1. Factor j(v).
-3*v**2*(v - 2)/4
Let r(o) be the first derivative of 2*o**3/3 + 3*o**2/2 + o - 2. Let d(s) = -7*s**2 - 11*s - 4. Let b(i) = -6*d(i) - 22*r(i). Solve b(v) = 0.
-1, 1
Let -15 + 35 - 4*h - 20 + h**3 = 0. What is h?
-2, 0, 2
Let q(i) be the third derivative of 1/70*i**5 + 0*i**3 + 1/42*i**4 + 0 - 3*i**2 + 0*i + 1/420*i**6. Factor q(p).
2*p*(p + 1)*(p + 2)/7
Let x = 119/20 + -26/5. Find s, given that 0 - 2*s**2 - s + x*s**3 + 9/4*s**4 = 0.
-2/3, 0, 1
Suppose 4*o = 5*o - 4. Let 3*i + 0*i**2 - 3*i + 2*i**o - 2*i**2 = 0. What is i?
-1, 0, 1
Let q(k) be the first derivative of -k**4/8 - 2*k**3/3 - 13. Factor q(u).
-u**2*(u + 4)/2
Let s(r) = 4*r**2 - 16*r - 48. Let i(o) = o**2 + 2*o. Let q(b) = -8*i(b) + s(b). Factor q(u).
-4*(u + 2)*(u + 6)
Let j(q) be the third derivative of -q**6/240 - q**5/60 - q**4/48 - 14*q**2. Find h such that j(h) = 0.
-1, 0
Let b(g) be the third derivative of g**7/420 + g**6/240 - 5*g**2. Determine v so that b(v) = 0.
-1, 0
Let l(w) = -11*w**5 + 17*w**4 - 5*w**3 - 5*w**2. Let o(i) = -56*i**5 + 86*i**4 - 26*i**3 - 26*i**2. Let s(n) = 11*l(n) - 2*o(n). Factor s(g).
-3*g**2*(g - 1)**2*(3*g + 1)
Let p(x) be the first derivative of 7*x**5/20 - 3*x**4/4 + x**3/3 + x - 1. Let z(t) be the first derivative of p(t). Factor z(b).
b*(b - 1)*(7*b - 2)
Let c = -985/23 + 43. Let z = c + 34/69. Factor 5/3*l**2 + z*l + 0.
l*(5*l + 2)/3
Suppose -21 = -5*j + 4. Let g(y) be the third derivative of -1/270*y**6 + 0*y + 2*y**2 + 7/270*y**j - 4/27*y**3 - 1/27*y**4 + 0. Factor g(r).
-2*(r - 2)**2*(2*r + 1)/9
Factor 0*m**4 - 7 - 2*m**4 + 4*m**2 - 6 + 11.
-2*(m - 1)**2*(m + 1)**2
Solve -3*i + 1/2*i**2 - 1/2 + 3*i**3 = 0.
-1, -1/6, 1
Suppose -3 - 2*r + 6*r + 2*r**2 - 5*r + 2 = 0. What is r?
-1/2, 1
Let c(t) be the third derivative of -3*t**5/10 - t**4/3 - 4*t**3/27 + 6*t**2. Factor c(j).
-2*(9*j + 2)**2/9
Factor -49/8*u**2 - 2 - 7*u.
-(7*u + 4)**2/8
Let p(n) be the first derivative of n**3/9 - n**2/3 - 1. Factor p(o).
o*(o - 2)/3
Factor -2*t**3 - 4*t**3 + 3*t**3.
-3*t**3
Let f(m) be the second derivative of -m**7/126 - m**6/90 + m**5/60 + m**4/36 - 5*m. Factor f(b).
-b**2*(b - 1)*(b + 1)**2/3
Suppose 4/3 - 1/3*a**2 - a = 0. Calculate a.
-4, 1
Factor -71*l + 6*l**3 - 4 + 0*l**3 + 2*l**4 + 65*l + 2*l**2.
2*(l - 1)*(l + 1)**2*(l + 2)
Factor -4*f**2 - 441 - 369 - 168*f - 954.
-4*(f + 21)**2
Let x be 1/(8/(-4))*-4. Determine g so that 4*g**2 - 6*g**2 + 5*g - 3 - g**3 - 3*g**2 + 4*g**x = 0.
-3, 1
Let j be 68/132*(-42)/8. Let d = j - -38/11. Suppose -d*b + 1/4*b**2 + 1/2 = 0. Calculate b.
1, 2
Let r = -399/4 + 98. Let q = r + 9/4. Let 12*v**3 + 8*v**4 + 1/2*v**2 - 3*v + q = 0. What is v?
-1, 1/4
Let y = 4/35 + 41/35. Determine c, given that 6/7 - y*c + 3/7*c**3 + 0*c**2 = 0.
-2, 1
Let r = -398/5 - -80. Find p, given that r*p**2 + 0*p + 0*p**3 - 1/5*p**4 - 1/5 = 0.
-1, 1
Let r(n) be the second derivative of -n**6/180 - n**5/40 - n**4/24 - n**3/36 + 33*n. Factor r(j).
-j*(j + 1)**3/6
Let d be (2 - -17)/(8/10). Let i = 26 - d. Determine a so that 1/4*a**4 + 1/2 + 5/4*a**3 + 7/4*a + i*a**2 = 0.
-2, -1
Let k(j) be the second derivative of -2*j**5/45 - 11*j**4/54 - 10*j**3/27 - j**2/3 + 15*j. Factor k(t).
-2*(t + 1)**2*(4*t + 3)/9
Let h(j) = -2*j**3 + 7*j**2 + 5. Let i(l) be the third derivative of l**6/120 - l**5/20 - l**3/3 - 3*l**2. Let v(u) = 2*h(u) + 5*i(u). Factor v(x).
x**2*(x - 1)
Let i(r) = r**4 - r**3 - 1. Let z = -13 + 8. Let c = 4 + z. Let b(f) = -13*f**4 + 11*f**3 + 2*f**2 + 4. Let a(x) = c*b(x) - 4*i(x). Factor a(g).
g**2*(g - 1)*(9*g + 2)
Let x(f) be the second derivative of f**6/60 + f**5/40 - 3*f**4/8 + 11*f**3/12 - f**2 + 32*f. Let x(z) = 0. What is z?
-4, 1
Let h(g) be the third derivative of 1/1344*g**8 - 3*g**2 - 1/240*g**6 + 0*g**5 + 0*g**7 + 0*g**3 + 1/96*g**4 + 0*g + 0. Determine o so that h(o) = 0.
-1, 0, 1
Let o(y) be the third derivative of -1/525*y**7 - 3/50*y**5 - 8*y**2 + 1/60*y**6 - 2/15*y**3 + 7/60*y**4 + 0*y + 0. Factor o(s).
-2*(s - 2)*(s - 1)**3/5
Suppose -5*x = -3*x - 34. Let r be x/6 + 1/6. Find i, given that -1/4*i - 3/4*i**r + 3/4*i**2 + 0 + 1/4*i**4 = 0.
0, 1
Let o = -19 - -24. Find g such that 1/3*g**o - g - g**4 + 1/3 + 2/3*g**2 + 2/3*g**3 = 0.
-1, 1
Suppose -2*v + 0*g = 4*g - 4, 3*g - 3 = 3*v. Let 1/2*z**5 + 3/2*z**3 + 1/2*z**2 + 3/2*z**4 + v + 0*z = 0. What is z?
-1, 0
Solve 10/3*v**3 + 8/3*v**2 - 4/3*v**4 - 2*v + 0 = 0 for v.
-1, 0, 1/2, 3
Let z(d) be the third derivative of d**9/5040 + 3*d**8/4480 - d**6/480 - d**4/12 - 2*d**2. Let r(m) be the second derivative of z(m). Factor r(h).
3*h*(h + 1)**2*(2*h - 1)/2
Let q(i) be the first derivative of -2*i**6/3 + 11*i**5/5 - i**4/4 - 13*i**3/3 + 5*i**2/2 + 2*i + 8. Suppose q(x) = 0. Calculate x.
-1, -1/4, 1, 2
Factor -48*h - h**2 - 4*h**3 - 32 - 16*h**2 + 0*h**3 - 7*h**2.
-4*(h + 2)**3
Let m(g) be the second derivative of g**7/56 + 7*g**6/40 + 57*g**5/80 + 25*g**4/16 + 2*g**3 + 3*g**2/2 + 7*g + 2. Suppose m(x) = 0. Calculate x.
-2, -1
Let c(i) be the second derivative of -i**4/4 - i**3 - 3*i**2/2 + 5*i. Factor c(r).
-3*(r + 1)**2
Factor 0 - 6 - 3*t**2 + 5 - 6*t + 10.
-3*(t - 1)*(t + 3)
Let q = -154 + 4160/27. Let z(f) be the first derivative of -1 + q*f**3 - 1/18*f**4 + 0*f**2 + 0*f. Factor z(m).
-2*m**2*(m - 1)/9
Let c(k) = k**2 + 12*k + 13. Let g be c(-11). Factor -6*d + 3*d**3 + 2*d**g - d**2 + 2*d**2.
3*d*(d - 1)*(d + 2)
Suppose -20 = 2*t - 22. Let m(q) be the first derivative of 2/9*q**3 + 8/3*q - 4/3*q**2 + t. Let m(r) = 0. What is r?
2
Let y(p) = -2*p**2 + 9*p - 7. Let q(x) = x**2 - 3*x + 4. Let z be q(3). Let c(o) = o**2 - 4*o + 3. Let h(b) = z*y(b) + 9*c(b). Factor h(i).
(i - 1)*(i + 1)
Suppose 2*n + n = 0. Factor n*b + 3*b - b**2 + 0*b - 4*b.
-b*(b + 1)
Let r = -92 + 96. Let q(h) be the third derivative of -1/105*h**7 - 3*h**2 + 0*h**3 + 1/15*h**6 + 1/6*h**r + 0*h - 1/6*h**5 + 0. Factor q(m).
-2*m*(m - 2)*(m - 1)**2
Find y such that 0*y**2 + 3/4*y**3 + 3/2 - 9/4*y = 0.
-2, 1
Let y(t) be the third derivative of t**9/5040 - t**8/1680 + t**7/2520 - t**4/12 - t**2. Let d(z) be the second derivative of y(z). Factor d(i).
i**2*(i - 1)*(3*i - 1)
Let g = 47 - 47. Let w = -7/506 - -9/46. Let 0*t + w*t**2 + g - 4/11*t**3 + 2/11*t**4 = 0. What is t?
0, 1
Let s(f) be the first derivative of -f**5/5 - 5*f**4/28 + 3*f**3/7 + 5*f**2/14 - 2*f/7 + 7. Determine q so that s(q) = 0.
-1, 2/7, 1
Let g(u) be the first derivative of 5/6*u**6 + 0*u + 5 + 21/4*u**4 - 17/5*u**5 - 11/3*u**3 + u**2. Factor g(q).
q*(q - 1)**3*(5*q - 2)
Let s(x) be the first derivative of -x**7/126 - x**6/45 + x**4/18 + x**3/18 - 2*x - 2. Let t(n) be the first derivative of s(n). Factor t(y).
-y*(y - 1)*(y + 1)**3/3
Let n(u) be the second derivative of -7*u**5/80 + u**4/4 + 25*u**3/24 + 3*u**2/4 + 29*u. Determine f, given that n(f) = 0.
-1, -2/7, 3
Let g(u) = u**3 - 5*u**2 + u - 2. Let s be g(5). Factor -26*c**2 + 38*c + 6*c**s - 8*c + 2*c - 8.
2*(c - 2)**2*(3*c - 1)
Let v(s) be the third derivative of -s**8/13440 + s**7/5040 + s**6/1440 - s**5/240 - s**4/24 + 4*s**2. Let u(x) be the second derivative of v(x). Factor u(k).
-(k - 1)**2*(k + 1)/2
Let k(u) be the third derivative of -1/4*u**4 + 1/30*u**6 + 0*u + 1/168*u**8 - 4*u**2 - 1/3*u**3 + 1/35*u**7 - 1/15*u**5 + 0. Factor k(x).
2*(x - 1)*(x + 1)**4
Let u(m) be the second derivative of m**5/80 - m**4/24 - m**3/24 + m**2/4 - 5*m. Factor u(x).
(x - 2)*(x - 1)*(x + 1)/4
Let h = -42 + 46. Suppose 4*y + h = 4*j, -j - 5*y = 2*j - 11. Solve -21/5*m**4 + 0 + 3/5*m**j - 6/5*m + 18/5*m**3 + 6/5*m**5 = 0.
-1/2, 0, 1, 2
Let t(u) = 23*u**4 - 13*u**3 - 27*u**2 + 17*u + 4. Let y(o) = 47*o**4 - 25*o**3 - 54*o**2 + 35*o + 7. Let m(d) = 5*t(d) - 2*y(d). Factor m(i).
3*(i - 1)**2*(i + 1)*(7*i + 2)
Let k(f) = 3*f**3 + 12*f**2 + 14*f. Let d(v) = 39*v**3 + 156*v**2 + 183*v. Let g(q) = -2*d(q) + 27*k(q). Suppose g(n) = 0. What is n?
-2, 0
Let m(g) be the first derivative of 2*g**3/21 - 10*g**2/7 + 50*g/7 + 1. Factor m(r).
2*(r - 5)**2/7
Let r(y) be the third derivative of 18*y**7/35 + 13*y**6/10 - y**5/15 - 11*y**4/6 + 4*y**3/3 + 8*y**2. Determine v, given that r(v) = 0.
-1, 2/9, 1/3
Let v(z) = -z**2 + 5*z + 3. Let s be v(5). Factor -4*k**2 + 4*k**2 + 2*k**2 - 6*k - 2*k**s + 2 + 4*k**2.
-2*(k - 1)**3
Let m(x) be the first derivative of -2*x**3/33 - 2*x**2/11 + 22. S