m**2. Factor b(h).
-2*(h + 1)*(h + 2)/11
Let v be (-3146)/(-910) + 2/14. Let -14/5*f + 2/5*f**4 - 2*f**3 + 4/5 + v*f**2 = 0. Calculate f.
1, 2
Let a(k) be the first derivative of -k**4/6 + 10*k**3/9 - 8*k**2/3 + 8*k/3 + 10. Factor a(z).
-2*(z - 2)**2*(z - 1)/3
Let q(j) be the third derivative of -3*j**2 - 1/180*j**5 + 0 + 0*j - 2/9*j**3 + 1/18*j**4. Determine f so that q(f) = 0.
2
What is p in 0*p + 3*p**3 + 0*p + 3*p**3 - 2*p**5 - 4*p**2 = 0?
-2, 0, 1
Let n(w) = w**2 + 1. Let d(h) = -h**3 - 1. Let s be 12/(-30)*(-6 - -1). Let b(t) = s*n(t) + 2*d(t). Suppose b(m) = 0. What is m?
0, 1
Determine k so that 18*k**2 - 60*k + 19*k**2 - 7*k**4 + 8*k**4 - 10*k**3 + 36 = 0.
2, 3
Factor -1/3*w**3 + 0*w - 1/3*w**2 + 0.
-w**2*(w + 1)/3
Let v(p) = 12*p**2 - 72*p + 100. Let x(q) = -4*q**2 + 24*q - 33. Let z(c) = -3*v(c) - 8*x(c). Find j such that z(j) = 0.
3
Let o = 15521/40 - 388. Let u(y) be the third derivative of 0*y - 1/3*y**3 + 1/8*y**4 + 1/480*y**6 - o*y**5 + 0 + y**2. Factor u(f).
(f - 2)**3/4
Let l(a) be the second derivative of a**7/175 - a**6/150 - a**5/50 + a**4/30 - 3*a**2/2 + 2*a. Let w(m) be the first derivative of l(m). What is y in w(y) = 0?
-1, 0, 2/3, 1
Let y(z) be the second derivative of z**7/14 - 3*z**6/10 + 3*z**5/10 + z**4/2 - 3*z**3/2 + 3*z**2/2 - 5*z. Let y(b) = 0. What is b?
-1, 1
Let -2/5*p**4 + 0 + 4/5*p - 4/5*p**3 + 2/5*p**2 = 0. Calculate p.
-2, -1, 0, 1
Factor -2*n**2 + 4*n**3 - 14*n**2 + 40*n + 0*n**2 - 28*n**2.
4*n*(n - 10)*(n - 1)
Let y = -2 - -5. Factor -3/4*p**2 - 1/4*p - 3/4*p**y + 0 - 1/4*p**4.
-p*(p + 1)**3/4
Let j(n) be the second derivative of n**5/5 + 5*n**4/3 + 26*n**3/3 + 8*n**2 + 4*n. Let g(k) = -k. Let b(i) = 20*g(i) + j(i). Factor b(s).
4*(s + 1)*(s + 2)**2
Let s = 159 - 157. Factor 2/5*w - 4/5*w**s + 2/5*w**3 + 0.
2*w*(w - 1)**2/5
Let g(x) = 3*x**3 + 6*x**2 + 4*x - 8. Let m(n) = 6*n**2 + 11*n - 3*n - 16 + 5*n**2 + 5*n**3. Let p(f) = -7*g(f) + 4*m(f). Factor p(b).
-(b - 2)**2*(b + 2)
Let q(m) be the second derivative of -m**10/20160 - m**9/6048 - m**8/6720 - m**4/4 + 3*m. Let k(b) be the third derivative of q(b). Factor k(h).
-h**3*(h + 1)*(3*h + 2)/2
Suppose 4*o + 5*x - 13 = 0, 0 = 3*o + 5*x - 11. Let c be 4/14 - (-4)/(-14). Let -2*a**o + c - 2/3*a = 0. What is a?
-1/3, 0
Factor -g + 0 + 1/2*g**3 - 1/2*g**2.
g*(g - 2)*(g + 1)/2
Let i(p) be the first derivative of -5*p**4 - 26*p**3 - 41*p**2 - 26*p - 3. Let v(a) = -21*a**3 - 78*a**2 - 83*a - 27. Let c(n) = 3*i(n) - 2*v(n). Factor c(t).
-2*(t + 3)*(3*t + 2)**2
Let b(k) be the second derivative of 3/2*k**2 - 3/20*k**5 - 3/2*k**3 + 3*k + 3/4*k**4 + 0. Solve b(l) = 0.
1
Let l(x) be the first derivative of -x**4/12 - x**3/3 + 3*x**2/2 + 6*x - 5. Let h(u) be the first derivative of l(u). Determine o so that h(o) = 0.
-3, 1
Let n be 48/(-40) + (-154)/(-55). Solve -16/5*k**3 - n*k**2 + 42/5*k**4 + 0*k + 0 = 0.
-2/7, 0, 2/3
Let q be (-1 - 0)*(-9)/(-9). Let s be q*(-4 + 2)*1. Determine c, given that 0 + 0*c + 0*c**s + 1/4*c**3 = 0.
0
Let z(l) be the first derivative of 5*l**4/4 + 4*l**3 - 6*l**2 + 2*l - 5. Let u(m) be the first derivative of z(m). Factor u(r).
3*(r + 2)*(5*r - 2)
Let t(s) be the third derivative of s**5/360 + 7*s**2. Suppose t(v) = 0. Calculate v.
0
Let x(p) be the first derivative of -1/14*p**4 + 0*p**2 - 2/21*p**3 + 2 + 0*p. Suppose x(n) = 0. What is n?
-1, 0
Let i(z) be the first derivative of -2 + 0*z**3 + 1/2*z**2 + 1/120*z**6 + 1/60*z**5 + 0*z**4 + 0*z. Let k(m) be the second derivative of i(m). Factor k(j).
j**2*(j + 1)
Let c(u) = -1 - u - u - 3*u**3 - u**2 + u. Let m(q) = 4*q**3 + q**2 + 2*q + 2. Let p = -20 - -23. Let g(a) = p*c(a) + 2*m(a). Solve g(r) = 0 for r.
-1, 1
Let u = 464 + -461. Factor 1/2 - 3/4*g - u*g**2 - 7/4*g**3.
-(g + 1)**2*(7*g - 2)/4
Let a(q) = -2*q**2 - 11 + 0*q**2 - q**3 + 2*q + 8. Let m be a(-3). Factor -2/5*f + 4/5*f**2 + 2/5*f**5 + 0*f**3 - 4/5*f**4 + m.
2*f*(f - 1)**3*(f + 1)/5
Let a(x) be the first derivative of 3*x**5/20 + x**4/4 - x**3/12 - x**2/4 + 15. Find r, given that a(r) = 0.
-1, 0, 2/3
Suppose d**3 + 20*d**4 - 3*d**3 - 8*d**5 - 4*d**5 - 6*d**3 = 0. What is d?
0, 2/3, 1
Let n(g) be the third derivative of g**8/2240 + g**7/840 - g**6/240 - g**5/40 + 5*g**4/24 + 2*g**2. Let b(c) be the second derivative of n(c). Factor b(r).
3*(r - 1)*(r + 1)**2
Suppose y + 3 = -38. Let v = 44 + y. Factor h**v - 1/3*h**4 + 2/3 - h - 1/3*h**2.
-(h - 2)*(h - 1)**2*(h + 1)/3
Let j be ((-3)/63)/((-30)/7). Let u(v) be the third derivative of j*v**5 - v**2 + 1/945*v**7 + 0 + 1/108*v**4 + 1/180*v**6 + 0*v + 0*v**3. Factor u(t).
2*t*(t + 1)**3/9
Let l(m) be the second derivative of m**4/72 + m**3/36 - m**2/6 + 7*m. Factor l(d).
(d - 1)*(d + 2)/6
Let z = 20 + -73. Let b = 213/4 + z. Factor 0 + 1/4*x**2 - b*x.
x*(x - 1)/4
Let z(w) = w**3 - 12*w**2 - 14*w + 13. Let f be z(13). Suppose 6*u - 3*u - 9 = f. Let 2/9 + 2/3*t**2 - 2/9*t**u - 2/3*t = 0. What is t?
1
Suppose 17 = 5*r - 3. Factor -4*p**r + 3*p**2 + 4*p**5 - 6*p**5 + 2*p + p**2.
-2*p*(p - 1)*(p + 1)**3
Let g(z) be the third derivative of -5*z**8/336 - z**7/14 + 49*z**2. Factor g(a).
-5*a**4*(a + 3)
Let c(a) be the first derivative of a**6/1800 - a**5/300 + a**4/120 + a**3 + 4. Let f(y) be the third derivative of c(y). Factor f(d).
(d - 1)**2/5
Find r such that 2/3 - r + 1/3*r**2 = 0.
1, 2
Let c(l) = l**3 + l**2 + l + 1. Let d(s) = 3*s**4 + 15*s**3 + 24*s**2 - 3*s - 3. Let f(q) = -3*c(q) - d(q). Factor f(u).
-3*u**2*(u + 3)**2
Let i(w) = -w**2 + w - 2. Let c be i(0). Let m be 3 + 10*c/8. Solve 0*o**3 + 0*o + m*o**4 + 0 - 1/2*o**2 = 0 for o.
-1, 0, 1
Factor -2/5*m**5 + 0 - 2/15*m - 8/5*m**3 + 4/5*m**2 + 4/3*m**4.
-2*m*(m - 1)**3*(3*m - 1)/15
Let y be 4/(-8)*(3 + -3). Find o, given that -4/5*o**3 + 0 + y*o**4 + 2/5*o + 0*o**2 + 2/5*o**5 = 0.
-1, 0, 1
Let u = 2201/6 + -1096/3. Factor 0*g + u*g**2 + 0 - 3/4*g**3.
-3*g**2*(g - 2)/4
Suppose 5/4*y**3 - 1/4*y**4 + 2 - y - 3/2*y**2 = 0. What is y?
-1, 2
Let w = 4 + -4. Let g(v) be the first derivative of 1 + 2/25*v**5 + 1/20*v**4 + 1/30*v**6 + 0*v + 0*v**3 + w*v**2. Find q, given that g(q) = 0.
-1, 0
Let w(b) be the third derivative of -b**7/840 + b**6/240 + b**4/6 - 2*b**2. Let f(s) be the second derivative of w(s). Solve f(k) = 0 for k.
0, 1
Let a(f) be the first derivative of 2/27*f**3 + 0*f**2 + 1/9*f**4 + 8 + 2/45*f**5 + 0*f. Factor a(z).
2*z**2*(z + 1)**2/9
Determine p so that -2/3*p**2 + 2/9*p**3 + 0 + 4/9*p = 0.
0, 1, 2
Let z(s) be the second derivative of s**5/40 + s**4/6 + 5*s**3/12 + s**2/2 + 8*s. Suppose z(d) = 0. What is d?
-2, -1
Let s = 3 - -1. Let t = s + -1. Let f**t - 5*f**2 - 3*f**2 + 4*f**2 + 2*f + f**3 = 0. What is f?
0, 1
Let w = 2 + 1. Let -6 + r**w - 3*r**3 - 9*r + 5*r**3 = 0. What is r?
-1, 2
Factor -16*i**2 + 13*i - 12*i**3 + 0*i + 4*i - i.
-4*i*(i + 2)*(3*i - 2)
Let d = 13 + -8. Suppose 9 = -0*i - 2*i - 3*k, 0 = 5*i + d*k + 15. Solve i*v + 0 - 10/7*v**5 - 2/7*v**3 - 16/7*v**4 + 4/7*v**2 = 0.
-1, 0, 2/5
Let y(q) = 6*q**3 - 21*q**2 - 33*q + 39. Let p(w) = -3*w**3 + 10*w**2 + 16*w - 20. Let x(g) = 9*p(g) + 4*y(g). Factor x(r).
-3*(r - 2)**2*(r + 2)
Let r(b) be the second derivative of -4/9*b**3 + 0 - 3*b + 4/3*b**2 + 1/18*b**4. Determine q so that r(q) = 0.
2
Let l(v) = 2*v**2 + v + 2. Let q(i) = i**2 + i + 1. Suppose -3*h - 2 = 13. Let c(r) = h*q(r) + 3*l(r). Factor c(w).
(w - 1)**2
Solve 0 - 3/2*s**3 - 3/4*s**2 + 0*s + 9/4*s**4 = 0 for s.
-1/3, 0, 1
Factor 1/7*v**3 + 1/7*v + 0 - 2/7*v**2.
v*(v - 1)**2/7
Let u be (0 + 3)*19/38. Factor -3/2 - u*n**2 + 3*n.
-3*(n - 1)**2/2
Let l be (-3)/(-4)*1*228. Let f = -851/5 + l. Factor 0 + 0*a - f*a**3 + 2/5*a**2 + 2/5*a**4.
2*a**2*(a - 1)**2/5
Let a(n) be the second derivative of n**6/6 - 3*n**5/5 + n**4/3 + 4*n - 5. Suppose a(z) = 0. What is z?
0, 2/5, 2
Let r(c) = c**2 + 3*c - 13. Let l be r(-6). Let q(f) be the second derivative of 0 + 1/16*f**4 - f + 1/8*f**3 + 1/8*f**2 + 1/80*f**l. Factor q(d).
(d + 1)**3/4
Let v(d) be the second derivative of -d**6/50 + 3*d**4/20 - d**3/5 - 13*d. Factor v(i).
-3*i*(i - 1)**2*(i + 2)/5
Factor -16 - 5*f**3 + f**3 + 0*f**3 + 12*f**2.
-4*(f - 2)**2*(f + 1)
Factor 0*r + r**4 + 0 + 0*r**2 + 5/3*r**5 - 2/3*r**3.
r**3*(r + 1)*(5*r - 2)/3
Let a = 34 + -304/9. Factor 2/3*f - a*f**3 + 0*f**2 + 4/9.
-2*(f - 2)*(f + 1)**2/9
Let v(r) be the third deriv