4 - 1/270*i**5 + 0*i**3. Factor a(c).
2*c**2*(c - 1)/9
Let r = 289 + -10694/37. Let v = 39/74 + r. Find u, given that v + 0*u - 1/2*u**2 = 0.
-1, 1
Let v(o) be the third derivative of -o**5/15 - 5*o**4/6 - 7*o**2. Factor v(j).
-4*j*(j + 5)
Determine k so that -6*k**2 + 6*k + k**3 - 6 - 7*k + 7*k + 5*k = 0.
1, 2, 3
Let h(i) be the first derivative of i**4/24 - i**3/3 + i**2 - i - 1. Let k(d) be the first derivative of h(d). Solve k(b) = 0.
2
Let t(m) be the first derivative of m**6/180 + m**5/45 + m**4/36 + 3*m**2/2 - 4. Let u(l) be the second derivative of t(l). Factor u(j).
2*j*(j + 1)**2/3
Let m(d) = d + 2*d**2 - d**2 - 1 + 4*d. Let b be m(-6). Factor 0*k**b + k**5 + 0*k**3 + k**3 - 2*k**4.
k**3*(k - 1)**2
Let i(w) be the second derivative of w**8/1680 - w**7/168 + w**6/45 - w**5/30 + w**3/6 - w. Let f(g) be the second derivative of i(g). Factor f(u).
u*(u - 2)**2*(u - 1)
Let o = 1471/7 + -210. Solve -2/7*n**2 - o*n**3 + 0 - 1/7*n = 0.
-1, 0
Let s(d) be the third derivative of 0*d - 5/24*d**4 + 3*d**2 + 0 - 1/20*d**5 - 1/3*d**3. Suppose s(m) = 0. Calculate m.
-1, -2/3
Let d(g) be the first derivative of g**8/2184 - g**7/1365 - g**6/780 + g**5/390 - 2*g**2 - 3. Let y(a) be the second derivative of d(a). Factor y(z).
2*z**2*(z - 1)**2*(z + 1)/13
Let m(p) = 5*p**5 - 5*p**3 - p**2 - p + 1. Let n(b) = b**5 - b**3 - b**2 - b + 1. Let y(a) = -m(a) + n(a). Suppose y(u) = 0. What is u?
-1, 0, 1
Let s = 700 + -697. Factor 0 + 1/5*c**2 + 2/5*c - 1/5*c**4 - 2/5*c**s.
-c*(c - 1)*(c + 1)*(c + 2)/5
Let f(t) be the third derivative of -t**8/112 - t**7/70 + t**6/20 + t**5/10 - t**4/8 - t**3/2 + 15*t**2. Factor f(u).
-3*(u - 1)**2*(u + 1)**3
Let v(q) = q**2 + 9*q. Let j be v(-9). Factor -3*a**2 - 1 + j*a - 3*a - 23*a**3 + 22*a**3.
-(a + 1)**3
What is a in 8*a**5 + 14*a**5 + 4*a**3 - 6*a**5 + 20*a**4 = 0?
-1, -1/4, 0
Let y(m) be the second derivative of -m**8/48 - m**7/42 + m**6/60 - 3*m**2/2 - m. Let u(o) be the first derivative of y(o). Factor u(v).
-v**3*(v + 1)*(7*v - 2)
Let x(f) be the second derivative of 13*f**4/54 - 5*f**3/9 + 2*f**2/9 + 2*f. Factor x(s).
2*(s - 1)*(13*s - 2)/9
Let g(l) = -l**3 - 8*l**2 + 2. Let o be g(-8). What is a in 2*a - o - 1 - 2 + 1 + 2*a**2 = 0?
-2, 1
Let v(h) be the second derivative of -h**4/20 + h**3 - 15*h**2/2 - h. Suppose v(g) = 0. Calculate g.
5
Let a = -729 - -1831/2. Let r = a - 2575/14. Determine d so that -12/7*d + 2/7 + r*d**2 = 0.
1/3
Let i(w) be the third derivative of -w**5/180 - 5*w**4/72 - w**3/3 - 12*w**2. Suppose i(c) = 0. What is c?
-3, -2
Let h = 8 + -4. Suppose 0*l - 1/3*l**2 + 0 - 1/3*l**h + 2/3*l**3 = 0. What is l?
0, 1
Factor -1/3*a**3 - 1/3*a**4 + 4/3*a**2 + 0 + 4/3*a.
-a*(a - 2)*(a + 1)*(a + 2)/3
Let n(a) be the second derivative of a**6/200 + a**5/100 - a**4/40 - a**3/10 + 2*a**2 - 4*a. Let p(k) be the first derivative of n(k). Factor p(x).
3*(x - 1)*(x + 1)**2/5
Let s = 12 + -8. Suppose -12 = j - s*j. Factor -w + 0*w**4 - 4*w**j - w**5 - 3*w**2 - w**2 - 6*w**3.
-w*(w + 1)**4
Let c = -383/8 - -48. Let d(z) be the first derivative of 1/4*z + c*z**4 + 1/6*z**3 - 3/8*z**2 - 3/20*z**5 + 2 + 1/24*z**6. Determine k, given that d(k) = 0.
-1, 1
Suppose 115 - 124 = -3*j. Factor -4*g**j + 0*g**2 + 16/3*g + 0 + 4/3*g**4.
4*g*(g - 2)**2*(g + 1)/3
Let d be ((-12)/(-8))/((-2)/(-4)). Suppose -5 = 3*y + d*a - a, 0 = -y - a - 3. Factor -5*k**2 - 3 + y - 4*k**3 + 11*k**2.
-2*(k - 1)**2*(2*k + 1)
Let s(n) be the second derivative of n**7/294 - n**6/70 + n**5/140 + n**4/28 - n**3/21 - 6*n. Solve s(k) = 0 for k.
-1, 0, 1, 2
Let w(g) = g**2 - 25*g + 150. Let z be w(15). Factor 0 + z*x**2 + 0*x - 1/2*x**4 - 1/2*x**3.
-x**3*(x + 1)/2
Let s(h) be the second derivative of -h**9/1008 + h**8/140 - h**7/56 + h**6/60 - h**3/2 - 4*h. Let b(q) be the second derivative of s(q). Factor b(p).
-3*p**2*(p - 2)*(p - 1)**2
Suppose 2*g + 3 - 11 = 0. Let x = g + -2. Suppose 8*w - 2 - 7*w**3 - 6*w**4 - w + 11*w**x - 3*w**4 = 0. What is w?
-1, 2/9, 1
Factor 0 + 0*o**3 - 2/7*o**4 + 1/7*o**5 - 1/7*o + 2/7*o**2.
o*(o - 1)**3*(o + 1)/7
Let w(p) be the second derivative of -p**5/140 + p**4/42 + p**3/42 - p**2/7 + 12*p. Solve w(m) = 0 for m.
-1, 1, 2
Find u such that -4/9*u**2 + 0*u - 2/3*u**3 + 0*u**4 + 0 + 2/9*u**5 = 0.
-1, 0, 2
Let g(v) be the first derivative of -1 - 1/8*v**4 + 1/3*v**3 + 0*v + v**2 + 1/60*v**5. Let o(u) be the second derivative of g(u). What is m in o(m) = 0?
1, 2
Suppose 66*a - 52*a = 0. Factor -4/3*g**2 + 0 - 2/3*g**5 - 8/3*g**4 + a*g - 10/3*g**3.
-2*g**2*(g + 1)**2*(g + 2)/3
Let k(n) be the first derivative of -n**6/1440 + n**5/240 - 11*n**3/3 - 6. Let q(s) be the third derivative of k(s). Factor q(a).
-a*(a - 2)/4
Suppose -1 = 4*p - 9. Suppose 2*z + 2*z + w - 2 = 0, -z + p = w. Suppose z*t + 1/4*t**3 + 0 + 1/4*t**2 = 0. Calculate t.
-1, 0
Let w(g) = -3 + 3*g + 0*g**2 + 4*g**2 - g**2. Let x(b) = b**3 - b**4 + 6*b + 6*b**2 + 5*b**4 - 3*b**4 - 7. Let y(z) = -7*w(z) + 3*x(z). Factor y(t).
3*t*(t - 1)*(t + 1)**2
Let x(h) = h**2 + 8*h - 46. Let d be x(-12). Factor 4/3*a**4 - 1/3*a + 0 - 2*a**3 + 4/3*a**d - 1/3*a**5.
-a*(a - 1)**4/3
Let b(d) be the third derivative of -d**5/60 - d**4/4 + d**3/3 + 6*d**2. Let x be b(-6). Find m, given that 1/4*m**x - 1/2 - 1/4*m = 0.
-1, 2
Let a(s) be the first derivative of s**3/6 - s**2 - 5*s/2 + 21. Determine x so that a(x) = 0.
-1, 5
Suppose 4*h**5 + 5*h + 8*h**2 + 13*h - 22*h - 8*h**4 = 0. What is h?
-1, 0, 1
Solve 1/3*l**2 - 4/3 - l = 0.
-1, 4
Let o be (-5)/(100/(-16)) + 0. Let t(d) be the first derivative of -11/4*d**4 - 3*d**3 - o*d**5 - 1/2*d**2 + d - 2. What is h in t(h) = 0?
-1, 1/4
Suppose j = -j + 30. Suppose -8*h + j = -3*h. Factor -2*u**4 + 3*u**3 - u - 2*u**h + 2*u**2 - u**3 + u**5.
u*(u - 1)**3*(u + 1)
Let z(p) be the third derivative of p**8/1344 + p**7/210 + p**6/160 + 3*p**2 - 4*p. Factor z(a).
a**3*(a + 1)*(a + 3)/4
Let i(p) be the third derivative of 1/240*p**6 - 1/48*p**4 + 0*p + 0*p**3 + 0 + 0*p**5 + p**2. Factor i(j).
j*(j - 1)*(j + 1)/2
Suppose -4*q = q. Let l = -51 + 51. Factor q*a + l + 1/3*a**2 + 1/3*a**3.
a**2*(a + 1)/3
Factor 2/17*q**5 + 0*q**3 - 2/17*q + 0 + 4/17*q**4 - 4/17*q**2.
2*q*(q - 1)*(q + 1)**3/17
Suppose x = -0*x. Factor -v + v + x*v**2 - v**2 - v.
-v*(v + 1)
Determine g so that -3/7*g**2 + 4/7*g - 1/7 = 0.
1/3, 1
Let w(c) be the second derivative of 0*c**3 - 3/40*c**5 - 2*c + 0 + 0*c**2 + 1/8*c**4. Factor w(p).
-3*p**2*(p - 1)/2
Let z = -51 - -20. Let y = z + 125/4. Let -y + 1/2*i - 1/4*i**2 = 0. Calculate i.
1
Factor 86*y - 110*y**2 - 425*y**3 + 28*y + 183*y**3 - 18.
-2*(y + 1)*(11*y - 3)**2
Factor 7*z**3 + 3*z - 3*z**4 + 7*z - z + 2*z**4 - 15*z**2.
-z*(z - 3)**2*(z - 1)
Determine q so that -2/5*q + q**2 + 0 - 4/5*q**3 + 1/5*q**4 = 0.
0, 1, 2
Let j(g) be the third derivative of -g**5/60 + 10*g**2. Find q such that j(q) = 0.
0
Let q(r) = r**3 - 2*r**2 - r - 3. Let t be q(3). Let n = -5/4 + 7/4. Factor 9/4*d + 3/4*d**4 + n + 11/4*d**t + 15/4*d**2.
(d + 1)**3*(3*d + 2)/4
Let c(v) be the second derivative of -3*v**7/112 + 11*v**6/240 - v**5/40 - 2*v**3/3 + 8*v. Let b(o) be the second derivative of c(o). Factor b(l).
-3*l*(3*l - 1)*(5*l - 2)/2
Solve -3*c**2 - 3/2*c**4 + 0*c + 9/2*c**3 + 0 = 0 for c.
0, 1, 2
Suppose 12/19*g - 16/19 - 2/19*g**2 = 0. Calculate g.
2, 4
Suppose 0*v = -3*v - 4*u - 181, 0 = -2*u - 8. Let l be (-6)/(-33) + 10/v. Factor l + 0*g - 2/3*g**2.
-2*g**2/3
Let m be ((-4)/(-5))/((-3)/(-15)). Let o(v) = 10*v**4 - 18*v**3 - 10*v**2 + 18*v - 8. Let q(x) = x**4 + 1. Let z(i) = m*q(i) + o(i). Factor z(w).
2*(w - 1)**2*(w + 1)*(7*w - 2)
Factor -1/3*x**3 + 1/3*x - 1/3*x**2 + 1/3*x**4 + 0.
x*(x - 1)**2*(x + 1)/3
Let y = 13/57 + 2/19. Let s = 1 + -1. Factor -y*w + 1/3*w**2 + s.
w*(w - 1)/3
Let w(f) = -6*f**2 - 3*f + 3. Let t be -1*1 - 0/9. Let u(x) = x**2 + 1. Let b(c) = t*w(c) - 3*u(c). Determine i, given that b(i) = 0.
-2, 1
Suppose 28 = 5*w + 5*o - 2, 4*w - 24 = -3*o. Let n = -6 + w. Factor -4/7*u**2 + 4/7*u**4 + n + 0*u**3 + 2/7*u**5 - 2/7*u.
2*u*(u - 1)*(u + 1)**3/7
Let v(r) = r**4 + r**3 - r**2 + r - 1. Let b(w) = -731*w**4 - 245*w**3 + 380*w**2 - 102*w + 10. Let u(g) = 2*b(g) + 4*v(g). Factor u(a).
-2*(a + 1)*(9*a - 2)**3
Let c(n) be the third derivative of 1/588*n**8 - 6*n**2 - 11/210*n**5 - 1/6*n**4 + 4/21*n**3 + 19/1470*n**7 + 0*n + 0 +