2.
-5*(z - 2)*(z + 2)
Suppose -5*r + 4 - 1 = -4*t, 4*r + 48 = -4*t. Let m be 3/t - 434/(-98). Factor f**5 - 3*f**5 - 2*f**m + 2*f**3 - 7*f**2 + 9*f**2.
-2*f**2*(f - 1)*(f + 1)**2
Let f(i) be the second derivative of -i**4/16 + 15*i**3/4 - 375*i**2/8 - 2*i + 161. Factor f(z).
-3*(z - 25)*(z - 5)/4
Let i(n) = 3*n**2 - 99*n - 114. Suppose -5*s + 4*m = -11, 5*s = 4*s - m - 5. Let w(a) = -a - 2. Let l(g) = s*i(g) + 12*w(g). Let l(v) = 0. Calculate v.
-1, 30
Suppose -d + 14 = 6*d. Factor t**3 + 71*t**2 + 60*t**2 - 130*t**d - 4 - 4*t.
(t - 2)*(t + 1)*(t + 2)
Let x(m) be the first derivative of -m**6/180 - m**5/30 + 5*m**4/4 + m**3/3 - 15*m**2 - 44. Let q(r) be the third derivative of x(r). Solve q(k) = 0 for k.
-5, 3
Factor -237*z**2 + 619*z**2 - 252*z + 4*z**4 - 252*z**2 - z**5 - 334*z**2 + 53*z**3.
-z*(z - 6)**2*(z + 1)*(z + 7)
Let q(i) be the second derivative of -i**4/36 + 47*i**3/18 + 34*i**2 - 1319*i. Factor q(w).
-(w - 51)*(w + 4)/3
Suppose -10*a - 330 - 20 = 0. Let z = a - -177/5. Factor 4/5 - z*v + 2/5*v**3 - 4/5*v**2.
2*(v - 2)*(v - 1)*(v + 1)/5
Let c(y) be the first derivative of -4*y**6/21 + 418*y**5/35 - 24*y**4/7 - 418*y**3/21 + 52*y**2/7 - 1843. Find i such that c(i) = 0.
-1, 0, 1/4, 1, 52
Let x(q) be the first derivative of q**6/72 + q**5/12 - 5*q**4/8 - q**3 - 24*q - 129. Let z(d) be the third derivative of x(d). Find i, given that z(i) = 0.
-3, 1
Let r(g) = 16*g**3 + 2037*g**2 + 15034*g - 3892. Let j(x) = -33*x**3 - 4074*x**2 - 30066*x + 7785. Let f(y) = 4*j(y) + 9*r(y). Determine k, given that f(k) = 0.
-162, -8, 1/4
Suppose -n = -4*h + 17, -5 = -5*n + 11*h - 9*h. Suppose -18*i**3 + 15*i**5 - 18*i**5 - n*i - 15*i**4 - 19*i**2 + 3*i**4 + 7*i**2 = 0. What is i?
-1, 0
Let l(g) be the first derivative of -g**7/1680 - g**6/360 + g**5/80 - 46*g**3/3 + 101. Let f(c) be the third derivative of l(c). Factor f(i).
-i*(i - 1)*(i + 3)/2
Let d(l) be the first derivative of 2*l**5/15 + 163*l**4 + 53138*l**3 - 4711. Factor d(j).
2*j**2*(j + 489)**2/3
Let x(n) be the third derivative of -7*n**6/96 + 25*n**5/24 - 15*n**4/8 - 15*n**3 - 68*n**2. Determine i so that x(i) = 0.
-6/7, 2, 6
Let v(n) be the third derivative of 1/945*n**7 + 2/135*n**5 - 1/135*n**6 + 0*n**3 + 5*n**2 + 0*n - 5 + 0*n**4. Factor v(j).
2*j**2*(j - 2)**2/9
Let m(g) = 40*g**4 + 80*g**3 - 475*g**2 + 625*g - 255. Let u(q) = -23*q**4 - 39*q**3 + 238*q**2 - 312*q + 127. Let r(a) = 3*m(a) + 5*u(a). Factor r(z).
5*(z - 2)*(z - 1)**2*(z + 13)
Let n(o) = -o**2 - 70*o - 1053. Let f be n(-22). Let h(c) be the first derivative of 578/27*c**f - 68/9*c**2 + 8/9*c - 10. Determine k, given that h(k) = 0.
2/17
Suppose 40*o = 2524145 - 2523985. Find f such that 1/5*f**3 + 0*f**2 + 0 + 0*f - 1/5*f**o = 0.
0, 1
Solve -3*c**5 + 124416*c**2 + 235687*c + 304*c**4 + 557465*c + 1679616 + 7*c**5 + 8928*c**3 = 0 for c.
-18, -4
Let c(y) be the third derivative of -y**5/150 - 26*y**4/3 - 13520*y**3/3 - 410*y**2 + y. Suppose c(j) = 0. What is j?
-260
Let k be (1 + 24/25 + -2)/((-4)/10). Let t(n) be the first derivative of 2/15*n**3 + 1/20*n**4 - 22 + 0*n + k*n**2. Factor t(x).
x*(x + 1)**2/5
Let g(h) be the second derivative of -h**4/42 + 109*h**3/21 + 222*h**2/7 - 630*h. Suppose g(n) = 0. Calculate n.
-2, 111
Factor -416*u**2 - 3*u**3 + 2*u**3 - 20341*u + 20341*u.
-u**2*(u + 416)
Let j(g) be the third derivative of -13/96*g**4 + 0 + 0*g**3 - 2*g - 7/120*g**5 + 88*g**2 - 1/480*g**6. Determine a, given that j(a) = 0.
-13, -1, 0
Suppose -2*j + 13*j = 33. Determine s so that -1 - 8*s**2 - 5*s**j + 73 - 7*s**3 + 108*s = 0.
-3, -2/3, 3
Solve 17206*w**2 + 10440*w + 10092 - 15*w**3 + 18*w**3 - 16855*w**2 = 0.
-58, -1
Let h(f) be the second derivative of 1/18*f**4 + 31 + 3*f**2 + f + 2/3*f**3. Factor h(o).
2*(o + 3)**2/3
Let o = 9992 + -9992. Let a(r) be the second derivative of -21*r - 8*r**2 + 1/3*r**4 + o + 0*r**3. Find p such that a(p) = 0.
-2, 2
Let j be 3/2*((-572)/(-33) - 12). Let z be 19/(-57) - j/(-12). Find a such that 0 + 0*a + 0*a**3 - z*a**4 + 1/3*a**2 = 0.
-1, 0, 1
Find c, given that -9/2 - 15/8*c + 9/4*c**2 - 3/8*c**3 = 0.
-1, 3, 4
Factor 885 + 3*v**2 - 728*v + v**2 - 1156 - 461.
4*(v - 183)*(v + 1)
Let o(d) be the third derivative of -47*d**6/1080 + d**5/180 - 23*d**3 - 7*d**2 + 9. Let i(k) be the first derivative of o(k). Let i(r) = 0. Calculate r.
0, 2/47
Suppose -5*v + 5*t = -20, 8*t + 10 = 3*v + 3*t. Let b(x) be the third derivative of 0*x - 1/15*x**3 - 27*x**2 + 1/30*x**4 - 1/150*x**v + 0. Solve b(o) = 0.
1
Let r(a) be the first derivative of a**7/105 - 41*a**6/180 + a**5/6 - 3*a**3 + 2*a**2 + 32. Let m(j) be the third derivative of r(j). What is u in m(u) = 0?
0, 1/4, 10
Let o(n) = -15*n**3 + 2685*n**2 - 9*n - 2637. Let i(l) = 5*l**3 - 895*l**2 + 4*l + 877. Let y(f) = 8*i(f) + 3*o(f). Suppose y(a) = 0. Calculate a.
-1, 1, 179
Let g be (-3)/4 - ((-169)/(-4))/13. Let p be (-3)/g*(-4 + 36/6). Factor -p*v**3 + 9/2*v**2 - 9/2*v + 3/2.
-3*(v - 1)**3/2
Suppose 2*o + 4*v - 11 = 5*v, -4*v + 4 = 4*o. Factor 3*k + 4*k**2 - 624*k**3 + k + 604*k**3 + 12*k**o.
4*k*(k - 1)**2*(3*k + 1)
Let r(t) be the second derivative of 2*t**2 - 52*t + 1 + 3*t**3 + 7/6*t**4. Factor r(k).
2*(k + 1)*(7*k + 2)
Suppose -1 = 54*o - 217. Let b(u) be the second derivative of 2/3*u**2 - 18*u + 19/60*u**5 + 0 + 7/90*u**6 + 1/126*u**7 + 8/9*u**3 + 25/36*u**o. Factor b(d).
(d + 1)**3*(d + 2)**2/3
Suppose 3*v + 62 = i, -5481*v + 5484*v + 64 = 2*i. Factor 22/7*f + 2/7*f**i + 36/7.
2*(f + 2)*(f + 9)/7
Let v(b) be the third derivative of 2*b**7/105 + 43*b**6/60 - 23*b**5/10 + b**4/12 + 23*b**3/3 - b**2 - 20*b - 20. Suppose v(x) = 0. What is x?
-23, -1/2, 1
Suppose -b = -3*d - 274, -5*d + b - 320 = 140. Let j = d - -93. Solve 9/4*s**3 + 1/2*s**4 - 1 + j*s + 11/4*s**2 = 0 for s.
-2, -1, 1/2
Suppose -g - 4 = -2, 0 = -3*k - 4*g - 2. Let a be 0*(28/126)/(k/(-3)). Suppose 0*v - 2/13*v**2 + a - 2/13*v**3 = 0. What is v?
-1, 0
Let z = -123768 + 123782. Factor 2/3*y**2 + z*y - 44/3.
2*(y - 1)*(y + 22)/3
Let m = -37 + 55. Let p be 158/5 - m/(-45). Factor 24*z - 24*z**2 + 35 - 7*z - p*z**3 - 4*z**4 - 7 + 15*z.
-4*(z - 1)*(z + 1)**2*(z + 7)
Suppose -61*y - 114 - 35 - 117 - 2*y**2 - 7*y + 138 = 0. Calculate y.
-32, -2
Let v(j) be the first derivative of -1/26*j**4 - 4/13*j**3 - 9/13*j**2 + 27 + 0*j. Factor v(r).
-2*r*(r + 3)**2/13
Let l(h) be the first derivative of -h**4/10 + 4*h**3/15 + 39*h**2/5 + 144*h/5 - 1360. Determine q, given that l(q) = 0.
-3, 8
Factor -8/3*r + 91 - 1/3*r**2.
-(r - 13)*(r + 21)/3
Suppose -2*a + q + 350 = 0, -4*q - 109 = -3*a + 421. Solve 5*c**5 + 30*c**2 + 40*c**4 - a*c**3 + 466*c**3 - 227*c**3 = 0 for c.
-6, -1, 0
Suppose 26 + 105/4*o + 1/4*o**2 = 0. Calculate o.
-104, -1
Let t(p) be the third derivative of 48*p**2 + 1/300*p**5 + 0 + 7/12*p**4 + 0*p + 245/6*p**3. Factor t(x).
(x + 35)**2/5
Let p(f) be the third derivative of -f**5/30 + 95*f**4/6 + 191*f**3/3 + 403*f**2. What is d in p(d) = 0?
-1, 191
Let -5/4*s**2 + 0 - 1785/4*s = 0. What is s?
-357, 0
Let y be (-1)/((-2)/(-6)) + (-230)/(-2). Suppose y = 2*u + v, -4*v + 230 = 4*u + v. Factor 45*h**2 + 24*h - 4*h + 5*h**3 + u*h + 35.
5*(h + 1)**2*(h + 7)
Let w(u) be the third derivative of 0*u + 1/120*u**5 + 1/3*u**3 + 0 + 74*u**2 - 1/12*u**4. Factor w(t).
(t - 2)**2/2
Factor -3/2*z**3 - 1083 + 543*z**2 - 1077/2*z.
-3*(z - 361)*(z - 2)*(z + 1)/2
Suppose 4*i + 24 = 0, 40*i = 6*x + 38*i - 258. Let h(m) be the first derivative of 10/9*m**3 + 0*m - x - 1/2*m**4 + 2/3*m**2. Factor h(q).
-2*q*(q - 2)*(3*q + 1)/3
Let l(a) be the first derivative of -28*a**3 + 1340*a**2 + 256*a + 167. Find x such that l(x) = 0.
-2/21, 32
Factor 156 - 69/2*b**2 - 123*b + 3/2*b**3.
3*(b - 26)*(b - 1)*(b + 4)/2
Let c(d) = 3*d + 42. Let s be c(-16). Let z(v) = 3*v**2 + 46*v + 12. Let i(h) = 5*h**2 + 45*h + 12. Let n(j) = s*i(j) + 7*z(j). Factor n(u).
-(u - 6)*(9*u + 2)
Let c = 794 + -447. Let p(r) = r + c*r**2 - 697*r**2 + 351*r**2. Let b(l) = 16*l**2 + 10*l - 6. Let g(h) = -2*b(h) + 36*p(h). What is i in g(i) = 0?
-3, -1
Let q(g) be the third derivative of g**5/20 - 30*g**4 + 7200*g**3 - 234*g**2 - g. Factor q(w).
3*(w - 120)**2
Suppose 0 = -4*n - 5*g + 99, -4*n + 48*g - 11 = 43*g. Let -1/2*h**2 + n*h - 21/2 = 0. Calculate h.
1, 21
Let y(i) be the third derivative of i**7/350 + 17*i**6/100 + 409*i*