of -1/6*v**4 - 2*v**3 - 44*v + 0 - 9*v**2. Factor a(m).
-2*(m + 3)**2
Let r(c) = -c**2. Let t(m) = 27*m**2 + 36*m + 12. Let f(o) = -12*r(o) - t(o). Factor f(a).
-3*(a + 2)*(5*a + 2)
Let l be 2 + (1 - -2) - 3. Factor 3*f**5 - 4*f**3 - 2*f**3 - l + 2 - 3*f**4.
3*f**3*(f - 2)*(f + 1)
Let o(i) be the second derivative of i**5/170 - i**4/51 - i**3/51 + 2*i**2/17 - 232*i. Factor o(a).
2*(a - 2)*(a - 1)*(a + 1)/17
Let v(k) be the second derivative of -k**7/6720 - k**6/384 + 3*k**5/160 - 11*k**4/4 - 32*k. Let u(i) be the third derivative of v(i). What is p in u(p) = 0?
-6, 1
Suppose 424*s + 84 = 438*s. Let h(i) be the third derivative of 3/8*i**4 - s*i**2 + i**3 + 1/20*i**5 + 0 + 0*i. Factor h(a).
3*(a + 1)*(a + 2)
Suppose -2*q - 343 = -133. Let g be (-4)/(-32) - (q/8)/3. Factor -2*a + g*a**4 - a**2 + 6*a**3 + 1/2.
(a + 1)**2*(3*a - 1)**2/2
Let o(q) = q**3 + q**2 - q. Let v = -11 - -12. Let a(p) = 5*p**2 - p**4 - v - 4*p**2 - p - p**3 + 2*p. Let j(g) = -2*a(g) - 2*o(g). Factor j(b).
2*(b - 1)**2*(b + 1)**2
Solve 75 - 15*m + 3/4*m**2 = 0.
10
Let -8/5*u**3 + 0*u + 12/5*u**5 - 2*u**2 + 14/5*u**4 + 0 = 0. What is u?
-1, 0, 5/6
Let v(s) be the third derivative of s**5/210 - 9*s**4/14 + 243*s**3/7 - 3*s**2 - 12*s. Factor v(z).
2*(z - 27)**2/7
Let k be ((-36)/(-54))/(2/258). Determine i so that -k*i**4 - i**3 + 174*i**4 - 87*i**4 = 0.
0, 1
Let f = 957 + -950. Let p(v) be the first derivative of 5/4*v**4 + 5*v**3 - 3*v**5 - 5*v**2 + f + 0*v + 5/6*v**6. Factor p(k).
5*k*(k - 2)*(k - 1)**2*(k + 1)
Factor 5*f**2 + 23*f**2 - 4*f**3 + 6*f - 34*f + 32 - 92.
-4*(f - 5)*(f - 3)*(f + 1)
Factor 2048/7 - 128/7*d + 2/7*d**2.
2*(d - 32)**2/7
Let x(c) be the first derivative of -3*c**4/20 + 9*c**3/5 - 27*c**2/5 + 177. What is g in x(g) = 0?
0, 3, 6
Let j(n) = 5*n**3 - 3*n**2 + n. Let k be j(2). Solve k*y - 6*y**2 - 98 + 4*y**2 - 2*y = 0 for y.
7
Suppose 4*q + 3*c = 40, 0 = -23*q + 20*q + c + 4. Factor -10/23*y + 12/23*y**2 - 16/23*y**q + 8/23*y**3 + 2/23.
-2*(y + 1)*(2*y - 1)**3/23
Let q(a) be the second derivative of -2*a**6/105 + 3*a**5/140 + 5*a**4/84 - a**3/14 - a**2/14 + a + 70. Determine u so that q(u) = 0.
-1, -1/4, 1
Let z = -8/161 + 281/2415. Let q(k) be the third derivative of 0 + 0*k - 1/2*k**4 - z*k**5 - 4/3*k**3 + 3*k**2. Let q(r) = 0. Calculate r.
-2, -1
Factor 60/23*j + 74/23*j**2 + 18/23 + 8/23*j**4 + 40/23*j**3.
2*(j + 1)**2*(2*j + 3)**2/23
Let f(n) = 2*n + 24. Let g be f(-11). Let w(d) be the first derivative of -4 - 4/7*d + 2/21*d**3 + 1/7*d**g. Find b, given that w(b) = 0.
-2, 1
Let y(c) = -5*c**2 - 6*c + 5. Let b(i) = -28*i**2 - 36*i + 31. Let q(p) = 6*b(p) - 34*y(p). What is d in q(d) = 0?
2, 4
Let a(m) be the first derivative of -m**4/10 + 13*m**3/15 + 4*m**2/5 - 7*m/5 + 52. Determine p so that a(p) = 0.
-1, 1/2, 7
Let p be (3 - -1)*(-5)/(-10). Let n be p + 10/(-6) + (-10)/(-6). Solve 6/5 - 4/5*b + 2/15*b**n = 0 for b.
3
Let b(n) = -n**2 + 10*n + 6. Let w be b(-4). Let l = w + 52. Factor -4/7 + 5*f**3 - 20/7*f - 11/7*f**l.
(f - 1)*(5*f + 2)*(7*f + 2)/7
Let a = 307 + -285. Let m(i) = i**3 - 21*i**2 - 24*i + 48. Let t be m(a). Factor -2/15*y**t + 0*y**3 + 0 + 4/15*y + 2/5*y**2.
-2*y*(y - 2)*(y + 1)**2/15
Let z(f) be the third derivative of -7/40*f**6 - 4/5*f**5 + 0*f + 3*f**3 + 5*f**2 - 2 + 17/8*f**4. Factor z(n).
-3*(n - 1)*(n + 3)*(7*n + 2)
Let y = 13454/10095 - -2/3365. Factor -1/2 - y*u + 1/6*u**4 + 0*u**3 - u**2.
(u - 3)*(u + 1)**3/6
Factor -2030*c + 40*c**2 + 182442 + 23603 + 50*c**2 - 85*c**2.
5*(c - 203)**2
Let z = -963 + 653. Let f = -2165/7 - z. Factor 12/7*k**3 - 4/7*k**2 + 2/7 - f*k.
(2*k - 1)**2*(3*k + 2)/7
Suppose -4*k = x - 4, -2 - 3 = -5*k. Factor 4*b**2 + 0 + 6 + x - 2 - 8*b.
4*(b - 1)**2
Let n(i) = i**3 + 27*i**2 - 35*i - 194. Let k be n(-28). Solve -2*q**k + 1/2 - 3/4*q - 3/4*q**3 = 0.
-2, -1, 1/3
Let y(v) = v**2 - 2*v. Let h be y(-1). Suppose 3*o**2 - 5*o**2 - 3*o**3 - 3*o**2 + h*o**4 - o**2 = 0. Calculate o.
-1, 0, 2
Let w(x) be the third derivative of 0*x**6 + 0 + 0*x + 1/336*x**8 + 0*x**4 - 12*x**2 + 0*x**3 - 1/105*x**7 + 0*x**5. Solve w(g) = 0 for g.
0, 2
Let z(a) be the first derivative of -a**6/12 - a**5/2 - 3*a**4/4 + 2*a**3/3 + 2*a**2 + 42. Factor z(t).
-t*(t - 1)*(t + 2)**3/2
Suppose -j - 186 = -3*d - 33, 2*d - 102 = -4*j. Let r = 161/3 - d. Find c such that -2/3*c**3 - r - 10/3*c**2 - 16/3*c = 0.
-2, -1
Let n(r) be the third derivative of 0 - 1/180*r**6 + 0*r + 1/30*r**5 - 2/3*r**3 + 0*r**4 + 9*r**2. Let v(w) be the first derivative of n(w). Factor v(d).
-2*d*(d - 2)
Let q = 71 - 271. Let s = q + 1401/7. What is i in -1/7*i**4 + s*i - 3/7*i**2 + 3/7*i**3 + 0 = 0?
0, 1
Let d = 61 + -36. Suppose -3*k - d = -37. Let 8*c**k + 13*c**4 + 4*c**2 + c**5 + 4*c - 23*c**4 - 3*c**3 = 0. What is c?
-1, 0, 2
Factor -719*v**4 + 8*v + 20*v**2 + 16*v**3 + 1436*v**4 - 713*v**4.
4*v*(v + 1)**2*(v + 2)
Let h(j) be the third derivative of -j**6/480 - j**5/12 - 773*j**2. Factor h(y).
-y**2*(y + 20)/4
Let g = 3638 + -3638. Solve -h**2 + g*h + 0*h**3 + 1/2*h**4 + 1/2 = 0.
-1, 1
Factor -6/5*c**2 + 2/5*c**3 + 6/5 - 2/5*c.
2*(c - 3)*(c - 1)*(c + 1)/5
Factor 28*y**3 - 798*y**2 - 26 + 74 + 922*y**2 + 160*y.
4*(y + 2)**2*(7*y + 3)
Let w(n) be the second derivative of -n**6/35 + 6*n**5/35 - 2*n**4/7 + 24*n. Factor w(d).
-6*d**2*(d - 2)**2/7
Let -1/6*r**2 + 29/6*r + 5 = 0. What is r?
-1, 30
Suppose 3*p**2 - 49 + 3*p**2 - 3*p**2 + 46 = 0. What is p?
-1, 1
Let g = 10 + -7. Factor 13*o**4 - 11 + 9 + 11*o**2 + 2 + 2*o + 3*o**5 + 19*o**g.
o*(o + 1)**2*(o + 2)*(3*o + 1)
Let c = -21 - -23. Suppose -25 = -5*o - 0. Factor 4*v + 5*v**4 - v**o - 4*v + v - 3*v**4 - c*v**2.
-v*(v - 1)**3*(v + 1)
Let q(w) be the second derivative of -1/9*w**4 + 2/45*w**6 - 11*w + 0*w**2 + 0 - 1/18*w**3 + 1/60*w**5. Determine l so that q(l) = 0.
-1, -1/4, 0, 1
Let l(b) be the first derivative of 0*b - 1/12*b**2 + 20 - 1/36*b**6 + 1/12*b**4 + 0*b**3 + 0*b**5. Factor l(g).
-g*(g - 1)**2*(g + 1)**2/6
Let u = 448 - 17919/40. Let t(h) be the third derivative of 0 - 1/240*h**6 + u*h**5 + 0*h**3 + 0*h - 1/24*h**4 - h**2. Determine w, given that t(w) = 0.
0, 1, 2
Let t(w) be the third derivative of -w**6/30 - 5*w**5/3 + w**4/6 + 50*w**3/3 + w**2 + 68. Determine k, given that t(k) = 0.
-25, -1, 1
Suppose -3 = -8*z + 13. Let h be z/16*(50 - 20). Find y such that 9*y + h*y**2 + 3 = 0.
-2, -2/5
Let w(y) be the second derivative of 2/5*y**5 + 2/3*y**3 + 1/15*y**6 + 0*y**2 + 5/6*y**4 - 2 - 3*y. Factor w(f).
2*f*(f + 1)**2*(f + 2)
What is y in 33*y - 3/2*y**5 - 27/2*y**3 + 36 + 21/2*y**4 - 57/2*y**2 = 0?
-1, 2, 3, 4
Let a(i) be the first derivative of 4*i**5/5 - 16*i**3/3 - 45. Factor a(d).
4*d**2*(d - 2)*(d + 2)
Let m(c) be the second derivative of -c**6/60 - c**5/10 + c**4/12 + c**3 + 13*c**2/2 - 2*c. Let b(o) be the first derivative of m(o). Factor b(t).
-2*(t - 1)*(t + 1)*(t + 3)
Suppose -4*y = -2*y - 78. Let l(j) = 3*j + 20. Let t be l(-6). Factor -2*r**2 - 5 - 15*r + y*r**3 - 1 - 42*r**3 - 10*r**t.
-3*(r + 1)**2*(r + 2)
Let b(q) = -6*q**3 + 8*q**2 + 2*q - 8. Let u(m) = -25*m**3 + 33*m**2 + 7*m - 33. Let z(j) = -9*b(j) + 2*u(j). Solve z(r) = 0 for r.
-1, 1, 3/2
Let g be (-12)/90 - 352/60. Let k(i) = 0*i - 16*i - 23*i**2 - i - 17. Let v(j) = 4*j**2 + 3*j + 3. Let x(y) = g*k(y) - 34*v(y). Suppose x(s) = 0. Calculate s.
0
Let k = 20 + -18. Let b(x) = x**2 - 1. Let n be b(2). Factor -n*u**2 - 4*u**k + u**3 + 6*u**2.
u**2*(u - 1)
Let f(m) be the first derivative of -m**6/48 - 3*m**5/20 - 3*m**4/8 - 5*m**3/12 - 3*m**2/16 + 25. Solve f(h) = 0 for h.
-3, -1, 0
Let d(n) be the second derivative of n**5/40 - 7*n**4/24 + 5*n**3/6 + 382*n. Find g, given that d(g) = 0.
0, 2, 5
Find g, given that 1/5*g**2 + 8/5*g + 3 = 0.
-5, -3
Let m(p) = 8*p**4 - 6*p**3 + 2*p**2 + 6*p. Let a(q) = -q**4 + q**3 - q. Let i(t) = -20*a(t) - 2*m(t). Determine h so that i(h) = 0.
-1, 0, 1, 2
Factor -13*v**2 + 40 + 15*v**3 + 75*v - 45*v**2 - 40*v**2 - 32*v**2.
5*(v - 8)*(v - 1)*(3*v + 1)
Let y be 6/64*(-56)/(-210). Let p(m) be the second derivative of -y*m**5 + 1/12*m**3 + 1/120*m**6 + 0*m**4 - 1/8*m**2 + 0 - 4*m. Suppose p(o) = 0. What is o?
-1, 1
Let y = 207 - 235. Let c be ((-20)/y - 1)*28/(-16). Factor -8 + 4*d - c*d**2.
-(d - 4)**2/2
Factor 0 + 51*k - k**2 - 17*k - 3 - 28*k - 5.
-(k - 4)*(k - 2)
Suppose -3*c + c = 0. Let 