.
-2*(t - 1)*(t + 1)**2
Let v(t) be the third derivative of -t**8/112 + 9*t**7/35 - 4*t**6/5 - t**5/10 + 33*t**4/8 - 8*t**3 + 15*t**2 - 4*t. Factor v(a).
-3*(a - 16)*(a - 1)**3*(a + 1)
Let t = 129 + -127. Factor 0*m**3 + 1232 + 18*m - 3*m**3 - 1256 + 9*m**t.
-3*(m - 4)*(m - 1)*(m + 2)
Let d(p) = -p**3 - p**2 + 22*p + 42. Let w be d(-4). Solve -4/13*c + 0 - 14/13*c**3 + 4/13*c**4 + 14/13*c**w = 0.
0, 1/2, 1, 2
Let i(o) be the third derivative of -o**7/525 - 7*o**6/75 - 24*o**5/25 - 68*o**4/15 - 176*o**3/15 + 2*o**2 + 70. Solve i(l) = 0.
-22, -2
Let g(t) be the second derivative of -t**5/20 + t**4/8 + 5*t**2 + 8*t. Let d(j) be the first derivative of g(j). Let d(v) = 0. What is v?
0, 1
Let o(u) = u**2 + 101*u + 2418. Let m be o(-39). Factor -2/7*c**3 + 0*c**2 + 0*c + 0 + m*c**4 + 2/7*c**5.
2*c**3*(c - 1)*(c + 1)/7
Determine z, given that 158900 - 5*z**4 - 158900 - 75*z**3 = 0.
-15, 0
Let f be 14/8 - 1/(-4). Suppose 2*v - f = -2*c, 0 = -5*c - v + 4*v + 29. Factor d**3 + 2/3*d - 1/3*d**5 + 0 + 1/3*d**c - 5/3*d**2.
-d*(d - 1)**3*(d + 2)/3
Suppose -5*x + r + 6 + 13 = 0, 4 = 4*r. Suppose -2*t - 2*p = -16, 0*p - 29 = -3*t - x*p. Factor 3*i**3 - 3*i**t - 4*i**3 + 2*i**4 + 2*i**2.
2*i**2*(i - 1)**2
Let g(a) be the third derivative of a**9/241920 - a**7/6720 + a**6/1440 + a**5/6 + 11*a**2. Let c(y) be the third derivative of g(y). Solve c(k) = 0.
-2, 1
Suppose 0 = -5*n - 3 + 13, -4*k - n = -2. Let c(q) be the first derivative of k*q + 2/15*q**3 + 3/5*q**2 + 1. Let c(s) = 0. What is s?
-3, 0
Let z(l) be the third derivative of -59*l**6/30 + 19*l**5/5 + l**4/3 + 175*l**2. Factor z(k).
-4*k*(k - 1)*(59*k + 2)
Let x(a) = -a**2 + 31*a + 42. Let j be x(32). Suppose j*v**3 + 0 + 8/5*v - 8*v**2 = 0. Calculate v.
0, 2/5
Let w(u) be the first derivative of u**4/4 - 22*u**3/3 - u**2/2 + 22*u + 267. Factor w(r).
(r - 22)*(r - 1)*(r + 1)
Let k = 23133/5 + -4626. Let -6/5*q - 3/5 - k*q**2 = 0. What is q?
-1
Let d = 107/1557 - -546424/393921. Let k = d - 1/759. Determine f, given that -14/11*f**3 - k*f + 8/11 - 38/11*f**2 = 0.
-2, -1, 2/7
Let w(p) be the first derivative of 2*p**6/75 - 12*p - 3. Let q(r) be the first derivative of w(r). Factor q(s).
4*s**4/5
Let p(z) = z**5 - z**4 + z**3 - z. Let o(c) = 2*c**5 + 4*c**4 + 6*c**3 - 10*c**2 - 2*c. Let i(x) = o(x) - 6*p(x). Determine g so that i(g) = 0.
-1, 0, 1/2, 1, 2
Let z = 553/2815 + 2/563. Let f(j) be the third derivative of 3/40*j**4 + 0 - 1/100*j**5 - 3*j**2 - z*j**3 + 0*j. Factor f(c).
-3*(c - 2)*(c - 1)/5
Let i = 35546/44435 + 2/44435. Find q such that -2/5*q**2 - i + 6/5*q = 0.
1, 2
Let d be 12/9*((-84)/93 + 1). Let i = d - -26/279. Determine c so that 2/3 + 8/9*c + i*c**2 = 0.
-3, -1
Let g(f) be the second derivative of f**5/60 - 5*f**4/36 - 17*f**3/18 + 7*f**2/2 + 207*f. Factor g(t).
(t - 7)*(t - 1)*(t + 3)/3
Let c(p) be the third derivative of -p**8/15120 + p**7/315 - 11*p**6/540 + 19*p**5/60 + 30*p**2. Let w(f) be the third derivative of c(f). Factor w(l).
-4*(l - 11)*(l - 1)/3
Factor 2/11*g**3 + 6/11*g**2 + 2/11 + 6/11*g.
2*(g + 1)**3/11
Let n(v) = -16*v**2 + 14*v - 20. Let g(t) = -t**2 + 2*t. Let z(b) = -28*g(b) + 2*n(b). Suppose z(f) = 0. Calculate f.
-5, -2
Let h(m) be the second derivative of m**7/168 + m**6/120 - m**5/80 - m**4/48 - 3*m - 52. Let h(l) = 0. Calculate l.
-1, 0, 1
Let l be 7*(-10)/6*-3. Let x be ((-20)/l)/(6/(-21)). Let 1/2*c**3 - 1/2 - 1/2*c + 1/2*c**x = 0. What is c?
-1, 1
Let s be -3*(-5)/(-15) - -5. Let q be (-21)/(-4) + 3/(-12). Factor 4*r + r**2 + q - 2 - s + 5.
(r + 2)**2
Let j(z) = z**2 - 11*z - 58. Let i be j(15). Determine h, given that 0 + 1543*h**i + 12 + 8 - 1548*h**2 = 0.
-2, 2
Let j(y) be the third derivative of y**8/112 + y**7/70 - 7*y**6/20 + 13*y**5/10 - 19*y**4/8 + 5*y**3/2 + 347*y**2. Find o such that j(o) = 0.
-5, 1
Let r(k) be the third derivative of 3*k**8/448 + 17*k**7/280 - k**6/6 + 7*k**5/60 + 65*k**2. Find z such that r(z) = 0.
-7, 0, 2/3
Let 35/2*s + 11/2*s**2 + 25/2 + 1/2*s**3 = 0. Calculate s.
-5, -1
Let c(d) be the first derivative of -d**4/2 + d**2 + 218. Let c(s) = 0. What is s?
-1, 0, 1
Determine l so that -4*l - l**5 + 2*l**3 - 4*l + 7*l + 0*l = 0.
-1, 0, 1
Let v(d) be the second derivative of 31*d - 1/27*d**3 + 0*d**2 + 0 - 1/90*d**5 + 1/27*d**4. Factor v(m).
-2*m*(m - 1)**2/9
Factor 0 - 6*b + 2/5*b**2.
2*b*(b - 15)/5
Let g(h) = -13*h**2 - 35*h - 46. Let s(c) = 15*c**2 + 32*c + 45. Let z(w) = 7*g(w) + 6*s(w). Factor z(u).
-(u + 1)*(u + 52)
Let d be 2 + 0/(-2) + 83/1494*4. Solve d*i - 2/9*i**2 - 50/9 = 0.
5
Let p = 154 + -158. Let v be (7 + 4/p)/1 + -4. Solve 0 + 1/4*q**v + 0*q = 0.
0
Let r(i) be the third derivative of -1/360*i**5 + 0*i**4 - 6*i**2 + 0 + 1/180*i**6 + 0*i**3 + 0*i - 1/315*i**7. Factor r(u).
-u**2*(2*u - 1)**2/6
Let d = -8027/40 - -1009/5. Factor 0 - 15/8*g**3 + 0*g - 3/4*g**4 + d*g**2.
-3*g**2*(g + 3)*(2*g - 1)/8
Let t(k) be the second derivative of k**4/6 - 3*k**3 + 18*k**2 + 78*k. Determine v so that t(v) = 0.
3, 6
Let j(v) be the first derivative of v**5/10 - 3*v**4/8 - 3*v**3/2 - 5*v**2/4 - 90. What is k in j(k) = 0?
-1, 0, 5
Solve -2/15*c**4 - 294/5 - 112/5*c + 52/15*c**2 + 16/15*c**3 = 0.
-3, 7
Let j(i) be the first derivative of 9*i**3/7 + 3*i**2/7 - 42. Factor j(k).
3*k*(9*k + 2)/7
Let r(q) be the first derivative of -99*q**5/5 - 75*q**4/4 - 2*q**3 - 212. Find n, given that r(n) = 0.
-2/3, -1/11, 0
Suppose 0 = -2*s + o - 3 + 22, -3*o = -5*s + 48. Suppose -5*g - 4*p = -19, 5*p + 4 = s. Solve -2/9*u - 4/9*u**g + 2/3*u**2 + 0 = 0 for u.
0, 1/2, 1
Let p be 5/(25/2)*-5*29/(-58). Let -1/2*j**2 - p + 3/2*j = 0. Calculate j.
1, 2
Let k be 6/15 - 2/10. Let x be (-8)/(-2) - (-672)/(-210). Solve d + k*d**3 - 2/5 - x*d**2 = 0.
1, 2
Suppose 4*q = 3*a - 210, 0 = -5*a - 4*q - 101 + 483. Suppose -27 - 12 + a*y**2 - 71*y**2 + 36*y = 0. Calculate y.
-13, 1
Let u(g) be the first derivative of 2 + 2/3*g**3 - 1/2*g**2 - 1/4*g**4 + 0*g. Let u(f) = 0. Calculate f.
0, 1
Let d(r) = 6*r**3 + 55*r**2 - 81*r + 20. Let b(f) = 31*f**3 + 273*f**2 - 406*f + 102. Let s(i) = 4*b(i) - 22*d(i). Determine z so that s(z) = 0.
-16, 1/4, 1
Let u(n) be the third derivative of -6*n**5/5 + 95*n**4 - 9025*n**3/3 - 584*n**2. Determine l so that u(l) = 0.
95/6
Let f(r) = 2*r**4 + 4*r**3 + 4*r**2 - 8*r - 2. Let h(s) = -4*s**4 - 7*s**3 - 9*s**2 + 17*s + 3. Let a = 11 + -9. Let k(w) = a*h(w) + 5*f(w). Factor k(x).
2*(x - 1)*(x + 1)**2*(x + 2)
Factor 3*b - 7*b - 20*b - 40 - 8*b + 2*b - 5*b**2.
-5*(b + 2)*(b + 4)
Let a(g) be the third derivative of g**7/840 - g**6/120 + g**5/40 - 3*g**4/8 - 3*g**2. Let f(r) be the second derivative of a(r). Factor f(i).
3*(i - 1)**2
Let g = 56 + -8. Suppose 30*o**3 - 16*o**5 - 14*o**5 + 33*o**5 - g + 99*o**3 + 168*o - 33*o**4 - 219*o**2 = 0. What is o?
1, 4
Let k(j) be the third derivative of -j**5/20 - 11*j**4/8 - 15*j**3 - 319*j**2. Let k(c) = 0. What is c?
-6, -5
Let x(y) be the second derivative of -y**5/60 + 31*y**4/96 + y**3/3 - 16*y**2 - 24*y. Let v(z) be the first derivative of x(z). Factor v(n).
-(n - 8)*(4*n + 1)/4
Factor 90*x**2 + 8*x**3 + 5*x**5 - 22*x**3 - 40*x**4 + 15*x**3 - 29*x**3 - 27*x**3.
5*x**2*(x - 9)*(x - 1)*(x + 2)
Let u(n) = 100*n**4 + 222*n**3 + 183*n**2 + 68*n + 13. Let k(v) = v**3 + v**2 + v + 2. Let q(s) = 2*k(s) - u(s). Factor q(x).
-(2*x + 1)**2*(5*x + 3)**2
Suppose 0 = 11*k - 94 + 39. Let t(p) be the first derivative of 5/2*p**4 - 5*p**2 + 1 - k*p + 0*p**3 + p**5. Factor t(g).
5*(g - 1)*(g + 1)**3
Let h be (-13 + 22 + -9)/(-1). Solve h + 8/3*v + 4/3*v**2 = 0 for v.
-2, 0
Let n be (-4 + (-99)/(-3))*1. Let f = 38 - n. Factor -f*c**2 - 7*c**5 + 10*c**5 - 8*c**4 + 21*c**3 - 7*c**4.
3*c**2*(c - 3)*(c - 1)**2
Factor -14*g**2 - 65*g + 4*g**2 + 582 - 25*g**4 - 5*g**5 + 70*g**3 - 547.
-5*(g - 1)**3*(g + 1)*(g + 7)
Determine x so that -4*x**4 - x**4 - 2*x**3 + 8*x**2 + x**4 - 2*x**2 - 2 - 5*x**3 + 7*x = 0.
-2, -1, 1/4, 1
Let y(t) = -2*t**2 + 3*t + 3. Let x(s) = 25*s**2 - 35*s - 35. Let i(d) = -3*x(d) - 35*y(d). Factor i(b).
-5*b**2
Let t(a) = -4*a**4 + 16*a**3 - 26*a**2 + 14*a - 4. Let u(i) = -i**4 + i**3 + i**2 - i - 2. Let b(h) = -2*t(h) + 4*u(h). Factor b(q).
4*q*(q - 4)*(q - 2)*(q - 1)
Let s(j) be the first derivative of -j**4/6 - 11*j**3/9 + 4*j**2/3 + 30*j - 43. Let a(i) be the first derivative of s(i). Factor a(g)