x**3 - 2. Let j(i) be the third derivative of f(i). Determine t, given that j(t) = 0.
-1, 0, 1
Let a(v) be the second derivative of -v**2 + 1/3*v**3 + 1/6*v**4 - v - 1/10*v**5 + 0. Factor a(l).
-2*(l - 1)**2*(l + 1)
Let n = 1 + 0. Factor 3*x**2 + 0*x - x**3 - 2*x**2 + x - n.
-(x - 1)**2*(x + 1)
Let d(t) be the third derivative of t**6/660 + t**5/330 + 18*t**2. Factor d(c).
2*c**2*(c + 1)/11
Factor 0*a + 0*a**2 - 1/2*a**3 + 1/2*a**4 + 0.
a**3*(a - 1)/2
What is s in 0*s - 2/9*s**4 + 0 + 2/3*s**3 + 0*s**2 = 0?
0, 3
Let r(u) = 2*u - 14. Let a be r(10). Let l(g) = -8*g**2 - 4*g + 6. Let v(x) = 9*x**2 + 4*x - 7. Let j(o) = a*v(o) + 7*l(o). Factor j(b).
-2*b*(b + 2)
Find g, given that 1/2*g - 1/4 - 1/4*g**2 = 0.
1
Determine m so that 2/5*m**2 + 0 - 2/5*m**4 - 2/5*m**3 + 2/5*m**5 + 0*m = 0.
-1, 0, 1
Suppose -6*f = -f. Let d(o) be the second derivative of 0*o**2 + 0*o**3 + o + f*o**4 + 0 - 1/70*o**5. Let d(a) = 0. What is a?
0
Let i be (5/(-2))/(3/(-6)). Let -2*x**4 + 0 + i + 2*x**3 - 5 = 0. Calculate x.
0, 1
Let a(d) = -d**2 - 1. Let m(n) = 170*n**2 + 46*n + 90. Let i(k) = 19*k**2 + 5*k + 10. Let w(q) = 52*i(q) - 6*m(q). Let f(x) = 16*a(x) - w(x). Factor f(h).
4*(2*h + 1)**2
Let k(t) be the second derivative of -t**2 - 2/3*t**3 + 0*t**4 + 1/5*t**5 + t + 1/15*t**6 + 0. Factor k(z).
2*(z - 1)*(z + 1)**3
Let q be (4 + 1)/((-15)/(-18)). Let n = 20/3 - q. Factor 0*a + 2/3*a**4 + 0*a**2 + n*a**3 + 0.
2*a**3*(a + 1)/3
Let s be (-4)/((-8)/(-6)) - -3. Let v be 4/(-12)*(0 - (-9)/(-12)). Factor -1/4*p + s + v*p**2.
p*(p - 1)/4
Let z(d) be the third derivative of d**8/1680 + d**7/1050 - d**6/600 - d**5/300 - 6*d**2. Determine w, given that z(w) = 0.
-1, 0, 1
Let g(l) be the first derivative of l**4/22 - 4*l**3/33 + l**2/11 - 6. Suppose g(f) = 0. Calculate f.
0, 1
Let l(d) be the second derivative of d**5/10 - d**4/6 - 2*d**3/3 - 3*d. Suppose l(f) = 0. Calculate f.
-1, 0, 2
Let a(x) be the third derivative of x**8/10920 - x**6/780 - x**5/390 - 2*x**3/3 + 2*x**2. Let b(o) be the first derivative of a(o). Factor b(i).
2*i*(i - 2)*(i + 1)**2/13
Suppose 3*l - 5 = -0*l + 4*z, 3*z - 12 = -3*l. Let v(o) be the first derivative of o**2 - 8/3*o**l + 7/8*o**4 + 0*o - 1. Determine c, given that v(c) = 0.
0, 2/7, 2
Solve -2*x**2 + 20/3*x - 2 = 0.
1/3, 3
Let f(d) = -39*d**3 + 42*d**2 - 3*d - 12. Let n(j) = j**3 - j**2 - j - 1. Let l(p) = f(p) - 6*n(p). Let l(m) = 0. What is m?
-1/3, 2/5, 1
Let f(z) be the second derivative of -z**7/1260 + z**6/180 - z**5/60 - z**4/6 + 2*z. Let n(y) be the third derivative of f(y). What is s in n(s) = 0?
1
Suppose 9 = 3*g - t - t, 3*g + 2*t = 21. Let f(l) = -l**3 - 21*l**2 - 19*l + 24. Let z be f(-20). Factor -10*p**2 + 5*p - p + 2*p**z + 4*p**3 + 2*p**3 - 2*p**g.
-2*p*(p - 1)**3*(p + 2)
Let t(r) be the third derivative of -r**5/15 - 7*r**2. Factor t(m).
-4*m**2
Suppose 6*o - 79 = -4*m + o, -2*m + 20 = -4*o. Let i be (-2)/(2 + m/(-6)). Factor -4 - 28*a + i + 5 + 65*a**2 + 21*a**4 - 62*a**3.
(a - 1)**2*(3*a - 2)*(7*a - 2)
Solve 36 + 30*z + 33/4*z**2 + 3/4*z**3 = 0 for z.
-4, -3
Let c(a) be the second derivative of -a**5/30 - a**4/9 + a**3/9 + 2*a**2/3 + 4*a. What is r in c(r) = 0?
-2, -1, 1
Let u(t) be the second derivative of 0 + 2*t + 0*t**2 + 0*t**3 + 1/48*t**4. Factor u(j).
j**2/4
Let c(i) = -3*i + 3. Let t(d) = -d**2 + 4*d - 3. Let f(w) = -4*c(w) - 3*t(w). Factor f(y).
3*(y - 1)*(y + 1)
Let b(h) be the first derivative of h**4 - h**3/3 + h**2/2 - h + 2. Let a be b(1). Factor 11*s**a + 2 - 2*s**2 - 6*s - 5*s**3 + 0*s**2.
2*(s - 1)*(s + 1)*(3*s - 1)
Factor -40/7*r - 2/7*r**2 - 200/7.
-2*(r + 10)**2/7
Factor 7*i + 2*i + 2*i - 4*i + i**2 + 6.
(i + 1)*(i + 6)
Let z(o) be the third derivative of o**8/112 - 2*o**7/35 + 3*o**6/40 + o**5/5 - o**4/2 - 5*o**2 - 2*o. Solve z(c) = 0 for c.
-1, 0, 1, 2
Suppose 0 = -7*s - s + 16. Let q(y) be the third derivative of y**s + 0 - 1/60*y**5 - 1/12*y**4 + 0*y - 1/6*y**3. Let q(u) = 0. Calculate u.
-1
Factor 6*q**3 + 2*q**2 + 7*q - 20*q**4 - 13*q - 4 + 22*q**4.
2*(q - 1)*(q + 1)**2*(q + 2)
Let s(x) be the first derivative of -x**5/5 + x**4/4 - x - 8. Let c(o) = -o**4 + 4*o**3 - 2. Let n(f) = -3*c(f) + 6*s(f). Find y such that n(y) = 0.
-2, 0
Let n(u) be the first derivative of -10*u**3/27 + 4*u**2/3 - 8*u/9 + 1. Factor n(i).
-2*(i - 2)*(5*i - 2)/9
Let u(l) be the first derivative of l**7/3780 - l**6/810 + 4*l**3/3 - 3. Let b(c) be the third derivative of u(c). Factor b(n).
2*n**2*(n - 2)/9
Let b(m) be the third derivative of m**7/350 - 7*m**6/100 + 69*m**5/100 - 7*m**4/2 + 10*m**3 - 2*m**2 - 37. Suppose b(w) = 0. Calculate w.
2, 5
Suppose -11 - 4 = -5*t. Solve s**2 - t*s**2 + s**2 - 2*s - 1 = 0 for s.
-1
Suppose 2*r = 4*p + 26, 5 = -4*r - 2*p + 17. Let h(t) be the third derivative of t**2 + 1/210*t**r + 0*t - 1/84*t**4 + 0 + 0*t**3. Determine w so that h(w) = 0.
0, 1
Let u = -63 + 66. Let t = -87/52 - -51/13. Suppose 4*s**2 + t*s**4 + 0 + 21/4*s**u + s = 0. What is s?
-1, -2/3, 0
Suppose 3*v + 3*g + 8 = g, -3*v - 5*g - 20 = 0. Let u(i) be the second derivative of -1/36*i**4 + v*i**2 + 0 + 1/18*i**3 + 2*i. Let u(l) = 0. What is l?
0, 1
Factor 0*g**3 + 3*g - 9/2*g**2 + 0 + 3/2*g**4.
3*g*(g - 1)**2*(g + 2)/2
Let b(p) = -10*p**3 + 15*p**2 + 86*p + 125. Let w(u) = u**3 - u. Let q(d) = -2*b(d) - 22*w(d). Find t, given that q(t) = 0.
-5
Let b(z) = -z**3 + 4*z**2 + 2*z + 3. Let c(l) = -3*l**3 + 11*l**2 + 7*l + 9. Let o(a) = 8*b(a) - 3*c(a). Factor o(f).
(f - 3)*(f + 1)**2
Let a(g) be the first derivative of g**4/28 + 8*g**3/21 - g**2/14 - 8*g/7 + 54. Factor a(p).
(p - 1)*(p + 1)*(p + 8)/7
Let c(t) be the third derivative of -2*t**7/735 + t**6/70 - 2*t**5/105 + 50*t**2. What is a in c(a) = 0?
0, 1, 2
Let a = -8 - -6. Let r be 0*(a + 1)/2. Factor -2*l**5 + r*l**3 - l**3 + 3*l**5.
l**3*(l - 1)*(l + 1)
Let c(r) = r**3 + 2*r**2 - 2*r - 2. Let q(p) = 3*p**3 + 5*p**2 - 5*p - 5. Let l(x) = -5*c(x) + 2*q(x). Let l(a) = 0. Calculate a.
0
Let t(m) = -6*m - 8. Let o(x) = -5*x - 7. Let j(r) = -7*o(r) + 6*t(r). Let a be j(-2). Determine f so that -f**3 - 3*f**a + 3*f**3 + 4*f**2 - 4*f = 0.
0, 2
Solve 0*s + 0 - 2/3*s**2 + 2/9*s**3 = 0.
0, 3
Suppose 5*k + 1 = 2*k - m, 0 = -5*m - 5. Let f(b) be the first derivative of 1/2*b**4 + 1/5*b**5 + k*b**3 + 2 - b - b**2. Suppose f(g) = 0. Calculate g.
-1, 1
Let n(q) be the first derivative of q**4/24 - q**3/12 - q**2/2 + q - 1. Let k(c) be the first derivative of n(c). Suppose k(s) = 0. What is s?
-1, 2
Let t be (6/(-12))/(1 + 33/(-30)). Let w(q) be the first derivative of -1/3*q**2 + 1/3*q**3 + 1 - 1/6*q**4 + 1/6*q + 1/30*q**t. Determine z so that w(z) = 0.
1
Let v = 4 - 0. Let q be v/6 - (-2)/(-3). Factor -2*k**3 + k**2 + 3*k**2 - 2*k**4 - 2*k**2 + 2*k + q*k.
-2*k*(k - 1)*(k + 1)**2
Factor 1/6*h**3 + 1/3*h**4 + 0 + 0*h + 1/6*h**5 + 0*h**2.
h**3*(h + 1)**2/6
Let p = 56 - 24. Factor 4*x + 0 + 43*x**2 + 4 + 14*x**2 - p*x - 36*x**3.
-(3*x - 2)**2*(4*x - 1)
Let u = -50 - -90. Let s be (-64)/u - -2*1. Factor 2/5*k + 0 + 0*k**4 - 4/5*k**3 + 0*k**2 + s*k**5.
2*k*(k - 1)**2*(k + 1)**2/5
Let d(t) = -t**2 + 8*t + 11. Let r be d(9). Determine a, given that r + 2*a**2 + a - 2 + a = 0.
-1, 0
Let h(l) = 6*l**4 - 16*l**3 + 24*l**2 + 8*l - 8. Let o(y) = 4*y**4 - 11*y**3 + 16*y**2 + 5*y - 5. Let k(z) = 5*h(z) - 8*o(z). Factor k(g).
-2*g**2*(g - 2)**2
Find j such that 12*j + 0*j**3 + j**3 - 8 - 23*j**2 + 17*j**2 = 0.
2
Let v(j) be the first derivative of 1/5*j**3 - 3 - 1/10*j**2 + 0*j. Factor v(a).
a*(3*a - 1)/5
Suppose 5*p - 4 = 6. Suppose 2 = -4*t + 5*t. What is d in 12*d**t - 3*d**3 - 2*d**p - 12*d + 2*d**2 = 0?
0, 2
Let g(t) be the third derivative of 5*t**8/336 - 2*t**7/21 + 4*t**5/3 - 10*t**4/3 + 12*t**2. Find u, given that g(u) = 0.
-2, 0, 2
Suppose 0 = -x - 4*n - 3, 5*x - 6*n + 3*n = 31. Suppose 3*y - 3*r - 29 = -x, -r - 14 = -3*y. Determine q, given that 2*q**4 - 2*q**3 + 4*q**y + q**3 - q**3 = 0.
-1, 0
Suppose 0*f = 3*l - 2*f - 22, -5*f - 9 = 4*l. Let 418/5*n**3 + 16/5 + 24*n + 48*n**l + 332/5*n**2 + 10*n**5 = 0. What is n?
-2, -1, -2/5
Let q(g) be the third derivative of -g**6/240 + g**4/16 + g**3/6 + 9*g**2. Suppose q(o) = 0. What is o?
-1, 2
Factor 2/13*q**4 + 6/13*q**3 + 0 + 2/13*q + 6/13*q**2.
2*q*(q + 1)**3/13
Let f(d) be the third derivative of d**5/40 - 19*d**2. Let f(w) = 0. Calculate w.
