- 3. Let k(s) = -4*o(s) - 6*v(s). Solve k(q) = 0.
-1, 0
Solve 6/11*i**2 - 2/11*i**3 - 4/11*i + 0 = 0 for i.
0, 1, 2
Let f(v) be the second derivative of 1/24*v**4 - 1/4*v**2 + 0 + 1/40*v**5 + 4*v - 1/12*v**3. Factor f(z).
(z - 1)*(z + 1)**2/2
Let l(f) be the second derivative of 7*f**6/10 + 9*f**5/5 + 3*f**4/4 - f**3 - 6*f. Suppose l(i) = 0. What is i?
-1, 0, 2/7
Let c(j) = -j**3. Let f(m) = 0*m + 5*m**3 + 7*m + 8*m**2 + m. Let h(g) = -3*c(g) - f(g). Solve h(p) = 0 for p.
-2, 0
Let v = 89/76 - 8/19. What is w in 81/4 + 27/4*w**2 - v*w**3 - 81/4*w = 0?
3
Let n(j) be the first derivative of -1/12*j**4 + 1/60*j**5 + 0*j - 2*j**2 + 2 + 0*j**3. Let z(q) be the second derivative of n(q). Factor z(o).
o*(o - 2)
Suppose 8/5*q + 2*q**2 - 2/5 = 0. What is q?
-1, 1/5
Let l be 117/(-100) - 15/(-20). Let j = 2/25 - l. Let j + 0*p - 1/2*p**2 = 0. Calculate p.
-1, 1
Let x = 140 + -135. Let m(f) be the third derivative of 0 + 1/60*f**x + f**2 + 1/6*f**3 + 0*f + 1/12*f**4. Factor m(n).
(n + 1)**2
Let u(i) = -2*i**2 + 1 - i - 2*i**3 + 3*i**3 + 3*i**2. Let f(l) = -l**2 - 1. Let s = -11 + 12. Let c(r) = s*u(r) + f(r). Solve c(w) = 0.
-1, 0, 1
Let i(a) = a**3 + a**2 + a. Let d(h) = 12*h**3 + 18*h**2 + 12*h. Let y(q) = 2*d(q) - 28*i(q). Solve y(o) = 0 for o.
0, 1
Factor 1/2*a - 2*a**2 + 0 - 5/2*a**3.
-a*(a + 1)*(5*a - 1)/2
Let b(l) be the second derivative of -1/66*l**4 + 0 + 4/33*l**3 - l - 4/11*l**2. Factor b(g).
-2*(g - 2)**2/11
Suppose -2*z = 2*f + 10, -5*z = -0*z - 4*f - 20. Let x(q) be the first derivative of -1 - 1/15*q**5 - 1/6*q**4 + z*q**3 + 0*q**2 + 0*q. Factor x(r).
-r**3*(r + 2)/3
Let i(u) be the first derivative of 2*u**3/33 + 2*u**2/11 + 16. Let i(r) = 0. Calculate r.
-2, 0
Let l be 3 + 54/(-12) + 3. Factor 2 + 1/2*m**4 - 2*m - l*m**2 + m**3.
(m - 1)**2*(m + 2)**2/2
Let a = -2 - 2. Let h(o) = 7*o**4 - 3*o**2 + 4*o + 4. Let m(v) = -15*v**4 + 6*v**2 - 9*v - 9. Let r(t) = a*m(t) - 9*h(t). Factor r(k).
-3*k**2*(k - 1)*(k + 1)
Let c(h) be the third derivative of h**6/30 + 4*h**5/15 + 5*h**4/6 + 4*h**3/3 + h**2. Let c(m) = 0. What is m?
-2, -1
Suppose 2*v = n + 4*n + 4, 0 = -4*v + 2*n + 8. Factor -2/7*b + 4/7*b**3 + 2/7 + 2/7*b**4 - 2/7*b**5 - 4/7*b**v.
-2*(b - 1)**3*(b + 1)**2/7
Let y(v) be the third derivative of -v**5/15 - v**4/3 - 2*v**3/3 - 5*v**2. Determine z so that y(z) = 0.
-1
Let r(v) = v**2 + 14*v + 13. Let j be r(-1). Factor 1/2*c**4 + 0*c + 0*c**2 - 1/4*c**3 + j - 1/4*c**5.
-c**3*(c - 1)**2/4
Let c(w) = -3*w**2 - 18*w + 6. Let b(t) = 8*t**2 + 53*t - 19. Let k(z) = -6*b(z) - 17*c(z). Suppose k(u) = 0. What is u?
2
Suppose b + 5 - 2 = -3*f, 3*b = 2*f + 13. Suppose -19 = -b*r - 4. Factor -3*n**3 + r*n**3 + n**2 + n**2.
2*n**2*(n + 1)
Suppose p + 0*p = 8. Factor -56*v**2 + p - 4*v**3 + 12*v + 56*v**2.
-4*(v - 2)*(v + 1)**2
Let j(c) be the second derivative of c**7/56 + c**6/80 - 3*c**5/160 - 7*c. Factor j(x).
3*x**3*(x + 1)*(2*x - 1)/8
Let x = 15 - 12. Let m(o) be the second derivative of -1/10*o**5 + 0*o**2 + 1/5*o**6 + 4/21*o**7 + 0 + 0*o**3 + 0*o**4 + x*o. Factor m(p).
2*p**3*(p + 1)*(4*p - 1)
Let q(s) be the second derivative of s**5/44 - 7*s**4/132 + s**3/33 + 40*s. Factor q(p).
p*(p - 1)*(5*p - 2)/11
Let g be ((-1)/(-2))/((-2)/(-8)). Let o be 5 - (4 + (-12)/(-20)). Solve 6/5*y + 4/5*y**g + o = 0 for y.
-1, -1/2
Suppose 3 = 4*r - 9. Let q = -46 - -97/2. Factor 7/2*z**4 - z**2 - q*z**r + 0*z + 0.
z**2*(z - 1)*(7*z + 2)/2
Let n(z) be the first derivative of 25*z**3 + 30*z**2 + 12*z - 6. Factor n(v).
3*(5*v + 2)**2
Let t(p) be the second derivative of 9/2*p**2 + p**3 + 0 + 3*p - 1/4*p**4. Factor t(w).
-3*(w - 3)*(w + 1)
Let 2*d**2 - d**3 + 2*d**3 + 7*d**4 + 3*d**3 - 5*d**4 = 0. Calculate d.
-1, 0
Let k(d) be the third derivative of -d**5/36 + 25*d**4/72 - 28*d**2. Factor k(v).
-5*v*(v - 5)/3
Let t = -1/254 + 515/1778. Factor -2/7*s**3 + t - 2/7*s**2 + 2/7*s.
-2*(s - 1)*(s + 1)**2/7
Let t be -2 - (56/3)/(-8). Factor 0 - t*r**4 + 0*r - 2/3*r**3 - 1/3*r**2.
-r**2*(r + 1)**2/3
Let g(o) be the third derivative of 1/630*o**7 - 1/360*o**6 + 0 - 8*o**2 + 1/72*o**4 - 1/60*o**5 + 1/9*o**3 + 0*o. Let g(s) = 0. Calculate s.
-1, 1, 2
Let z = -7 + 4. Let q = 7 + z. Find g, given that 16/9*g - 2/9*g**5 - 14/9*g**3 + 8/9 + 2/9*g**2 - 10/9*g**q = 0.
-2, -1, 1
Let r(i) be the first derivative of -i**4/42 + 4*i**3/21 - 5*i**2/21 - 8. Factor r(h).
-2*h*(h - 5)*(h - 1)/21
Let z(n) be the third derivative of 0 + 1/30*n**5 + 0*n**3 - 4*n**2 + 1/24*n**4 + 1/120*n**6 + 0*n. Suppose z(f) = 0. Calculate f.
-1, 0
Let j(p) be the third derivative of 0*p**5 + p**2 + 1/1344*p**8 - 1/480*p**6 + 0*p**4 + 0 + 0*p**7 + 0*p + 0*p**3. What is u in j(u) = 0?
-1, 0, 1
Let r(f) be the first derivative of -f**6/14 + 12*f**5/35 - 3*f**4/7 - 22. Factor r(c).
-3*c**3*(c - 2)**2/7
Let j(k) = -k**3 - k**2 - k. Let z(h) = -6*h**3 - h**2 + 5*h + 8. Let t(l) = -28*j(l) + 4*z(l). Factor t(c).
4*(c + 2)**3
Let z be 18/(-56) + 184/322. Factor 1/2*q**3 + z*q**4 - 1/4*q - 1/2*q**2 + 1/4 - 1/4*q**5.
-(q - 1)**3*(q + 1)**2/4
Suppose 2*h - 3*h = -23*h. Let i(k) be the first derivative of -2/15*k**3 + 0*k + 6/25*k**5 + h*k**4 - 2/15*k**6 - 3 + 0*k**2. Find p such that i(p) = 0.
-1/2, 0, 1
Let o be (-10)/5 + ((-4)/(-3) - -1). Factor 1/3 + 0*l - o*l**2.
-(l - 1)*(l + 1)/3
Let p(l) be the third derivative of -l**6/220 - l**5/110 + l**4/22 + 25*l**2. Determine m, given that p(m) = 0.
-2, 0, 1
Let r = 4/353 + -22957/1059. Let z = r + 22. Find i, given that 2/3*i**3 - i**4 - i + 2/3*i**2 + z*i**5 + 1/3 = 0.
-1, 1
Let b(n) = 35*n**3 + 545*n**2 + 2605*n + 4395. Let v(p) = 5*p**3 + 78*p**2 + 372*p + 628. Let m(x) = 3*b(x) - 20*v(x). Factor m(i).
5*(i + 5)**3
Let s be ((-2)/25)/((-8)/80). Factor s*h - 2/5*h**2 - 2/5.
-2*(h - 1)**2/5
Suppose 5*s - 55 = -2*h - 3*h, s - 4*h - 16 = 0. Let j = -9 + s. Let -1/3*y**5 - 2*y**j + 4/3*y**4 - 1/3*y + 0 + 4/3*y**2 = 0. Calculate y.
0, 1
Let o(g) be the first derivative of g**4/4 - 2*g**3/3 + g**2 - 2*g - 5. Let l(j) = -2*j**3 + 5*j**2 - 5*j + 5. Let p(m) = 2*l(m) + 5*o(m). Factor p(w).
w**3
Factor 0 - 12/5*y + 9/5*y**3 - 3/5*y**4 + 0*y**2.
-3*y*(y - 2)**2*(y + 1)/5
Let z = 3/134 + 59/3350. Let a(c) be the second derivative of 3/50*c**5 + 0 + 1/105*c**7 + 0*c**2 - z*c**6 - 1/30*c**4 - 2*c + 0*c**3. Let a(h) = 0. What is h?
0, 1
Suppose -14*f + 42 = 14. Solve 12/11*t - 2/11*t**f - 18/11 = 0.
3
Let c(v) = 2*v**3 + v**2 - 1. Let z be c(1). Let r(x) be the first derivative of -1/3*x**3 + 2*x - 1 - 1/2*x**z. Factor r(y).
-(y - 1)*(y + 2)
Let d(r) be the second derivative of -r**7/21 + 13*r**6/45 - 11*r**5/15 + r**4 - 7*r**3/9 + r**2/3 + 3*r. Suppose d(y) = 0. What is y?
1/3, 1
Let z(v) be the second derivative of -v**5/4 + 35*v**3/6 - 15*v**2 - 32*v. What is l in z(l) = 0?
-3, 1, 2
Suppose 4*i = 4*g - 16, 4*g - i = -4*i + 2. Find l, given that -3*l**3 - 6*l**3 - l**3 - 18*l**g - 2*l**4 - 14*l - 4 = 0.
-2, -1
Let r(g) be the third derivative of -4*g**2 + 0*g - 1/48*g**4 - 1/120*g**5 + 0 + 1/240*g**6 + 1/12*g**3. Solve r(u) = 0 for u.
-1, 1
Solve 30*f - 18*f**2 + 5 - 5 - 13 + 2*f**3 - 1 = 0 for f.
1, 7
Suppose -4*r + 11 = -85. Suppose 0 = d - 2*d - 4*i + r, 4*i - 4 = 4*d. Determine o so that 3*o**2 - d*o + 4*o - 2*o**2 = 0.
0
Let a = -4542/7 - -650. Find r such that -2/7*r**3 + 0 + 8/7*r**2 - a*r = 0.
0, 2
Let 3 + 0 - 6*f**2 + 2*f - f**3 - 7 - 11*f = 0. Calculate f.
-4, -1
Let j be 4/(-14) - (-15)/28. Factor 3/2*o**3 - 13/4*o**2 - j*o**4 - 1 + 3*o.
-(o - 2)**2*(o - 1)**2/4
Let d(x) be the second derivative of 1/126*x**7 + 0*x**2 + 0*x**6 + x - 1/60*x**5 + 0*x**3 + 0*x**4 + 0. Suppose d(s) = 0. Calculate s.
-1, 0, 1
Let l(o) be the third derivative of 5*o**8/168 - 3*o**7/35 + o**6/20 + o**5/30 + o**2. Let l(p) = 0. Calculate p.
-1/5, 0, 1
Let b(h) be the third derivative of h**8/168 - 2*h**7/105 + h**5/15 - h**4/12 + 8*h**2. What is z in b(z) = 0?
-1, 0, 1
Let r(s) = 8*s**2 - 12*s - 6. Let w(i) = -i**2 + i + 1. Let a(u) = -r(u) - 6*w(u). Factor a(v).
-2*v*(v - 3)
Suppose -n**3 + 98 + 2*n**4 - 98 + 2*n - n**3 - 2*n**2 = 0. Calculate n.
-1, 0, 1
Factor 6*c + 1/2*c**2 + 18.
(c + 6)**2/2
Let g(k) = k**3 - 6*k**2 + 5. Let x be g(6). Let f be 2/6 + x/3. Factor 0*y**f + 4/9 - 2/3*y + 2/9*y**3.
2*(y - 1)**2*(y + 2)/9
Let x(j) be the third derivative of j**7/105 - j**5/30 + 5*j**2. Fact