t**2 + t**2.
-2*(t - 2)*(t + 2)
Let j(s) be the third derivative of s**5/12 - 25*s**4/12 + 125*s**3/6 - 6*s**2. Solve j(b) = 0 for b.
5
Let d(k) = -2*k - 7. Let v = 8 - 14. Let h be d(v). Determine j, given that 6*j**5 + 5*j**3 - 5*j**3 - h*j**5 - j**3 = 0.
-1, 0, 1
Let s(q) be the second derivative of -55/4*q**5 - 4*q**2 + 85/6*q**4 - 4*q - 2/3*q**3 + 0. Factor s(p).
-(5*p - 2)**2*(11*p + 2)
Let o(i) = -6*i**3 - 9*i**2 - 12*i - 6. Let x(a) = -7*a**3 - 8*a**2 - 11*a - 6. Let b(t) = -4*o(t) + 3*x(t). Factor b(z).
3*(z + 1)**2*(z + 2)
Let b(f) = 2*f - 12. Suppose 5*n + 5*a = 45, 5 = n - a - 4. Let j be b(n). Solve -5*t + 8*t + 8 - j + t**2 = 0.
-2, -1
Suppose 0*u = 2*u + 5*n - 12, 0 = -n. Factor -2 + 3*y - 3*y**3 - 6*y**2 + u + 2.
-3*(y - 1)*(y + 1)*(y + 2)
Let z = 332 - 1327/4. Determine t, given that 0 + z*t + 1/8*t**2 = 0.
-2, 0
Let u = -158 - -165. Let v(g) be the third derivative of 1/42*g**4 + 0*g**5 - 1/210*g**6 - g**2 + 0 - 1/735*g**u + 1/21*g**3 + 0*g. Find o, given that v(o) = 0.
-1, 1
Let s(d) be the third derivative of -d**7/420 + d**6/240 + d**5/40 - 5*d**4/48 + d**3/6 + 2*d**2. Suppose s(r) = 0. What is r?
-2, 1
Let r(o) be the first derivative of -o**6/45 + 2*o**5/15 - o**4/3 + 4*o**3/9 - o**2/3 - 5*o + 1. Let l(x) be the first derivative of r(x). Factor l(c).
-2*(c - 1)**4/3
Find j, given that -208 + 208 + 3*j**4 - 3*j**3 = 0.
0, 1
Let m(o) be the first derivative of -6*o**5/5 - 13*o**4/5 - 88*o**3/45 - 8*o**2/15 - 17. Solve m(y) = 0.
-2/3, -2/5, 0
Let q(p) = -7*p**5 + 9*p**4 - p**3 + 3*p**2 - 4*p. Let x(d) = 8*d**5 - 10*d**4 + d**3 - 4*d**2 + 5*d. Let o(f) = 7*q(f) + 6*x(f). Factor o(v).
-v*(v - 2)*(v - 1)**2*(v + 1)
Let t(w) be the third derivative of 5*w**8/32 + 211*w**7/210 + 287*w**6/240 - 73*w**5/60 - 35*w**4/12 - 2*w**3 - 3*w**2. Determine r so that t(r) = 0.
-3, -1, -2/5, -2/7, 2/3
Let j(b) be the third derivative of 1/315*b**7 + 0*b**3 - 1/36*b**4 - 2*b**2 + 0*b + 1/30*b**5 - 1/60*b**6 + 0. Factor j(i).
2*i*(i - 1)**3/3
Let a = 144 - 285/2. Factor -9/2*p**3 + 6*p + 0 - a*p**4 + 0*p**2.
-3*p*(p - 1)*(p + 2)**2/2
Suppose -3*p + 80 = 2*p. Suppose 4*i = 8*i - p. Factor -6*k + 6*k**3 - 7*k**2 - 17*k**2 + i - 20*k**3.
-2*(k + 1)**2*(7*k - 2)
Suppose s - 3 + 1 = 0. Factor a**2 + a**3 - 2*a - a**3 + 3*a**2 - s*a**3.
-2*a*(a - 1)**2
Let g be 0*(7/(-2))/(-7). Suppose g = -12*p + 7*p. Factor -v**5 + 7/3*v**4 - 5/3*v**3 + p + 1/3*v**2 + 0*v.
-v**2*(v - 1)**2*(3*v - 1)/3
Let o(s) be the second derivative of s**8/1680 + s**7/630 - s**6/540 - s**5/90 - s**4/72 + s**3/2 - s. Let g(a) be the second derivative of o(a). Factor g(d).
(d - 1)*(d + 1)**2*(3*d + 1)/3
Let q(w) = -10*w**3 - 20*w**2 - 14*w - 2. Let f(c) = 21*c**3 + 41*c**2 + 29*c + 4. Let s(j) = 4*f(j) + 10*q(j). Factor s(m).
-4*(m + 1)**2*(4*m + 1)
Let f = -17 - -19. Suppose 4*p - 13 = -5*i, -3*i + 0 = f*p - 7. Solve 0 + 0*a - 2/5*a**p - 2/5*a**4 - 4/5*a**3 = 0 for a.
-1, 0
Let z(b) be the third derivative of -b**5/120 - b**4/12 - b**3/3 + 14*b**2. Factor z(r).
-(r + 2)**2/2
Find i, given that -8/5*i + 6/5 - 4/5*i**2 + 8/5*i**3 - 2/5*i**4 = 0.
-1, 1, 3
Let h(f) be the first derivative of -f**5/10 - 5*f**4/6 - f**3 + 9*f**2 + 4*f - 3. Let a(p) be the first derivative of h(p). Factor a(i).
-2*(i - 1)*(i + 3)**2
Let d(u) = -u**3 - 7*u**2 - 6*u + 3. Let w = 8 + -14. Let g be d(w). Determine z, given that -1/2*z**g - 1/2 + 1/2*z + 1/2*z**2 = 0.
-1, 1
Let a(l) be the second derivative of -3*l**5/20 + 7*l**4/4 - 7*l**3 + 12*l**2 + 29*l. Solve a(f) = 0.
1, 2, 4
Let d(s) = -2*s**3 + 4*s**2 + 2*s - 2. Let k be d(2). What is g in 0*g**k - 1/5*g**4 - 2/5*g**3 + 2/5*g + 1/5 = 0?
-1, 1
Let q = 2 - 2. Let t = 0 + 5. Factor 0*z + q + 1/3*z**t - 2/3*z**4 + 0*z**2 + 1/3*z**3.
z**3*(z - 1)**2/3
Let p(k) be the first derivative of k**8/3360 - k**7/420 + k**6/144 - k**5/120 - k**3 - 2. Let o(y) be the third derivative of p(y). Factor o(s).
s*(s - 2)*(s - 1)**2/2
Let d be 3/2*8/42. Factor -10/7*c**2 + 2/7 + d*c + 6/7*c**3.
2*(c - 1)**2*(3*c + 1)/7
Let d(l) be the third derivative of -1/20*l**5 - 4*l**2 + 0*l - 1/70*l**7 + 0*l**4 + 0 - 1/20*l**6 + 0*l**3. Factor d(c).
-3*c**2*(c + 1)**2
Let x(k) be the third derivative of k**9/30240 - k**8/5040 - k**5/60 + 2*k**2. Let d(w) be the third derivative of x(w). Factor d(o).
2*o**2*(o - 2)
Let y(z) be the third derivative of z**9/10584 - z**8/2940 + z**7/2940 + z**3 - 6*z**2. Let u(s) be the first derivative of y(s). Factor u(x).
2*x**3*(x - 1)**2/7
Let u(g) be the second derivative of g**4/8 - g**3/12 + 6*g. Suppose u(m) = 0. Calculate m.
0, 1/3
Let l(v) be the third derivative of v**6/480 - 7*v**5/240 + 5*v**4/32 - 3*v**3/8 + 33*v**2. Factor l(w).
(w - 3)**2*(w - 1)/4
Let d be 5/(-5) + 0 + 1. Suppose d = -3*u - 0*u + 9. Factor -j**3 - 6*j + 3*j**u - 6*j**2 - 4*j**3 - 2.
-2*(j + 1)**3
Suppose -2*y = -2*i + 14, -6 = -3*i - 4*y + 2*y. What is b in -8*b**i + 5*b**4 - 6*b**3 + 3*b**5 + 3*b**4 + 3*b**4 = 0?
-2, 0, 1
Let h be (-1 + 0)/((175/168)/(-5)). Solve 0*z + 0 - 12/5*z**4 - h*z**3 - 2/5*z**5 - 16/5*z**2 = 0.
-2, 0
Let 8/9 - 16/3*b + 6*b**2 + 40/9*b**3 = 0. What is b?
-2, 1/4, 2/5
Let i(u) be the second derivative of -u**6/60 - u**5/16 + 5*u**3/24 + u**2/4 + 9*u - 3. Suppose i(n) = 0. Calculate n.
-2, -1, -1/2, 1
Let k(z) be the third derivative of z**8/1008 - z**6/360 - 7*z**2. Factor k(r).
r**3*(r - 1)*(r + 1)/3
Factor 10/3*t + 8/3 + 2/3*t**2.
2*(t + 1)*(t + 4)/3
Let p(g) be the third derivative of -g**5/60 + g**4/12 - g**3/6 + 12*g**2. Factor p(c).
-(c - 1)**2
Let y = -17 + 2. Let c be 10/y*3/(-4). Factor 0 - a**3 + 1/2*a**4 + c*a**2 + 0*a.
a**2*(a - 1)**2/2
Factor -4*f**3 + 4 - 4*f**3 + 20*f**2 - 13*f - 3*f.
-4*(f - 1)**2*(2*f - 1)
Let s(u) = u**5 + u**4 - 2*u**3 + 4*u**2 + u + 7. Let y(z) = -z**5 - z**4 + 2*z**3 - 3*z**2 - z - 6. Let x(c) = 5*s(c) + 6*y(c). Find d such that x(d) = 0.
-1, 1
Let s(m) be the second derivative of m**4/36 + m**3/6 - 46*m. Suppose s(t) = 0. Calculate t.
-3, 0
Factor 32/3*i + 16/3*i**2 - 32/3*i**3 - 2/3*i**5 + 14/3*i**4 - 32/3.
-2*(i - 2)**4*(i + 1)/3
Let x(t) be the second derivative of -t**5/210 - t**4/42 - t**3/21 - t**2/2 - 8*t. Let z(u) be the first derivative of x(u). Let z(a) = 0. What is a?
-1
Suppose -5*p + 4*p - 4 = 0. Let t = p + 8. Determine k so that -2/5*k**2 - 2/5*k**t + 0 + 0*k - 4/5*k**3 = 0.
-1, 0
Let k = -3/5 - -11/10. Factor -3/2*z**2 - k + 3/2*z + 1/2*z**3.
(z - 1)**3/2
Let s = 1 - -1. Suppose -2*w**s - 2 + 7*w + 0*w**2 + 0*w**2 - 3*w**2 = 0. What is w?
2/5, 1
Suppose 2*l = 2*y - 2*l - 16, 3*l + 12 = 0. Factor -2/9*q**2 + 2/9*q + y.
-2*q*(q - 1)/9
Let r = 6 - 3. Suppose -6 = -5*d + r*d. Factor f**3 - 6*f + 0*f**d + 5*f.
f*(f - 1)*(f + 1)
Determine y so that 6/5*y**2 + 3/5*y**3 + 0 + 0*y = 0.
-2, 0
Let v be ((-24)/(-30))/((-4)/(-10)). Factor 4*a + 2*a**2 + 2 - a**2 + a**v.
2*(a + 1)**2
Let v(z) be the third derivative of -z**6/30 + z**5/3 - z**4/2 - 6*z**3 - 2*z**2. Suppose v(m) = 0. What is m?
-1, 3
Let v be 8/3 - (-5)/15. Suppose v*i + 3*k - 15 = 0, 5*i = k + 22 + 3. Factor -i*y**3 - 10*y - y**3 - 14*y**2 - 10 + 8.
-2*(y + 1)**2*(3*y + 1)
Let g(o) be the first derivative of 3/8*o**4 + 0*o - 1/6*o**3 - 1/2*o**2 - 1. Factor g(w).
w*(w - 1)*(3*w + 2)/2
Suppose 0 = 4*a - 5*x + 25, -8*a + 3*a + 15 = 3*x. Factor -1/2*g**4 + 1/6*g**5 + 1/2*g**3 + a*g + 0 - 1/6*g**2.
g**2*(g - 1)**3/6
Let w(b) = -b**3 + 9*b**2 + 4. Let u be w(9). Factor 4*s**2 + 57*s**u - 1 - 59*s**4 - 1.
-2*(s - 1)**2*(s + 1)**2
Let m(s) be the second derivative of s**4/12 + s**3/6 - s**2/2 + s. Let x = 1 + 1. Let o(l) = 3*l**2 + 5*l. Let a(t) = x*m(t) - o(t). Factor a(n).
-(n + 1)*(n + 2)
Factor 2*b + 2*b**2 + 4*b - 2*b**4 + 2*b**3 - 8*b.
-2*b*(b - 1)**2*(b + 1)
Suppose -130 = -33*t - 64. Factor -1/7*d**3 + 0*d + 1/7*d**4 - 1/7*d**t + 1/7*d**5 + 0.
d**2*(d - 1)*(d + 1)**2/7
Let s be 608/(-230) + 1 - -2. Let a = s + 1/23. Factor -2/5*t + a*t**2 + 0.
2*t*(t - 1)/5
Let k(o) = o**2 - 6*o + 3. Let l be k(6). Factor 3*p**2 + p - p**l - 9*p**2 - p**4 + 7*p**2.
-p*(p - 1)*(p + 1)**2
Suppose 3/5*v**3 + 0 + 0*v - 9/5*v**2 = 0. Calculate v.
0, 3
Let x(y) be the third derivative of y**2 - 1/360*y**6 + 1/36*y**5 + 2/9*y**3 + 0 - 1/9*y**4 + 0*y. Suppose x(i) = 0. Calculate i.
1, 2
Let v(k) be the first derivative of 4 + 2/5*k**5 - 1/2*k**4 + k**2 + 0*k 