r) be the first derivative of 3/5*r**5 + 3/2*r**4 + 0*r**3 + 12 + 0*r + 0*r**2. Factor g(q).
3*q**3*(q + 2)
Factor 8/9*z**2 + 4/3 - 2/9*z**3 + 22/9*z.
-2*(z - 6)*(z + 1)**2/9
Factor a**3 + 24*a**2 + 5*a**4 + 19*a**3 - 4*a + 3*a**4 + 8*a**3 - 8.
4*(a + 1)**2*(a + 2)*(2*a - 1)
Let 14700 - 198*p**3 + 11436*p + 3*p**4 + 7839*p - 5415*p + 2847*p**2 = 0. What is p?
-2, 35
Let l(n) = -6*n**3 - 24*n**2 - 70*n + 95. Let c(i) = 5*i**3 + 23*i**2 + 72*i - 96. Let k(g) = 5*c(g) + 4*l(g). Factor k(f).
(f - 1)*(f + 10)**2
Suppose -41 = -16*y + 23. Let f(l) be the first derivative of y - 7/10*l**2 + 2/5*l - 4/15*l**3. Factor f(a).
-(a + 2)*(4*a - 1)/5
Let i = -2 - -71. Suppose 5*u - 80 = 2*c, c = -3*u - 2*c + i. Solve 4 + r**3 - 4*r**2 + 7*r**3 + 15*r**3 - u*r - 5*r**3 = 0.
-1, 2/9, 1
Let a(x) be the third derivative of -x**6/180 + x**5/15 - x**4/3 + 7*x**3/6 + 26*x**2. Let p(t) be the first derivative of a(t). Factor p(b).
-2*(b - 2)**2
Let h(x) = -x**3 - x**2 + x + 64. Let p be h(0). Let o be (3 - p/11) + 3. Factor -2/11*t**5 - 2/11*t**4 + o*t**2 + 0*t + 2/11*t**3 + 0.
-2*t**2*(t - 1)*(t + 1)**2/11
Suppose -3*y = -5*k + 39, -4*y + 3*y - 9 = -k. Suppose -2*x + k = -0. Factor -2/5*g**x - 2*g**2 - 8/5 - 16/5*g.
-2*(g + 1)*(g + 2)**2/5
Find u, given that -160/11*u**2 + 212/11*u**4 - 18/11*u**5 - 282/11*u - 52/11 + 300/11*u**3 = 0.
-1, -2/9, 1, 13
Let v(q) be the first derivative of -2*q**3/3 + 10*q**2 - 18*q - 201. Factor v(d).
-2*(d - 9)*(d - 1)
Let r(o) be the second derivative of -7*o**6/30 - o**5/4 + 3*o**4/4 + 5*o**3/6 - o**2 - 113*o. Determine h, given that r(h) = 0.
-1, 2/7, 1
Let j(n) be the first derivative of -n**4/12 + n**3/3 - n**2/2 - 4*n - 28. Let i(f) be the first derivative of j(f). Determine v so that i(v) = 0.
1
Let c(k) be the second derivative of k**10/60480 + k**9/10080 + k**8/6720 + k**4/3 - 3*k. Let p(l) be the third derivative of c(l). Find y such that p(y) = 0.
-2, -1, 0
Let p(t) = 2*t**2 + 27*t + 15. Let d be p(-13). Suppose -d*w = 2*w - w. Factor 6/5*u**3 + 2/5*u**4 + w + 6/5*u**2 + 2/5*u.
2*u*(u + 1)**3/5
Let t = -7 - -2. Let f = -1 - t. Factor -2*a**4 + 6*a**5 - 3*a**5 + 6*a**2 - 4*a**4 + 0*a**f - 3*a.
3*a*(a - 1)**3*(a + 1)
Let g(a) = 94*a - 3196. Let b be g(34). Factor 0*k - 1/2*k**2 + b.
-k**2/2
Let c(k) = 78*k**2 - 61*k + 251. Let y(z) = -14*z**2 + 12*z - 50. Let q(l) = 2*c(l) + 11*y(l). Let q(a) = 0. Calculate a.
-8, 3
Let s(j) = -5*j**3 - 101*j**2 + 106*j. Let d(g) = -2*g**3 - 34*g**2 + 36*g. Let w(i) = 8*d(i) - 3*s(i). Factor w(a).
-a*(a - 30)*(a - 1)
Suppose -20 = 2*l - 76. Let v = l + -24. Find a, given that -3/5*a**2 - 2/5*a + 1/5*a**v + 0*a**3 + 0 = 0.
-1, 0, 2
Let b(c) be the first derivative of -5*c**8/336 + c**6/8 - c**5/6 - 15*c**2/2 - 2. Let y(f) be the second derivative of b(f). Determine h, given that y(h) = 0.
-2, 0, 1
Let p(c) be the first derivative of -c**5/30 + 4*c**4/3 - 64*c**3/3 - c**2/2 - 4. Let w(m) be the second derivative of p(m). Factor w(j).
-2*(j - 8)**2
What is p in 5*p**2 + 1/5*p**3 - 5 - 1/5*p = 0?
-25, -1, 1
Let j be (-2)/4 - (-131)/(-2). Let l = j - -133/2. Factor -5/2*f - l*f**3 + 1 + 2*f**2.
-(f - 2)*(f - 1)**2/2
Factor -5*y**2 - 1/2*y**3 - 10 - 29/2*y.
-(y + 1)*(y + 4)*(y + 5)/2
Let m(r) be the third derivative of r**6/210 + 13*r**5/105 - r**4/42 - 26*r**3/21 + 186*r**2. Let m(f) = 0. What is f?
-13, -1, 1
Let j be (-5)/(-145) + 4/(-116). Factor 2/3*n**3 - 4/3*n**2 + j + 2/3*n.
2*n*(n - 1)**2/3
Suppose -4*r + 0*r = -8. Let y(l) be the first derivative of 0*l - l**4 - 24/5*l**5 + 8/3*l**3 + 3*l**6 - 7 + l**r. Let y(n) = 0. What is n?
-1/3, 0, 1
Suppose p - 2*k = -1, 5*p + k - 7409 = -7381. Factor -2/5*c**4 + 0 + 0*c - 2/5*c**p + 2/5*c**2 + 2/5*c**3.
-2*c**2*(c - 1)*(c + 1)**2/5
Let j(b) be the first derivative of b**4 - 3/10*b**5 - 9*b - 5/3*b**3 + 1/30*b**6 - 14 + 3/2*b**2. Let r(o) be the first derivative of j(o). Factor r(q).
(q - 3)*(q - 1)**3
Let t(y) = 4*y**3 + 4*y**2 + 2*y - 1. Let f(q) = 15*q - q**2 - 25*q + 9*q - q**3. Let m(z) = -3*f(z) - t(z). Factor m(w).
-(w - 1)*(w + 1)**2
Let b(p) be the third derivative of p**7/280 - 3*p**3/2 - 6*p**2. Let i(v) be the first derivative of b(v). Find o, given that i(o) = 0.
0
Let w(v) = -10*v**2 - 4*v + 14. Suppose 3*p - 5*m - 28 = 0, -7*m + 4*m = 5*p - 24. Let i(r) = -2*r**2 - r + 3. Let k(j) = p*w(j) - 28*i(j). Factor k(x).
-4*x*(x - 1)
Let n(j) be the second derivative of -13*j**4/4 + 35*j**3/6 + 9*j**2/2 - 2*j + 3. Let h(m) = 19*m**2 - 17*m - 4. Let q(s) = -10*h(s) - 4*n(s). Factor q(k).
-2*(k - 1)*(17*k + 2)
Let y = 0 + 3. Let g(c) be the first derivative of 6*c**y + 0*c + 1 - 2/5*c**5 + 9/2*c**4 + 2*c**2 - c**6. Solve g(v) = 0 for v.
-1, -1/3, 0, 2
Let f(c) be the first derivative of c**6/3 - 2*c**5/5 - 5*c**4/2 + 2*c**3/3 + 8*c**2 + 8*c - 776. Let f(t) = 0. What is t?
-1, 2
Let l(a) be the third derivative of a**9/12096 + a**8/4032 + a**5/5 - 5*a**2. Let y(d) be the third derivative of l(d). What is u in y(u) = 0?
-1, 0
Let p(c) be the third derivative of 19*c**6/280 + 39*c**5/70 + 3*c**4/2 + 4*c**3/7 + 3*c**2 - 5. Let p(v) = 0. What is v?
-2, -2/19
Let k(h) be the third derivative of -h**5/15 - 3*h**4/7 - 16*h**3/21 + 114*h**2. Factor k(s).
-4*(s + 2)*(7*s + 4)/7
Let p be 58/18 + (-14)/63. Factor -6*j**4 - p*j**2 - 2*j + 14*j**4 - 7*j**4 + 2*j**3 + 2*j**2.
j*(j - 1)*(j + 1)*(j + 2)
Let z = 11033 + -11031. Suppose -b + 0 + 5/4*b**3 + 2*b**z = 0. Calculate b.
-2, 0, 2/5
Let x(y) = 5*y**2 - y - 2. Let u be x(-2). Let w = u - 18. Factor -3*d + 2*d**w - 2*d + 57 - d - 53.
2*(d - 2)*(d - 1)
Let z(l) be the third derivative of -1/20*l**4 + 1/15*l**3 + 1/50*l**5 + 17*l**2 + 0 + 0*l - 1/300*l**6. Factor z(v).
-2*(v - 1)**3/5
Let n(c) be the first derivative of -5*c**3 + 5/4*c**4 - 5/2*c**2 + 15 + 10*c + c**5. Factor n(b).
5*(b - 1)**2*(b + 1)*(b + 2)
Let c = 2911/4 - 721. Find u such that 27/2*u**3 - c*u**4 + 3/2*u - 33/4*u**2 + 0 = 0.
0, 1/3, 2/3, 1
Suppose 4*j - 5*j = -5*o - 3, -9 = -3*j + 2*o. Suppose 7 + j = 5*g. Factor 9*h**g + 4*h - 6*h - 4*h + 15*h**3.
3*h*(h + 1)*(5*h - 2)
Factor 0 - 127/2*o**2 - 16129/4*o - 1/4*o**3.
-o*(o + 127)**2/4
Let u = 35 + -33. Factor 3*x**2 + 0*x**2 - 4 - x**2 - u*x.
2*(x - 2)*(x + 1)
Suppose 81 - 85 = -2*o. Let b(z) be the first derivative of -1/4*z**4 + 1 - o*z**3 - 6*z**2 - 8*z. Factor b(h).
-(h + 2)**3
Let z(c) be the first derivative of -c**5/10 - c**4/8 + c**3/2 + c**2/4 - c + 59. Solve z(o) = 0.
-2, -1, 1
Let z = 1 - -13. Let w be ((-8)/14)/((-4)/z). Factor -3/2*i**w - 6 + 6*i.
-3*(i - 2)**2/2
Let g = -2845 + 2849. Solve 0*q + 0 - 1/5*q**g + 1/5*q**2 + 0*q**3 = 0.
-1, 0, 1
Suppose 46 = 3*d + 31. Suppose -29 = -5*r - 4. Determine b so that -29*b**5 + 28*b**r + 8 - 278*b**3 - 64*b + 194*b**2 + 190*b**4 - 49*b**d = 0.
2/5, 1
Suppose -i - 3*i - 84 = 0. Let n(t) = -6*t**3 - 5*t**2 + 15*t - 11. Let w(y) = y**3 - y + 1. Let l(s) = i*w(s) - 3*n(s). Factor l(v).
-3*(v - 2)**2*(v - 1)
Let m(y) = y**2 - 29*y - 16. Let g(n) = 2*n**2 - 72*n - 40. Let c(x) = 5*g(x) - 12*m(x). Let v be c(-5). Solve -11/5*k + 2/5 + 12/5*k**v = 0 for k.
1/4, 2/3
Let j = 5/608 + 593/1824. Let h(b) be the second derivative of 4*b**2 + 2/3*b**3 + 0 - j*b**4 + b. Factor h(s).
-4*(s - 2)*(s + 1)
Let i(l) be the second derivative of -l**7/21 + 2*l**6/15 + l**5/5 - 4*l**4/3 + 7*l**3/3 - 2*l**2 + 36*l - 3. Factor i(t).
-2*(t - 1)**4*(t + 2)
Let i = 32 + -23. Suppose 0 = m + 2*m - i. Find j, given that 1 + 2 + m*j**2 + 6 - 12*j = 0.
1, 3
Let u(j) be the first derivative of 2/19*j - 2/19*j**2 + 0*j**3 + 1/19*j**4 + 20 - 2/95*j**5. Solve u(v) = 0.
-1, 1
Let j be ((-6)/(-8))/((-15)/(-100)). Suppose -8 = j*o + 5*d + 2, -4 = -4*o - d. Find a, given that 3*a**2 - 9 + 12*a + o*a**2 - 8*a**2 = 0.
1, 3
Let d(y) = 3*y**3 + 117*y**2 + 1519*y + 6591. Let c(x) = 3*x**3 + 117*x**2 + 1518*x + 6591. Suppose 3*r - 8 = -r. Let k(p) = r*c(p) - 3*d(p). Factor k(h).
-3*(h + 13)**3
Suppose 8 = 4*v - 0*v. Determine o so that 3*o**3 - 4*o - 2*o**4 + 4*o + 4*o - 10*o**v + 5*o**3 = 0.
0, 1, 2
Let o(j) be the first derivative of 0*j**2 + 1/30*j**5 - 4/3*j**3 + 1/180*j**6 + 0*j + 0*j**4 - 3. Let s(m) be the third derivative of o(m). Factor s(r).
2*r*(r + 2)
Let q = 17 + -3. Let p = 16 - q. Determine u so that -2*u**4 + 2*u - 3*u**2 - u**2 - 2*u**p + 6*u**3 = 0.
0, 1
Let 