of -1/32*z**4 - 1/120*z**5 + 0 + 3*z**2 + 0*z - q*z**3. Factor u(f).
-(f + 1)*(2*f + 1)/4
Let x = 15 + -11. Let s = 15 - 9. Solve s*t**2 - x*t + t + 0*t - 3*t**3 = 0.
0, 1
Determine w so that 1/2*w**4 + w**3 + 0*w - 3/2*w**2 + 0 = 0.
-3, 0, 1
Suppose -x = 5, -8*v = -3*v - 3*x - 30. Let b(z) be the second derivative of 1/12*z**4 + 0*z**2 + 0 - 3*z + 1/15*z**v. Factor b(g).
g*(5*g + 2)/5
Let l(r) = -48*r - 13. Let a be l(1). Let b = a - -63. Solve -2/9*t**3 - 4/9*t + 0 + 2/3*t**b = 0 for t.
0, 1, 2
Let h be (-8)/408*6 + 124/476. Find f, given that 4/7*f**2 + h*f**3 + 5/7*f + 2/7 = 0.
-2, -1
Let w(p) be the first derivative of 1/21*p**2 + 1/14*p**4 + 0*p - 25 + 2/21*p**3 + 2/105*p**5. Factor w(n).
2*n*(n + 1)**3/21
Let t = -4/295 - -179/8850. Let y(d) be the third derivative of 0*d + 1/15*d**3 - d**2 - t*d**5 - 1/300*d**6 + 0 + 1/60*d**4. Determine a, given that y(a) = 0.
-1, 1
Let c(r) = r**4 + r + 1. Let l(z) = 10*z**4 + 40*z**3 + 165*z**2 + 35*z - 205. Let k(s) = 15*c(s) - l(s). Factor k(f).
5*(f - 11)*(f - 1)*(f + 2)**2
Let i(b) = -3*b - 92. Let g be i(-30). Let c be g/(-10)*(-200)/(-15). Factor 1/3*a**2 + 5/3*a**3 + 4/3 - c*a - 1/3*a**4 - 1/3*a**5.
-(a - 1)**3*(a + 2)**2/3
Let o(j) be the second derivative of 0 + 0*j**4 - 1/300*j**5 - 1/2*j**2 + 1/600*j**6 - j + 0*j**3. Let z(g) be the first derivative of o(g). Factor z(i).
i**2*(i - 1)/5
Factor -17/5*u**2 + 0*u + 0 - 1/5*u**3.
-u**2*(u + 17)/5
Let b(x) be the second derivative of -x**6/10 - 9*x**5/10 + 15*x**4/4 - 4*x**3 - 9*x - 1. Solve b(r) = 0.
-8, 0, 1
Let t be (36/(-30))/((-3)/(-15)). Let n be (-2*1)/(((-4)/t)/(-1)). Determine a so that -2/3*a + 2/3*a**2 - 2/3*a**4 + 0 + 2/3*a**n = 0.
-1, 0, 1
Let l(c) = 2*c + 10. Let t be l(-3). Suppose 3*j + 12 = 2*p, -4*j - 1 - t = p. Factor -2*i**5 + 6 - 6*i**4 + 0*i**5 + 4*i**2 - 1 - 3 + 6*i - 4*i**p.
-2*(i - 1)*(i + 1)**4
Let y(d) be the second derivative of d**9/4536 - d**8/630 - d**7/630 + d**6/45 + d**5/20 - d**3/6 - 9*d. Let t(p) be the second derivative of y(p). Factor t(k).
2*k*(k - 3)**2*(k + 1)**2/3
Let q(i) be the first derivative of -i**4/3 - 2*i**3 - 4*i**2 + 12*i + 15. Let c(w) be the first derivative of q(w). What is v in c(v) = 0?
-2, -1
Let i(s) = 23*s**2 + 70*s + 37. Let p(k) = -4*k**2 - 12*k - 6. Let v(w) = -6*i(w) - 34*p(w). Factor v(d).
-2*(d + 3)**2
Suppose f + 0*f - 17 = -4*t, 2*t - 2*f = -4. Factor -8 + 7*p - p**3 - 19*p + 8*p**3 - 3*p**t.
4*(p - 2)*(p + 1)**2
Let g(c) = 2 + c - 2*c - 5. Let a be g(-8). Factor 9*j**3 - 12*j**4 - 5*j**2 + 3*j**4 + 0*j**2 + 2*j**2 + 3*j**a.
3*j**2*(j - 1)**3
Let y(t) be the third derivative of 0 - 4/15*t**5 - 5*t**2 - 4/3*t**3 + 0*t + 5/6*t**4 + 1/30*t**6. Factor y(w).
4*(w - 2)*(w - 1)**2
Let q(m) be the first derivative of 3*m**4/2 - 20*m**3/3 - 23*m**2 - 20*m + 368. Factor q(a).
2*(a - 5)*(a + 1)*(3*a + 2)
Let o(u) = -12*u**3 - 6*u**2 - 231*u + 663. Let w(a) = -5*a**3 - 3*a**2 - 116*a + 332. Let d(h) = 4*o(h) - 9*w(h). Factor d(t).
-3*(t - 4)**2*(t + 7)
Suppose 0 = -14*q + 116 - 116. Let m(p) be the second derivative of 0 + q*p**2 + 2/15*p**3 + 3*p + 1/15*p**4. Suppose m(j) = 0. What is j?
-1, 0
Let d(v) be the first derivative of v**4/4 + 5*v**3 + 13*v**2 + 300. Determine i so that d(i) = 0.
-13, -2, 0
Let y(u) be the third derivative of u**6/120 - u**4/8 + 5*u**2 + 3*u. Let d be y(2). What is s in 2/7*s**d - 2/7*s - 4/7 = 0?
-1, 2
Let x be 3 - (10/(-8) + (-3)/(-12)). Suppose x*c = 10 + 2. Solve -216/11*z**4 - 24/11*z**2 + 162/11*z**5 + 108/11*z**c + 0 + 2/11*z = 0.
0, 1/3
Let z(r) = r**3 - 7*r**2 - 20*r + 65. Let x be z(8). Let c = 95/3 + x. Factor 2/3 - c*h + 1/6*h**2.
(h - 2)**2/6
Let p(b) be the first derivative of 0*b**2 + 5 + 1/30*b**3 + 4*b + 1/60*b**4. Let t(v) be the first derivative of p(v). Factor t(a).
a*(a + 1)/5
Let y(s) = 36*s**2 - 8*s + 28. Let x(c) = -4*c**2 + c - 3. Let m be 1 + -28 - -1 - 2. Let d(q) = m*x(q) - 3*y(q). Factor d(n).
4*n*(n - 1)
Find d such that 48*d - 49*d**2 + 7*d**4 + 9*d**2 + 0*d**2 - 4*d**3 - 2*d**5 + 3*d**4 = 0.
-2, 0, 2, 3
Let p be -5 + (-9)/(1 - 4). Let x be p - 1/((-1)/2). Determine t so that x - 2*t**3 + 4/3*t**2 + 2/3*t = 0.
-1/3, 0, 1
Let d(a) = -a**3 + 153*a**2 - 303*a + 151. Let h be d(151). Factor 9/8*j**2 - 3/8*j**5 - 21/8*j**3 + 15/8*j**4 + h*j + 0.
-3*j**2*(j - 3)*(j - 1)**2/8
Let l be 2 - (4 - 6/6). Let x(y) = 1. Let i(k) = 2*k**3 - 8*k - 16 + 16*k**2 - 6*k**3 - 4*k. Let w(q) = l*i(q) - 16*x(q). Factor w(h).
4*h*(h - 3)*(h - 1)
Let h(l) be the third derivative of l**5/100 + 35*l**4/24 - 59*l**3/15 + 31*l**2. Factor h(j).
(j + 59)*(3*j - 2)/5
Determine l, given that -8015*l**4 - 5*l - 30 + 65*l**2 - 7*l**3 + 8000*l**4 + 14*l**3 + 18*l**3 = 0.
-1, 2/3, 3
Let l(t) = t**2 + 341*t + 7390. Let h(z) = -4*z**2 - 1024*z - 22172. Let b(p) = -3*h(p) - 8*l(p). Let b(u) = 0. What is u?
-43
Let j(k) = -3*k**4 + 6*k**3 + 20*k**2 + 16*k + 4. Let a(m) = -m**4 + 2*m**2 + 2*m + 1. Let t(p) = -4*a(p) + j(p). Factor t(l).
l*(l + 2)**3
Let k(s) = -s**3 - 19*s**2 + 164*s - 446. Let b be k(-26). Find m, given that 18*m**3 - b*m - 6 + 53/2*m**2 = 0.
-2, -2/9, 3/4
Let u(s) = -s**5 - 5*s**4 + 7*s**3 - 3*s**2 - 2*s + 2. Let l(n) = 6*n**5 + 25*n**4 - 35*n**3 + 15*n**2 + 11*n - 11. Let d(r) = -6*l(r) - 33*u(r). Factor d(o).
-3*o**2*(o - 3)*(o - 1)**2
Let l(p) be the second derivative of p**4/16 - 2*p**3 + 45*p**2/8 - 120*p. Factor l(n).
3*(n - 15)*(n - 1)/4
Let r(s) be the third derivative of -s**5/15 + 49*s**4/3 + 66*s**3 - 229*s**2. Factor r(z).
-4*(z - 99)*(z + 1)
Let s = 20287/42 + -483. Let a(o) be the second derivative of 0 - 2/21*o**3 - 1/7*o**2 - s*o**4 + o. Find y, given that a(y) = 0.
-1
Let a = 11 + 215. Let v = 1134/5 - a. Determine d, given that -v*d**4 + 2/5 + 4/5*d**3 - d + 1/5*d**5 + 2/5*d**2 = 0.
-1, 1, 2
Let n = 1133 + -46449/41. Let q = 46/369 + n. Factor 4/9*b**2 - 1/9*b**3 + q - 5/9*b.
-(b - 2)*(b - 1)**2/9
Determine u, given that -13/4*u - 35/4*u**2 + 13/4*u**3 + 9 - 1/4*u**4 = 0.
-1, 1, 4, 9
Let p = -69 - -109. Suppose -p = -5*a - 0*a + 5*n, -2*a = -n - 11. Factor 22/15*l**a - 4/15*l**2 - 32/15*l**4 + 14/15*l**5 + 0 + 0*l.
2*l**2*(l - 1)**2*(7*l - 2)/15
Let v(b) = 2*b**4 - 1 - 6*b**2 - 2 - 1. Let n(f) = -18*f - 40. Let l be n(-2). Let o(x) = 2*x**4 - 7*x**2 - 5. Let u(m) = l*o(m) + 5*v(m). Factor u(p).
2*p**2*(p - 1)*(p + 1)
Let y(i) be the first derivative of -3/13*i**2 - 2 + 8/39*i**3 + 0*i - 1/26*i**4. Factor y(h).
-2*h*(h - 3)*(h - 1)/13
Factor 2/3*f**2 - 4 - 10/3*f.
2*(f - 6)*(f + 1)/3
Let d = -1325 - -1325. Let o(u) be the third derivative of 1/1995*u**7 + 0*u**4 + 0*u**3 + d + 0*u + 1/1140*u**6 - 5*u**2 - 1/285*u**5. Factor o(k).
2*k**2*(k - 1)*(k + 2)/19
Let u(s) be the third derivative of 1/36*s**4 + 2*s**2 - 1/180*s**6 + 0*s + 0 + 1/90*s**5 + 0*s**3 - 1/315*s**7. Let u(w) = 0. Calculate w.
-1, 0, 1
Factor -57*t**3 - 5*t**4 + 2*t**2 + 32*t**2 - 4*t**2 + 52*t**3.
-5*t**2*(t - 2)*(t + 3)
Let n(z) be the first derivative of -1/2*z**2 + 11 + 5/84*z**4 + 2/7*z**3 + 1/210*z**5 + 0*z. Let c(y) be the second derivative of n(y). What is m in c(m) = 0?
-3, -2
Let m(p) be the first derivative of 2/9*p**3 - 2/3*p**2 - 2*p + 19. What is j in m(j) = 0?
-1, 3
Let t(n) = 86*n + 89. Let h be t(-1). Let -3/2*f**2 + 2*f**h - 1/2*f**4 + 0 + 0*f = 0. Calculate f.
0, 1, 3
Suppose -86*x + 279 - 21 = 0. Let g(b) be the third derivative of 3*b**2 - 1/132*b**4 + 0*b + 0*b**x + 1/330*b**5 + 0. Factor g(z).
2*z*(z - 1)/11
Let t(k) = k**3 - 2*k**2 - 1. Let l be t(4). Suppose 5*s + l = 31. Factor -2/5*m**3 + 2/5*m**4 + 2/5*m - 2/5*m**2 + s.
2*m*(m - 1)**2*(m + 1)/5
Let p(q) be the second derivative of 1/60*q**6 + 0*q**3 + 0*q**4 + 1/30*q**5 + 0 + 1/2*q**2 + 2*q. Let i(m) be the first derivative of p(m). Factor i(d).
2*d**2*(d + 1)
Let j be 16/3 - (8/6)/4. Find m, given that -17*m - 7*m + 2*m**2 - 1 - j*m**2 + 20*m = 0.
-1, -1/3
Let x = -84 + 125. Let t = x - 121/3. What is w in t - 2/3*w**2 + 0*w = 0?
-1, 1
Let s = -48 + 34. Let o be 8/s - (-7 + 5). Factor -2/7*k**2 + o*k - 2/7*k**3 - 6/7.
-2*(k - 1)**2*(k + 3)/7
Let l(n) be the second derivative of n**4/4 + 10*n**3 - 63*n**2/2 + 25*n. Factor l(o).
3*(o - 1)*(o + 21)
Find m such that -36 - 21*m**2 + 50*m + 7*m + m**3 - 13*m + 12*m = 0.
1, 2, 18
Let g be (-7)/21 - (-32)/6. Solve g + 12*p**2 - p - 10*p - 4*p - 2