 - 46*p**2. Factor r(b).
3*b*(b + 12)/7
Let d(h) = h**4. Let u(m) = -52*m**2 - 5*m + 16*m**5 + 16*m - 64*m**4 - 3*m + 96*m**3. Let z(a) = 4*d(a) - u(a). Determine y so that z(y) = 0.
0, 1/4, 1, 2
Let u(l) be the first derivative of -l**4/40 + l**3/6 - 2*l**2/5 + 2*l/5 + 28. Factor u(s).
-(s - 2)**2*(s - 1)/10
Let c be (-202)/3*9/(-6). Find d such that 3 + c*d - 8*d**2 - 3 - 97*d - 12*d**3 = 0.
-1, 0, 1/3
Let n(i) = -i**3 - i**2 + 251*i + 738. Let c be n(-3). Let 0 + 0*b + 12/5*b**2 + 12/5*b**c - 9/5*b**5 - 3*b**4 = 0. What is b?
-2, -2/3, 0, 1
Let f(d) be the second derivative of d**8/1344 - d**7/504 - d**6/144 + d**5/24 + 4*d**4/3 + 19*d. Let a(p) be the third derivative of f(p). Factor a(t).
5*(t - 1)**2*(t + 1)
Let j(x) be the second derivative of 0 - 31*x + 55/3*x**6 + 0*x**2 + 125/42*x**7 + 141/4*x**5 + 10/3*x**3 + 55/3*x**4. Let j(t) = 0. Calculate t.
-2, -1/5, 0
Let q(w) be the second derivative of 0 + 11*w + 0*w**2 + 0*w**4 + 0*w**3 + 1/50*w**5. Factor q(s).
2*s**3/5
Let x(v) be the first derivative of v**3 - 6*v**2 + 12*v - 168. What is w in x(w) = 0?
2
Suppose 1/2*s**5 + 0*s**2 + 1/5*s**3 + 7/10*s**4 + 0*s + 0 = 0. Calculate s.
-1, -2/5, 0
Factor -16*w**3 - 8*w**2 + 8*w**4 + 627 + 4*w**5 + 12*w - 627.
4*w*(w - 1)**2*(w + 1)*(w + 3)
Let x(d) = -d**2 + 8*d + 1. Let i be x(7). Suppose 3*m + 2*g - 6 = 0, 0*m - 3*g = -4*m + i. Let -m + 8 - 5 + 1 + 2*c**2 + 4*c = 0. What is c?
-1
Factor -951/4*w - 375/2*w**2 + 27/4*w**3 - 87/2.
3*(w - 29)*(w + 1)*(9*w + 2)/4
Let b(v) be the third derivative of -7*v**2 - 1/3*v**3 + 1/30*v**5 + 0*v**4 + 0 + 0*v. Factor b(j).
2*(j - 1)*(j + 1)
Factor -6/5*h**2 - 2/5 + 8/5*h.
-2*(h - 1)*(3*h - 1)/5
Let t(u) be the third derivative of -20*u**2 - 3/140*u**5 + 2/21*u**3 + 1/120*u**6 + 0 - 1/14*u**4 + 0*u. Factor t(s).
(s - 2)*(s + 1)*(7*s - 2)/7
Let m(i) be the first derivative of -i**4/4 - i**3 - i**2 - 87. Find o such that m(o) = 0.
-2, -1, 0
Let k(q) = 4*q**4 + 31*q**3 + 49*q**2 - 69*q + 20. Let j(z) = -3*z**4 - 16*z**3 - 26*z**2 + 34*z - 10. Let y(p) = 5*j(p) + 3*k(p). Solve y(w) = 0 for w.
-2, 1/3, 1, 5
Let r(z) = -5*z**3 - 10*z**2 - z - 2. Let h(b) = -2*b**2 + 2*b + 3*b**3 + 13*b**2 - b**3 + 2 + 4*b**3. Let q(x) = -6*h(x) - 7*r(x). Factor q(s).
-(s - 2)*(s - 1)**2
Let i(v) be the second derivative of -32/3*v**3 - 1/15*v**5 - 4/3*v**4 - 128/3*v**2 + 0 - 3*v. Solve i(h) = 0.
-4
Let h(k) = 9*k**2 - 382*k + 19602. Let d(v) = -5*v**2 + 190*v - 9801. Let u(m) = 7*d(m) + 4*h(m). Factor u(q).
(q - 99)**2
Let o(z) be the third derivative of z**4/8 - z**3 - 9*z**2. Let w be o(5). Factor -5*u**3 - w*u**2 + 6*u**4 + 13*u**4 - 4*u**4 - u**2.
5*u**2*(u - 1)*(3*u + 2)
Let x = 43810/8211 - 6/2737. Find q, given that x*q**4 + 0 - 20/9*q**5 + 44/9*q**3 - 8/3*q**2 + 0*q = 0.
-1, 0, 2/5, 3
Let u be (36/(-16))/(1/(-4)). Suppose -5*x + 3*r = -8, -3*x - 2*x = -4*r - u. Solve c**2 + c - 1 - 3 + x + 2 - c**3 = 0 for c.
-1, 1
Let s(w) be the first derivative of -w**3/3 - 84*w**2 - 7056*w - 266. Factor s(g).
-(g + 84)**2
Let m(s) be the third derivative of -s**7/1365 + 4*s**6/195 - 23*s**5/195 - 12*s**4/13 - 27*s**3/13 + 178*s**2. Determine i, given that m(i) = 0.
-1, 9
Suppose 10 = m + 17. Let n be m/(-1)*(5 + -4). Solve 13*r**3 + r - 5*r**3 - n*r**3 + 2*r**2 = 0 for r.
-1, 0
Let z be 1 + 8 + 12/(-4). Let w(v) be the second derivative of -v - 1/6*v**4 + 0 + 2/21*v**3 + 1/147*v**7 + 9/70*v**5 - 1/21*v**z + 0*v**2. Factor w(g).
2*g*(g - 2)*(g - 1)**3/7
Let g(q) = 140*q + 562. Let d be g(-4). Factor -16/9 - 2/9*r**d + 2*r.
-2*(r - 8)*(r - 1)/9
Let i(d) be the second derivative of d**6/120 - 3*d**5/16 + 21*d**4/16 - 85*d**3/24 + 9*d**2/2 + d + 30. Factor i(a).
(a - 9)*(a - 4)*(a - 1)**2/4
Let p(m) = m + 2. Let o be p(0). Determine w so that 5*w + o*w**4 - 21*w - 12*w**2 - 5 + 3 - 4 = 0.
-1, 3
Suppose 4*p + 3*l = 8, 5*l = p + p - 4. Suppose -16 = -4*n - p*k, -4*n + k + k = -8. Find i such that 0*i**2 + 1 + 1/2*i**n - 3/2*i = 0.
-2, 1
Let v(l) = -25*l**3 + 13*l**2 + 12*l - 7. Suppose 4*p + 1 = -19. Let o(k) = 17*k**3 - 9*k**2 - 8*k + 5. Let b(m) = p*v(m) - 7*o(m). Factor b(x).
2*x*(x - 1)*(3*x + 2)
Let f(a) = 1 + 3 + 1 - 8*a - 3*a**2. Let r(t) = 6*t**2 + 15*t - 9. Suppose -q - 112 + 117 = 0. Let u(d) = q*r(d) + 9*f(d). Factor u(j).
3*j*(j + 1)
Let t(z) be the first derivative of 25*z**4/8 + 45*z**3/2 + 75*z**2/2 + 20*z - 737. Factor t(m).
5*(m + 1)*(m + 4)*(5*m + 2)/2
Let x = 0 + 4. Let o(b) = 3*b**2 - b. Let s be o(1). Factor 4*v**4 - 9*v**4 - 5*v**3 - v + 3*v**x - 4*v**s.
-v*(v + 1)**2*(2*v + 1)
Factor 4*p**3 - 33*p**2 + 63*p**2 - 50*p**2.
4*p**2*(p - 5)
Let g(l) = -37*l + 407. Let o be g(11). What is h in 3/5*h**3 + o + 3/5*h + 6/5*h**2 = 0?
-1, 0
Suppose b + 3*a = 5*a - 5, 13 = -3*b + 5*a. Let l(v) = -3*v**5 - v**4 - v**3 - 3*v**2 + 4. Let h(d) = -d**4 - d**3 + 1. Let m(j) = b*l(j) + 4*h(j). Factor m(x).
3*x**2*(x - 1)**2*(x + 1)
Let d be (10/(-6))/(((-95)/(-6))/(-19)). Let x(t) be the second derivative of 1/8*t**d - 1/48*t**4 + 0 + 2*t + 0*t**3. Factor x(c).
-(c - 1)*(c + 1)/4
Let d = -46 - -49. Let n(j) = 83*j**2 + 89*j + 24. Let v(p) = -167*p**2 - 177*p - 48. Let l(a) = d*v(a) + 7*n(a). Factor l(t).
4*(4*t + 3)*(5*t + 2)
Let p(a) be the first derivative of -a**3/15 + 22. Let p(m) = 0. What is m?
0
Let i(v) = -v**3 + v**2. Let n = -78 - -74. Let s(r) = 9*r**3 - 9*r**2. Let p(j) = n*i(j) - s(j). Factor p(h).
-5*h**2*(h - 1)
Let y(h) be the first derivative of 2*h**5/5 + 3*h**4/2 - 8*h**3/3 - 36. Factor y(p).
2*p**2*(p - 1)*(p + 4)
Let t(x) be the second derivative of -5*x**5/14 + 1105*x**4/42 - 11639*x**3/21 - 12769*x**2/7 + 51*x - 1. Determine u so that t(u) = 0.
-1, 113/5
Suppose 40*y - 59 = 21. What is q in 16/7*q - 4/7 - 16/7*q**y - 8/7*q**5 + 20/7*q**4 - 8/7*q**3 = 0?
-1, 1/2, 1
Let y(v) be the first derivative of -5*v**3/3 + 15*v**2 + 80*v + 236. Factor y(a).
-5*(a - 8)*(a + 2)
Let y(f) be the third derivative of -18*f**2 + 0*f**5 + 0*f**3 - 1/8*f**4 + 0*f**7 - 1/112*f**8 + 1/20*f**6 + 0 + 0*f. Factor y(a).
-3*a*(a - 1)**2*(a + 1)**2
Let c(r) be the second derivative of 41/42*r**4 - 3/35*r**6 + 0 + 4/7*r**2 - 8/7*r**3 - 19/70*r**5 + 1/21*r**7 - 32*r. Solve c(t) = 0.
-2, 2/7, 1
Let c = 197 + -193. Let h(s) be the second derivative of -c*s + 0 + 0*s**2 + 1/12*s**4 + 0*s**3. Factor h(w).
w**2
Factor 2/3*k**2 + 2/9*k**3 - 10/9*k - 2/9*k**4 + 4/9.
-2*(k - 1)**3*(k + 2)/9
Let r(y) = -11. Let d(p) = p + 12. Let x(c) = 3*d(c) + 2*r(c). Let g be x(-4). Factor 0*o**g + 0*o - 1/2*o**3 + 0.
-o**3/2
Let z be (-1)/3 + 186/18. Suppose -6*f + 5*f = -z. Factor 6 - 2*a + 2*a - f - a**2 - 4*a.
-(a + 2)**2
Let x = -7 - -17. Factor -x*v**2 + 2*v + 0*v + 5 + 8*v**3 - 5.
2*v*(v - 1)*(4*v - 1)
Suppose 0*h**3 - 5*h + 30 + 2*h**3 - 3*h - 11*h**2 + 7*h + 0*h = 0. What is h?
-3/2, 2, 5
Let f(x) be the third derivative of -x**5/90 - x**4/3 + 13*x**3/9 + 165*x**2. Find j, given that f(j) = 0.
-13, 1
Let x(r) be the third derivative of -r**5/20 + 2*r**4 - 15*r**3/2 - 13*r**2. Factor x(j).
-3*(j - 15)*(j - 1)
Let z(c) be the third derivative of -2*c**7/315 - 53*c**6/90 - 15*c**5 + 81*c**4/2 + 121*c**2. Factor z(w).
-4*w*(w - 1)*(w + 27)**2/3
Let a = -70 - -72. Factor 11*o**3 - 4*o + 0*o - 19*o**3 - 12*o**a.
-4*o*(o + 1)*(2*o + 1)
Suppose 6*z - 15*z = -45. Let h(c) be the first derivative of -3/4*c**4 + 5 - 3/5*c**z + 0*c + c**3 + 3/2*c**2. Solve h(w) = 0 for w.
-1, 0, 1
Factor -9/8*l**2 - 105/8*l**3 + 6 + 93/8*l - 51/8*l**4.
-3*(l + 1)**3*(17*l - 16)/8
Let o(t) = -t**3 + 28*t**2 + 382*t - 73. Let g be o(38). Factor -10/11*p**2 - 4/11*p + 32/11*p**g + 0 - 18/11*p**4.
-2*p*(p - 1)**2*(9*p + 2)/11
Let l(b) be the first derivative of 441*b**5/5 - 6069*b**4/4 + 8818*b**3 - 18480*b**2 + 9600*b - 59. Determine m so that l(m) = 0.
1/3, 2, 40/7
Let p(a) be the third derivative of -11*a**5/30 - 37*a**4/2 - 40*a**3/3 - 2*a**2 + 315*a. Find x, given that p(x) = 0.
-20, -2/11
Let f(s) be the second derivative of -8/15*s**3 + 0 - 1/300*s**6 - 1/5*s**4 - s**2 - s - 1/25*s**5. Let h(a) be the first derivative of f(a). Factor h(o).
-2*(o + 2)**3/5
Let p(o) be the second derivative of o**7/630 + o**6/120 - o**5/30 + 4*o**4/3 - 6*o. Let r(t) be the third derivative of p(t). Let r(m) = 0. Calculate m.
-2, 1/2
Factor -24 - 12*h + 13 - 18*h**3 - 25 + 15*h**3 + 21*h**2.
-3*(h 