tive of -3*b**2/2 + 2*b - 6. Let s be y(-6). Suppose 16*g**4 + 8*g**3 - 8*g**2 - 8*g**4 - 28*g**5 + s*g**3 = 0. Calculate g.
-1, 0, 2/7, 1
Let x(t) be the second derivative of t**7/7 - 3*t**6/2 - 3*t**5/2 + 15*t**4/4 + 4*t**3 + 2*t - 27. What is j in x(j) = 0?
-1, -1/2, 0, 1, 8
Let w = -130 - -261/2. Factor 1/2*g - 1/2 + w*g**2 - 1/2*g**3.
-(g - 1)**2*(g + 1)/2
Let k = -71 + 73. Factor -10*b - 6 - 7*b**k + 0*b**2 + 2*b + 5*b**2.
-2*(b + 1)*(b + 3)
Let n(w) be the second derivative of -w**8/2352 + w**7/735 + w**6/280 - 4*w**2 + 11*w. Let q(t) be the first derivative of n(t). Factor q(y).
-y**3*(y - 3)*(y + 1)/7
Let w(l) = -l**2 - 10*l + 17. Let z be w(-11). Factor v**4 + 10*v**3 + 4*v**4 + 11*v**2 - z*v**2.
5*v**2*(v + 1)**2
Let a(o) = 204*o + 616. Let w be a(-3). Let 4/3*t**3 - 4/9*t**w - 13/9*t**2 - 1/9 + 2/3*t = 0. What is t?
1/2, 1
Let n(o) be the second derivative of -2645*o**4/12 - 1150*o**3 - 2250*o**2 + 354*o + 2. Determine v so that n(v) = 0.
-30/23
Let v(p) be the first derivative of 3/2*p**4 + 0*p - 4 + 0*p**2 + 3/5*p**5 - 3*p**3. Factor v(r).
3*r**2*(r - 1)*(r + 3)
Let j(z) be the third derivative of 0*z + 1/6*z**4 + 4*z**3 + 21*z**2 - 1/15*z**5 + 0. Factor j(w).
-4*(w - 3)*(w + 2)
Let a(l) be the first derivative of 2*l**3/5 - 62*l**2/5 + 16*l - 29. Let a(n) = 0. What is n?
2/3, 20
Let w(n) = -9*n**3 - 17*n**2 + 9*n - 34. Let f(a) = -a**3 - 2*a**2 + a - 4. Let s(b) = -51*f(b) + 6*w(b). What is z in s(z) = 0?
-1, 0, 1
Let m(f) be the first derivative of -f**6/160 + f**5/10 - 13*f**4/32 + 3*f**3/4 - 29*f**2/2 - 27. Let g(i) be the second derivative of m(i). Factor g(a).
-3*(a - 6)*(a - 1)**2/4
Let x(a) be the second derivative of -a**7/28 + a**6/20 + 27*a**5/40 + 11*a**4/8 + a**3 + 121*a. Factor x(m).
-3*m*(m - 4)*(m + 1)**3/2
Let y = -20715 - -20715. Factor -3/10*g**2 + 0 + y*g + 1/10*g**3.
g**2*(g - 3)/10
Let s(r) be the third derivative of -49*r**6/180 + 7*r**5/5 - 5*r**4/3 + 8*r**3/9 - 147*r**2. Factor s(c).
-2*(c - 2)*(7*c - 2)**2/3
Let r(x) be the second derivative of x**4/3 + 4*x**3/3 + 2*x**2 - 61*x. Factor r(s).
4*(s + 1)**2
Let f(v) = v**2 - 2*v - 1. Let k(s) = -24*s - 122. Let m(x) = 2*f(x) - 2*k(x). What is i in m(i) = 0?
-11
Let m(j) be the third derivative of 1/480*j**6 + 0*j**3 + 0*j**4 + 0*j + 0 + 0*j**5 + 1/840*j**7 - 20*j**2. Determine f so that m(f) = 0.
-1, 0
Let v(z) be the first derivative of 8 + 2/33*z**3 + 8/11*z + 5/11*z**2. What is w in v(w) = 0?
-4, -1
Let v(b) be the third derivative of b**5/360 + 7*b**4/72 + 13*b**3/36 + 97*b**2. Let v(j) = 0. Calculate j.
-13, -1
Let z(d) = 3*d**3 + 6*d - 6. Let x(r) = -4*r**3 + r**2 - 7*r + 6. Let y(g) = 4*x(g) + 5*z(g). Let q be y(4). What is j in -95*j**2 + 91*j**q - 2 - 2 + 8*j = 0?
1
Let d(f) be the first derivative of -2*f**5/5 - 12*f**4 + 52*f**3 - 80*f**2 + 54*f - 314. Factor d(g).
-2*(g - 1)**3*(g + 27)
Find f, given that -26*f**2 - 7 - 8*f + 11 - 36*f**3 - 7*f**4 + 11*f**3 - 4 = 0.
-2, -1, -4/7, 0
Let q be 18/9*(17 - 16). Find j, given that 72 - 8*j + 2/9*j**q = 0.
18
Let j(u) be the third derivative of u**5/80 - 5*u**4/16 + 9*u**3/8 - 138*u**2. Let j(r) = 0. What is r?
1, 9
Let x be 5/(-7*(-9)/378*105). Find b, given that 36/7*b**2 + x*b**4 + 40/7*b + 2*b**3 + 16/7 = 0.
-2, -1
Find a, given that 59*a - 11 - 13*a**2 + 12*a**2 - 71*a = 0.
-11, -1
Let z(a) = a**3 + 5*a**2 + 8*a + 26. Let s be z(-4). Let t be (5/s*(-2 - -2))/(-2). Suppose 2/9*q**2 + 2/9*q**3 - 2/9*q - 2/9*q**4 + t = 0. Calculate q.
-1, 0, 1
Let m(o) = 2*o**2 - o - 4. Let v be m(2). Let p(l) = 1 + 8*l**v - 6*l**2 - l**2 - 2*l. Let h(t) = t - 1. Let x(r) = -6*h(r) - 3*p(r). Factor x(s).
-3*(s - 1)*(s + 1)
Let d(x) be the first derivative of x**7/14 + 2*x**6/5 + 3*x**5/5 + 5*x - 7. Let s(j) be the first derivative of d(j). Factor s(a).
3*a**3*(a + 2)**2
Let c(l) be the first derivative of l**4/22 - 100*l**3/11 + 101. Factor c(q).
2*q**2*(q - 150)/11
Let v(k) be the first derivative of -3*k + 2 - 1/2*k**6 + 2*k**3 - 3/2*k**2 + 3/2*k**4 - 3/5*k**5. Factor v(q).
-3*(q - 1)**2*(q + 1)**3
Let j(h) be the first derivative of h**6/6 - 4*h**5/5 - 21*h**4/4 - 4*h**3/3 + 14*h**2 - 22. Factor j(v).
v*(v - 7)*(v - 1)*(v + 2)**2
Let j = -110 + 114. Suppose -2*o**3 + 0*o**3 + 0*o**3 + 40*o + o**j + 6*o**2 - 6*o**3 + 25 = 0. Calculate o.
-1, 5
Let d(q) = -q**3 + 8*q**2 + 73*q - 224. Let z be d(-7). Factor 2/3*u + z + 1/3*u**2.
u*(u + 2)/3
Suppose -5 = t, 5*q = 5*t - 0*t + 45. Let l be (-13)/(-26) + (325/(-30))/(-13). Suppose 0*m**3 + 0 - 2/3*m**5 + 2/3*m - l*m**2 + 4/3*m**q = 0. What is m?
-1, 0, 1
Determine h, given that -3/5*h**3 + 222/5*h**2 + 45*h + 0 = 0.
-1, 0, 75
Let a(u) be the first derivative of -2*u**5/65 - 2*u**4 - 52*u**3 - 676*u**2 - 4394*u - 58. Factor a(r).
-2*(r + 13)**4/13
Let z(w) be the first derivative of -3*w**4/4 + 2*w**3 + 105*w**2/2 - 20. Factor z(y).
-3*y*(y - 7)*(y + 5)
Factor -28/5*v**2 - 16/5 - 64/5*v.
-4*(v + 2)*(7*v + 2)/5
Let g(d) = -d**3 - 2*d**2 + 15*d + 23. Let l(w) = -2*w - 1. Let a(x) = -2*g(x) + 14*l(x). Factor a(o).
2*(o - 5)*(o + 1)*(o + 6)
Let t = 5399/2 + -2699. Factor -147/2*w - 343/2 - t*w**3 - 21/2*w**2.
-(w + 7)**3/2
Let c(a) be the third derivative of -a**7/2100 + a**6/180 - a**5/50 + 9*a**3 - 3*a**2 - 6. Let r(u) be the first derivative of c(u). Factor r(i).
-2*i*(i - 3)*(i - 2)/5
Let p = 256 + -254. Let c be (2/(-4))/((-2)/12). Find k, given that 231*k**4 + 96*k**c + 80*k**p - 1 + 147*k**5 + 1 - 68*k**2 = 0.
-1, -2/7, 0
Let a(v) be the first derivative of v**7/280 + v**6/30 + 3*v**5/40 - 2*v**3 + 27. Let f(t) be the third derivative of a(t). Let f(y) = 0. What is y?
-3, -1, 0
Let r(m) be the third derivative of -m**9/80640 - m**8/26880 + m**7/6720 + m**6/960 - m**5/30 + 12*m**2. Let x(u) be the third derivative of r(u). Factor x(l).
-3*(l - 1)*(l + 1)**2/4
Let k(s) be the first derivative of 1/7*s**2 - 2/3*s**3 + 2*s - 1/14*s**4 + 26. Let k(q) = 0. Calculate q.
-7, -1, 1
Let g(n) = n**3 - 5*n**2 - 3*n + 5. Let p be g(5). Let l(d) = -d**2 - 9*d + 13. Let h be l(p). Factor -7*u**3 + 9*u + 4*u**h + 3 - 3*u**2 - 6*u**3.
-3*(u - 1)*(u + 1)*(3*u + 1)
Let j(s) = 20*s**4 - 21*s**3 + 17*s**2 + 23*s - 7. Let m(g) = 17*g**4 - 20*g**3 + 17*g**2 + 24*g - 6. Let i(v) = 6*j(v) - 7*m(v). Factor i(t).
t*(t - 2)*(t + 1)*(t + 15)
Let h = 17346 + -138765/8. What is g in h*g + 1/8*g**3 + 0 + 1/2*g**2 = 0?
-3, -1, 0
Let j(m) be the third derivative of m**6/30 + m**5/3 - 13*m**4/6 + 14*m**3/3 + 76*m**2. Factor j(g).
4*(g - 1)**2*(g + 7)
Let u(j) = -j - 6. Let s be u(-9). What is c in 17*c**3 - 52*c**2 + 32*c**s + c**3 - 22*c**3 + 24*c + 4*c**4 - 4*c**5 = 0?
-3, 0, 1, 2
Suppose -3*j - 1 + 7 = 0. Factor -z**3 + 4*z**2 + 4*z - z - 2*z - 5*z**j + 1.
-(z - 1)*(z + 1)**2
Let f be (-1194)/4788 + 2/(-7). Let i = -2/57 - f. Determine q so that i*q**2 - 2 + 0*q = 0.
-2, 2
Suppose 0*o**4 + 0*o + 0*o**2 + 0 - 1/6*o**3 + 1/6*o**5 = 0. Calculate o.
-1, 0, 1
Factor -6*z**2 + 16*z**2 - 8*z**2 - 7*z**2 + 367*z - 25205 + 343*z.
-5*(z - 71)**2
Solve -444 - 721 - 1008*f - f**3 - 3*f**3 - 120*f**2 - 403 = 0.
-14, -2
Let q(l) be the first derivative of l**4/18 + 2*l**3/3 - 10*l**2/9 - 35. Factor q(p).
2*p*(p - 1)*(p + 10)/9
Let l be 1/(-15) + 11/(-110) + (-19)/(-6). Factor 0*b**l + 0*b + 1/2*b**4 - b**2 + 1/2.
(b - 1)**2*(b + 1)**2/2
Let q(w) = 3*w**5 + 47*w**4 - 61*w**3 + 11*w**2. Let g(m) = -2*m**5 - 24*m**4 + 30*m**3 - 4*m**2. Let u(j) = -7*g(j) - 4*q(j). Factor u(o).
2*o**2*(o - 8)*(o - 1)**2
Factor 5*p - 5*p**3 + 362 + 2103*p**2 - 2343*p**2 - 122.
-5*(p - 1)*(p + 1)*(p + 48)
Suppose -7*n + 4 = -56*n + 51*n. Determine v, given that 0 - v + 1/4*v**3 + 1/4*v**4 - v**n = 0.
-2, -1, 0, 2
Let c(r) be the first derivative of -r**5/10 - r**4/6 + r**3/3 + 15*r**2/2 + 18. Let b(h) be the second derivative of c(h). Let b(w) = 0. What is w?
-1, 1/3
Suppose -6 = 2*p - 2. Let x(m) = -5*m**2 - 2*m + 2. Let g(v) = -v**2 - 42*v**2 + 0*v - 33*v + 33 - 38*v**2. Let f(o) = p*g(o) + 33*x(o). Solve f(u) = 0.
0
Factor -198/5*u**2 - 31944/5 + 4356/5*u + 3/5*u**3.
3*(u - 22)**3/5
Suppose -j = -z + 9, -4*z + 20 = z. Let d be (-15)/25*(0 + j). Factor -8*b**3 + 5*b**3 + 2*b - 3*b**2 + 4*b**d.
b*(b - 2)*(b - 1)
Let l be (-2)/(-7) - 38/(-14). Suppose 0 = 4*t - l*t. Let 2*a**2 - 3 + t + 1 = 0. Calculate a.
-1, 1
Let n be (-40)/(-12