 5 - 3/2*b**4. Factor u(a).
-3*a**2*(a + 1)**2
Let m(n) be the third derivative of -n**7/42 - n**6/12 + n**5/3 + 5*n**4/12 - 5*n**3/2 + 19*n**2. Suppose m(t) = 0. Calculate t.
-3, -1, 1
Let x(m) be the first derivative of -m**3/12 - 9*m**2/8 - 2*m - 26. Let x(i) = 0. What is i?
-8, -1
Find v such that 15*v - 8*v**2 - 7*v**2 - 5*v**2 + 15*v**2 - 10 = 0.
1, 2
Let y(m) = 2*m**3 - 4 + 4*m**4 + 3*m - 4*m - m**3 + 3*m**2. Let o(d) = 9*d**4 + 3*d**3 + 7*d**2 - 3*d - 9. Let t(r) = 3*o(r) - 7*y(r). Solve t(z) = 0 for z.
-1, 1
Let p(d) = -d**3 + 1. Let m(r) = 7*r**3 - 16*r**2 - 3. Let i(l) = m(l) + 3*p(l). Find c, given that i(c) = 0.
0, 4
Suppose -1 = -3*w + 5*c, 3*w - c = -0*c + 5. Find p such that p**2 - 3 - 3*p**w + 5*p + 5 - 5*p**3 = 0.
-1, -2/5, 1
Suppose 2 = 6*i - 16. Let u(b) be the second derivative of 1/30*b**5 + 1/18*b**4 + 0 - 2/9*b**i - 3*b + 0*b**2. Determine q so that u(q) = 0.
-2, 0, 1
Let x = 4/245 + 143/245. Factor 1/5*o**2 - x*o + 2/5.
(o - 2)*(o - 1)/5
Let w be -1 - 36/33*-1. Let s(k) be the first derivative of -1/11*k**4 + 1/33*k**6 + 2/55*k**5 + 3 + 2/11*k - 4/33*k**3 + w*k**2. Solve s(c) = 0 for c.
-1, 1
Let h(c) be the third derivative of 0*c + 1/30*c**5 + 0*c**4 + 0 + c**2 + 0*c**6 + 0*c**3 - 1/105*c**7. Let h(g) = 0. Calculate g.
-1, 0, 1
Let i = 204 + -204. Factor 18/7*l**2 + 4/7*l + i + 2*l**3.
2*l*(l + 1)*(7*l + 2)/7
Let a(w) be the first derivative of w**3/3 + 39*w**2/8 - 5*w/2 - 50. Suppose a(n) = 0. What is n?
-10, 1/4
Let q(b) be the second derivative of 0*b**2 + 1/3*b**3 + 0 - 1/21*b**7 - b + 2/15*b**6 - 1/3*b**4 + 0*b**5. What is g in q(g) = 0?
-1, 0, 1
Let d(u) be the third derivative of u**8/168 + u**7/35 + u**6/60 - u**5/10 - u**4/6 + 10*u**2. Determine g so that d(g) = 0.
-2, -1, 0, 1
Let z = -10253/3 - -3471. Factor -64/3 - 20/3*k**4 - z*k**2 - 2/3*k**5 - 160/3*k - 80/3*k**3.
-2*(k + 2)**5/3
Let s = 24/19 - 77/76. Find f such that -s*f**4 - 1 + 3*f + 3/2*f**3 - 13/4*f**2 = 0.
1, 2
Let p be (-5)/(-2) + (-4)/(-8). Let c(n) = -n**2 - n + 4. Let b be c(0). Solve 2*r**2 + b*r**2 - 5*r**2 - r**5 - 3*r**3 + p*r**4 = 0.
0, 1
Let d(r) be the second derivative of 0*r**5 - 1/2*r**4 + 1/5*r**6 - 1/2*r**3 - 6*r + 0 + 1/14*r**7 + 0*r**2. Factor d(y).
3*y*(y - 1)*(y + 1)**3
Let j = 9 - 4. Factor -j*d**2 + 5*d + 5 + d**2 - 6.
-(d - 1)*(4*d - 1)
Factor -10*w**3 + 5*w**2 - 2*w - 2*w**2 + 9*w**3.
-w*(w - 2)*(w - 1)
Let z(u) be the first derivative of 2*u**6/21 + 8*u**5/35 + u**4/7 + 3. Suppose z(h) = 0. Calculate h.
-1, 0
Let h = 22 - 18. Let f(z) be the first derivative of 0*z**3 - 1/2*z**h + z**2 + 0*z + 2. Factor f(n).
-2*n*(n - 1)*(n + 1)
Let r(n) be the second derivative of 2/9*n**2 - 1/54*n**4 + 1/27*n**3 + 0 - 4*n. Factor r(p).
-2*(p - 2)*(p + 1)/9
Let k = -4 + 1. Let l be k/3 + 0 + 3. Solve 2*y - 2*y**2 + 1 + y**l - 2 = 0.
1
Solve 0*r**2 + 2/9*r**4 + 0*r + 0*r**3 + 0 + 2/9*r**5 = 0 for r.
-1, 0
Let s(p) be the first derivative of p**5 - 3*p**4/4 - 7*p**3/3 + 3*p**2/2 + 2*p - 7. Factor s(t).
(t - 1)**2*(t + 1)*(5*t + 2)
Let s be 1*2*(-3)/6. Let t be s/1*(-7 - -7). Factor -1/4*p**2 + t*p + 1/4*p**5 - 1/4*p**3 + 1/4*p**4 + 0.
p**2*(p - 1)*(p + 1)**2/4
Let d be (-2)/(-3)*36/8. Suppose 8 = d*b + 2. Factor 2*y + 4*y**2 - y**b - 2*y**2.
y*(y + 2)
Let v(j) be the third derivative of -1/24*j**4 + 1/420*j**7 - 1/120*j**5 + 0 + 1/120*j**6 + 4*j**2 + 0*j + 0*j**3. Factor v(o).
o*(o - 1)*(o + 1)*(o + 2)/2
Let c(f) = -f**2 + 3. Let l be c(0). Suppose l = b + 1. Factor -2*d**2 - 1/2 - b*d.
-(2*d + 1)**2/2
Factor -9/5*l**2 + 9/5*l + 3/5*l**3 - 3/5.
3*(l - 1)**3/5
Let r = 484/3 - 160. Factor -r*y**2 + y + 1/3.
-(y - 1)*(4*y + 1)/3
Suppose f + o - 1 = 0, 3*o - 4 = f + 3. Let z be (f - 1) + (-15)/(-6). Let 3/2*p**4 + 3/2*p**3 + 0 + 1/2*p**2 + 0*p + z*p**5 = 0. Calculate p.
-1, 0
Solve 0*s + 2/17*s**2 + 0 + 2/17*s**3 = 0 for s.
-1, 0
Let l(h) be the second derivative of h**6/150 + 3*h**5/100 + h**4/20 + h**3/30 - 3*h. Let l(u) = 0. Calculate u.
-1, 0
Let o(x) be the first derivative of -x**6/3 + 14*x**5/5 - 19*x**4/2 + 50*x**3/3 - 16*x**2 + 8*x + 5. Solve o(f) = 0.
1, 2
Let z be (-1 + 14/4)*4. Suppose 0*i = 5*i - z. Factor -2/3 + 1/3*c**3 - 4/3*c**i + 5/3*c.
(c - 2)*(c - 1)**2/3
Let f = -337/4 - -86. Let y = 65 + -255/4. Find l, given that -7/4*l**2 + 3/4*l**3 + f*l**4 + 0 + 1/2*l - y*l**5 = 0.
-1, 0, 2/5, 1
Suppose -3/4 - 1/4*r**2 + r = 0. Calculate r.
1, 3
Let s(m) be the third derivative of 1/50*m**5 - 3*m**2 - 2/15*m**3 - 1/60*m**4 - 1/525*m**7 + 1/300*m**6 + 0*m + 0. Determine x, given that s(x) = 0.
-1, 1, 2
Let f(c) be the first derivative of 3*c**4/8 - 4*c**3/3 + 7*c**2/4 - c - 9. Suppose f(d) = 0. Calculate d.
2/3, 1
Suppose -4*x + o = -3, -x - 12 = 5*o + 3. Let j(w) be the first derivative of -3/4*w**4 - 3/5*w**5 + 0*w - 1/3*w**3 - 3 - 1/6*w**6 + x*w**2. Factor j(m).
-m**2*(m + 1)**3
Suppose 91 = 3*v + 85. Let y(k) be the third derivative of 0*k**3 - 1/12*k**4 - 1/240*k**6 + 0*k + 0 - k**v + 1/30*k**5. Factor y(l).
-l*(l - 2)**2/2
Let p = -4 - -9. Let b(o) = 14*o**2 - 18*o + 12. Let h(f) = 9*f**2 - 12*f + 8. Let z(k) = p*b(k) - 8*h(k). Factor z(j).
-2*(j - 2)*(j - 1)
Let w(f) be the second derivative of -f**3/2 + f. Let k be w(-1). Factor -u**k - 6*u + 6*u**2 - u**3 + 1 + 1.
-2*(u - 1)**3
Let p be 0 + 5/((-10)/(-4)). Suppose 2*m = p*y + 11 - 3, -4*y = -m + 10. Factor m*s**2 - 3*s**2 - 2*s**3 - 9*s**5 + 7*s**4 + 5*s**5.
-s**2*(s - 1)**2*(4*s + 1)
Let h(v) = -v**4 - v**3 + 2*v**2 + 6*v. Let w(z) = -3*z**4 - z**3 + 5*z**2 + 13*z. Let r(s) = 5*h(s) - 2*w(s). Let r(d) = 0. What is d?
-1, 0, 2
Let f(h) be the third derivative of h**7/12600 + h**6/1800 + h**5/600 + 5*h**4/12 + 9*h**2. Let m(o) be the second derivative of f(o). Factor m(s).
(s + 1)**2/5
Let t(u) be the second derivative of 16*u**7/231 + 56*u**6/165 + 73*u**5/110 + 43*u**4/66 + u**3/3 + u**2/11 - u. Solve t(r) = 0.
-1, -1/4
Suppose -2*y**3 + 0*y + 0 + 0*y**2 - 5/3*y**5 - 17/3*y**4 = 0. Calculate y.
-3, -2/5, 0
Let g(j) be the second derivative of -j**7/231 - 2*j**6/165 + j**4/33 + j**3/33 + 16*j. Suppose g(i) = 0. What is i?
-1, 0, 1
Let b(n) be the second derivative of 0 + 0*n**2 - 8*n - 1/30*n**4 - 1/15*n**3. Factor b(y).
-2*y*(y + 1)/5
Let u = -16 - -19. Find b such that 0*b**3 + 4*b**u + 15*b + 6 + 12*b**2 - b**3 = 0.
-2, -1
Let d = -1276 + 11473/9. Let a = 13/9 + d. Suppose 0 + 0*g**2 - 2/9*g**3 - a*g**5 + 0*g + 4/9*g**4 = 0. Calculate g.
0, 1
Let h(j) be the second derivative of -j**7/63 + j**6/45 + j**5/30 - j**4/18 - 8*j. Factor h(m).
-2*m**2*(m - 1)**2*(m + 1)/3
Let n = 7 + -6. Let q(c) = c**4 + 5*c**3 - c**2 - 3*c - 2. Let k = -1 + -1. Let v(t) = -t**4 - t**2 - t - 1. Let o(h) = k*v(h) + n*q(h). Factor o(p).
p*(p + 1)**2*(3*p - 1)
Let 21*v**2 + 16*v - v**3 + v**3 + 4*v**3 - 37*v**2 = 0. Calculate v.
0, 2
Let r(g) = -g**3 - 7*g**2 - 4*g + 7. Let m be r(-6). Let q = -3 - m. Determine l, given that 3*l**3 - 4*l + 0*l - q*l**3 + 3*l + 1 - l**2 = 0.
-1, 1
Let j = -3 - -6. Factor -3*i**4 + 5*i**2 + 5*i - 5*i**3 - i**4 - j*i + 2*i**2.
-i*(i - 1)*(i + 2)*(4*i + 1)
Let v(y) = -6*y + 9. Let i(p) be the second derivative of -p**4/12 + 19*p**3/6 - 13*p**2 + 4*p. Let u(g) = 3*i(g) + 8*v(g). Factor u(s).
-3*(s - 2)*(s - 1)
Factor -1/6*p**3 - 1/3 - 1/2*p**2 + 5/6*p + 1/6*p**4.
(p - 1)**3*(p + 2)/6
What is f in -17*f**3 + 13*f**4 - 1 + 8*f**2 - 7/2*f**5 + 1/2*f = 0?
-2/7, 1
Let k(o) be the third derivative of 0*o**3 + 1/24*o**4 - 1/120*o**6 + 1/420*o**7 + 0 + 0*o - 1/120*o**5 - 2*o**2. Factor k(z).
z*(z - 2)*(z - 1)*(z + 1)/2
Let o(d) be the third derivative of -d**6/40 - d**5/12 - d**4/12 + 5*d**2. Determine l so that o(l) = 0.
-1, -2/3, 0
Suppose 4*d + 32 = 4*v, 3*v = -4*d - 2 - 2. What is z in -5*z**2 + 8*z**3 + 2*z**5 - 10*z + 13*z**4 - 5*z**4 - v + z**2 = 0?
-2, -1, 1
Let l be (-18)/12*(-4)/3. Factor 2*r + 15*r**3 + 4*r - 5*r**l - 21*r**2 + 5*r**2.
3*r*(r - 1)*(5*r - 2)
Let u(j) = -j**2 - 1. Let a(f) = -2*f**2 - 3*f - 3. Let c(t) = 5*a(t) - 5*u(t). Factor c(p).
-5*(p + 1)*(p + 2)
Let r(t) = t**3 + 1. Let w(a) = 4*a**3 + 3*a + 3. Let z(u) = -10*r(u) + 2*w(u). Solve z(g) = 0.
-2, 1
Let w = -1 + 5. Let d(z) be the third derivative of 1/48*z**w + 0*z**3 - 1/120*z**5 + 0 + z**2 + 0*z. Factor d(f).
-f*(f - 1)/2
Let g = -626 - -4384/7. Find l, given that -g*l + 0 + 1/7*l**2 = 0.
