*(q + 1)*(q + 11)
Factor 1/2*d**2 + 81/2 - 9*d.
(d - 9)**2/2
Let j be 10/(-40) + (-26)/(-8). Let d(s) be the second derivative of -6*s + 4/3*s**j + 0 - 3*s**2 - 1/6*s**4. Find f such that d(f) = 0.
1, 3
Let u(s) = 2*s + 4. Let k be u(-4). Let l be 208/30 - k/6. Factor 12/5 - l*y + 6*y**2.
2*(3*y - 2)*(5*y - 3)/5
Let i = 487/1467 + 2/1467. Factor -x**4 + 2/3*x**2 + i*x**5 + 2/3*x**3 - x + 1/3.
(x - 1)**4*(x + 1)/3
Suppose -11*x = -31*x + 16*x. Let d(u) be the second derivative of u + 0 + x*u**3 + 3/2*u**2 - 1/4*u**4. Factor d(w).
-3*(w - 1)*(w + 1)
Let o be ((-12)/36)/(1/(-42)). Factor 4 - 6*s**3 + 35*s**2 + 24*s**2 - o*s - 43*s**2.
-2*(s - 1)**2*(3*s - 2)
Solve 0 - 53/3*r**3 + 0*r**2 + 0*r + 18*r**4 - 1/3*r**5 = 0.
0, 1, 53
Let f = -26278 - -26281. Factor -1/2*k**4 - 11/2*k + 7*k**2 + 3/2 + 1/2*k**5 - f*k**3.
(k - 1)**4*(k + 3)/2
Let j(s) = -120*s**3 + 2175*s**2 + 4795*s + 35. Let y(r) = 7*r**3 - 128*r**2 - 282*r - 2. Let o(t) = 2*j(t) + 35*y(t). Factor o(k).
5*k*(k - 28)*(k + 2)
Let t(b) be the first derivative of 6/5*b**5 - 2*b**2 - 2*b**3 + 0*b + 31 + b**4. Factor t(v).
2*v*(v - 1)*(v + 1)*(3*v + 2)
Suppose 70*m = 75*m + 250. Let f be 1/((-6)/m) + (-4 - -1). Find p, given that -1/3*p**2 - f + 8/3*p = 0.
4
Suppose 0 = -9*f + 13 + 5. Factor 4*h - 16/3*h**f + 4/3.
-4*(h - 1)*(4*h + 1)/3
Factor 6/5*p + 4/5 - 2/5*p**3 + 0*p**2.
-2*(p - 2)*(p + 1)**2/5
Let w(b) be the second derivative of -2*b**7/105 - b**6/10 - b**5/15 + b**4/2 + 4*b**3/3 - b**2/2 - 2*b. Let d(c) be the first derivative of w(c). Factor d(z).
-4*(z - 1)*(z + 1)**2*(z + 2)
Let l(a) be the third derivative of 0*a - 1/12*a**6 + 0 - 2*a**3 - 4/15*a**5 + 8*a**2 + 19/12*a**4. Factor l(g).
-2*(g - 1)*(g + 3)*(5*g - 2)
Let t be 30*(0 - (-3)/18). Determine q so that 52*q - 12*q**3 + 16*q**2 - 63*q + 27*q - 8*q**4 + 4*q**t = 0.
-1, 0, 2
Let x(n) be the first derivative of -2*n**3/15 + 16*n**2/5 - 20. Solve x(w) = 0 for w.
0, 16
Let p be (-2 - -3)/((-1)/(-2)). Let o be 4/(-8) + 9/p. Factor 2*y**o - 10 + 10 + 2*y**2 + 4*y**3.
2*y**2*(y + 1)**2
Let v(d) be the first derivative of 5*d**6/6 - d**5 - 25*d**4/4 + 5*d**3/3 + 20*d**2 + 20*d - 25. Suppose v(r) = 0. Calculate r.
-1, 2
What is n in 1/4*n**2 - 10 - 9/2*n = 0?
-2, 20
Let p(q) be the first derivative of -2*q**5/5 + q**4 + 6*q**3 - 18*q**2 + 96. Find w such that p(w) = 0.
-3, 0, 2, 3
Let t = 449/20 - 5717/260. Factor -4/13 - 2/13*k**2 - t*k.
-2*(k + 1)*(k + 2)/13
Let g(w) = w + 8. Let l be g(-6). Let z = 2 + l. Factor -z*t**2 + t**2 - t**3 - 4*t + 2*t + 0*t**3.
-t*(t + 1)*(t + 2)
Let z be 60/(-36) + 2/1. Let m = 21 + -20. Determine v, given that z*v**2 + 2/3*v - m = 0.
-3, 1
Let s = -354 - -354. Let c(y) be the third derivative of 0*y - 4*y**2 - 7/20*y**5 - 9/2*y**3 - 1/40*y**6 - 15/8*y**4 + s. Find o such that c(o) = 0.
-3, -1
Let n be (0*(-9)/54)/(0 - -1). What is x in 2/19*x**2 + 2/19*x + n = 0?
-1, 0
What is l in -93/2 + 185/4*l + 1/4*l**2 = 0?
-186, 1
Factor -3/5*i**2 + 171/5 + 48/5*i.
-3*(i - 19)*(i + 3)/5
Let q(u) be the first derivative of u**4/34 - 64*u**3/51 - 67*u**2/17 - 4*u + 46. Factor q(k).
2*(k - 34)*(k + 1)**2/17
Factor -2/7*b**2 - 54/7 - 24/7*b.
-2*(b + 3)*(b + 9)/7
Let r(n) be the first derivative of -n**6/9 + 2*n**5/5 - n**4/3 - 4*n**3/9 + n**2 - 2*n/3 + 174. Determine z, given that r(z) = 0.
-1, 1
Suppose 3*o - 3*n - 278 = -2*o, 0 = -3*o - 5*n + 194. Factor 0*t**2 + o*t**3 + 4*t + t**2 - 1 - 62*t**3.
-(t - 1)*(t + 1)*(4*t - 1)
Let z be 1/(-3) + (-185)/(-111). Find r such that 8/3*r**2 + 0 + z*r = 0.
-1/2, 0
Suppose 0 = -q - 10 + 13. Suppose -3*g**2 + 3 - g**q - 2 + 2 + 5 + 6*g = 0. Calculate g.
-4, -1, 2
Factor 60 + 95*s**2 - 2*s**3 + 12*s**3 - 6*s + 80 + 191*s - 70.
5*(s + 2)*(s + 7)*(2*s + 1)
Let b be 454/19 - (-14)/133. Let x be (-33)/(-9) + -1 + (-16)/b. Factor 0 - 1/5*y + 1/5*y**3 + 0*y**x.
y*(y - 1)*(y + 1)/5
Le