t derivative of 0*o - o**4 - 8 - 8/3*o**3 - 2*o**2. Let i(p) = 0. Calculate p.
-1, 0
Let p(m) = m**3 + 9*m**2 - 6*m + 12. Let o be p(-9). Let t = 200/3 - o. Suppose 0 + t*q + 2/3*q**2 = 0. Calculate q.
-1, 0
Let a(p) be the second derivative of p**4/3 + 2*p**3/3 - 4*p**2 - 4*p. Factor a(w).
4*(w - 1)*(w + 2)
Let s = 2 + 5. Suppose -s = -5*k + 2*u + 21, -4*k + 3*u + 28 = 0. Factor 1/2*w**k - 2*w**3 + 1/2 + 3*w**2 - 2*w.
(w - 1)**4/2
Let s be ((-4)/2)/(7/(-28)). Suppose h = -0*q + 3*q - 12, h + s = 2*q. Solve -4/3*t + 4/3*t**3 - 2/3*t**4 + h*t**2 + 2/3 = 0.
-1, 1
Let v be (-2)/(20/(-18)) + (-2)/(-10). Let d(z) be the second derivative of -v*z + 0 - 9/2*z**2 + z**3 - 1/12*z**4. Factor d(o).
-(o - 3)**2
Let y(z) be the second derivative of 3*z**5/40 - z**4/8 - z**3 + 3*z**2 - 35*z - 2. Determine a so that y(a) = 0.
-2, 1, 2
Let d(x) = 13*x**3 + 20*x**2 + 14*x - 2. Let g(r) = r**3 - r**2 - r + 1. Let p be 1/3 - (-2)/3. Let b(f) = p*d(f) - 6*g(f). Factor b(n).
(n + 2)**2*(7*n - 2)
Let s = -10 - -24. Let v be 20/70 - 4/s. Let -3/2*t + v - 3*t**2 - 3/2*t**3 = 0. What is t?
-1, 0
Let t(a) be the first derivative of 2*a**5/35 + a**4/7 - 2*a**2/7 - 2*a/7 - 9. Factor t(d).
2*(d - 1)*(d + 1)**3/7
Let q = -3 - -3. Suppose 0*x + 8*x**2 - 6*x**2 + q*x = 0. What is x?
0
Factor 6/11*b**4 + 0 - 6/11*b**3 + 0*b + 2/11*b**2 - 2/11*b**5.
-2*b**2*(b - 1)**3/11
Let w(i) be the third derivative of 0*i - 1/12*i**4 - 1/105*i**7 + 0*i**3 + 1/60*i**6 + 1/30*i**5 - 4*i**2 + 0. Factor w(m).
-2*m*(m - 1)**2*(m + 1)
Suppose -b = -5*b + 16. Solve -2 - x**2 - 10*x**3 - 3*x**2 - 2*x**2 + 14*x - 4*x + 8*x**b = 0 for x.
-1, 1/4, 1
Determine d so that 0*d + 1/5*d**2 - 1/5 = 0.
-1, 1
Let s(q) be the second derivative of -1/21*q**3 + 0*q**2 + 1/42*q**4 + 0 - 2*q. Factor s(c).
2*c*(c - 1)/7
Let k(o) = o**4 - 39*o**3 - 29*o**2 + 11*o + 11. Let s(v) = v**4 - 19*v**3 - 14*v**2 + 6*v + 6. Let b(g) = -6*k(g) + 11*s(g). Suppose b(p) = 0. Calculate p.
-4, -1, 0
Let x(j) be the first derivative of -4*j**5/5 - 2*j**4 + 4*j**2 + 4*j + 2. Find l such that x(l) = 0.
-1, 1
Let f = 3 + 8. Let s = f - 8. Suppose 1/3*m**2 + 1/3*m**s - 1/3*m - 1/3 = 0. What is m?
-1, 1
Suppose 0 = -3*r + 1 + 14. Let 2*v**3 + v**3 + 3*v**4 - r*v**3 - v**4 = 0. What is v?
0, 1
Factor -4*u + 36 - 17*u - 3*u + 8*u**2 - 4*u**2.
4*(u - 3)**2
Let l = 66 + -263/4. Let z = 59/2 + -29. What is w in 3/4*w**2 - l*w**3 - 1/4 + 1/4*w - z*w**4 = 0?
-1, 1/2, 1
Let q(u) = 5*u**4 + 24*u**3 - 43*u**2 + 48*u - 25. Let c(k) = -k**4 - 6*k**3 + 11*k**2 - 12*k + 6. Let w(a) = -9*c(a) - 2*q(a). Factor w(x).
-(x - 2)**2*(x - 1)**2
Factor 16/5*z - 16/5 - 4/5*z**2.
-4*(z - 2)**2/5
Let u(m) be the third derivative of -m**7/1155 - m**6/660 + m**5/165 - 10*m**2. Find k, given that u(k) = 0.
-2, 0, 1
Let g be 4/(-22) - (-200)/495. Let -4/9*m + 2/9 + 0*m**2 + 4/9*m**3 - g*m**4 = 0. Calculate m.
-1, 1
Let h(v) be the first derivative of v**3/3 - v**2 - 3*v - 12. Factor h(u).
(u - 3)*(u + 1)
Factor 11/2*s**3 - 18*s + 6*s**2 + 0 - s**4 - 1/2*s**5.
-s*(s - 2)**2*(s + 3)**2/2
Let c be (0 - 1/8)/(-1). Let o(f) be the first derivative of 0*f**2 + 0*f + 2 - c*f**4 - 1/12*f**3 - 1/20*f**5. Factor o(s).
-s**2*(s + 1)**2/4
Let y = -13 - -15. Determine x so that -2*x**y - x + 5*x**2 + 3*x**4 - 2*x**4 - 3*x**3 = 0.
0, 1
Let l(o) = o**2 + 7*o - 5. Let y(r) be the third derivative of -r**5/60 - r**4/4 + 2*r**3/3 + r**2. Let t(q) = 4*l(q) + 5*y(q). Factor t(w).
-w*(w + 2)
Suppose -2*j + 9*k - 6 = 6*k, -2*k = -5*j - 4. Factor -2/3*q**3 + 5/6*q**2 + j + 1/6*q**4 - 1/3*q.
q*(q - 2)*(q - 1)**2/6
Let n(u) be the first derivative of -u**7/14 - 7*u**6/30 - u**5/4 - u**4/12 - u - 3. Let j(c) be the first derivative of n(c). Find f such that j(f) = 0.
-1, -1/3, 0
Find x such that 3/5*x**2 + 21/5 - 24/5*x = 0.
1, 7
Let z(o) be the first derivative of o**3/15 + o**2/5 + o/5 + 10. Let z(b) = 0. What is b?
-1
Let n = -1277/18 - -71. Let m(d) be the third derivative of n*d**4 + 1/90*d**5 - 3*d**2 + 1/9*d**3 + 0 + 0*d. Factor m(k).
2*(k + 1)**2/3
Let j(i) be the third derivative of -i**5/150 - i**4/30 - i**3/15 - 8*i**2. Let j(h) = 0. What is h?
-1
Let n = 39/10 - 419/110. Let b = n + 31/22. Let 0 + b*y**2 + 15/4*y**5 + 0*y - 6*y**4 + 3/4*y**3 = 0. What is y?
-2/5, 0, 1
Let m(f) be the second derivative of 1/24*f**4 + 1/120*f**5 - 2*f**2 + 1/12*f**3 + 2*f + 0. Let c(h) be the first derivative of m(h). Factor c(z).
(z + 1)**2/2
Let v(y) be the third derivative of 0 + 0*y**4 + y**2 + 0*y + 0*y**3 - 1/660*y**6 + 1/330*y**5. Let v(f) = 0. Calculate f.
0, 1
Suppose 2*y - 11 = -4*v + 19, 0 = -2*v + 5*y + 9. Find x, given that v*x + 16 + 2 + 5*x + x**2 + x**2 = 0.
-3
Suppose -l + 10 = -5*z - 0*z, 8 = 3*l - 4*z. Let 3*c**3 + l + 3/2*c + 3/4*c**4 + 15/4*c**2 = 0. What is c?
-2, -1, 0
Let x(j) be the first derivative of -j**7/945 + j**6/270 - j**5/270 - 3*j**2/2 + 5. Let d(l) be the second derivative of x(l). Let d(i) = 0. What is i?
0, 1
Suppose 5*z + 4*u = -20, -9*z - 20 = -8*z + 4*u. Factor 0*j + 1/3*j**5 + 2/3*j**2 + 5/3*j**3 + 4/3*j**4 + z.
j**2*(j + 1)**2*(j + 2)/3
Find a, given that 2*a + 1 - 8*a + a**2 + 8*a = 0.
-1
Let p(k) be the first derivative of -1/15*k**3 + 1/25*k**5 - 1/20*k**4 + 1/30*k**6 + 0*k + 0*k**2 - 3. Factor p(g).
g**2*(g - 1)*(g + 1)**2/5
Let k(c) = -36*c**3 - 8*c**2 + 22*c. Let y(l) = -4*l**3 - l**2 - l**3 + l + 2*l. Let o(p) = 6*k(p) - 44*y(p). Solve o(n) = 0.
0, 1
Let f(c) be the first derivative of -c**4/32 - c**3/2 - 3*c**2 - 8*c + 12. Determine l, given that f(l) = 0.
-4
Let s(o) = 13*o**2 - 5*o + 7. Let q(u) = 38*u**2 - 16*u + 20. Let d(k) = 5*q(k) - 14*s(k). Factor d(x).
2*(x - 1)*(4*x - 1)
Suppose 6*y - y - 35 = -3*o, 0 = -4*y - 2*o + 30. Let u be 6/(-5)*(-25)/y. What is h in -3*h**3 + 5*h**u + 2*h + 4*h**2 + 0*h**3 = 0?
-1, 0
Suppose 2*b - 10 = -2. Suppose -3*q = b*j - 7 + 1, j + 5*q - 10 = 0. Let -4*h**2 - 2 + 4*h**3 - 6*h**5 + 2*h + j*h**3 - 10*h**4 + 16*h**2 = 0. What is h?
-1, 1/3, 1
Suppose 3*x + 14 = x - 4*o, 10 = -2*o. Suppose -n + 10 = n, 0 = 3*s - 4*n + 8. Factor 0*c**2 - x*c**3 + c**2 - c**5 - 7*c**s + 10*c**4.
-c**2*(c - 1)**3
Let x(y) be the third derivative of y**6/1020 + y**5/170 - 3*y**4/68 + 5*y**3/51 - 24*y**2. Factor x(w).
2*(w - 1)**2*(w + 5)/17
Let c be (1/(-2))/(8/(-16)). Let u(p) = -p**2 - 4*p - 2. Let o be u(-3). What is s in -2*s + 2*s**2 - c + o = 0?
0, 1
Let c = 230 + -459/2. Factor c + 1/2*q**2 - q.
(q - 1)**2/2
Let l be (-4 - 0) + 600/132. Suppose 2/11*f**5 + l*f**3 + 0 + 0*f - 2/11*f**2 - 6/11*f**4 = 0. What is f?
0, 1
Suppose -3*o + 0*o = 0. Let v = 0 - o. Solve f**4 + f**2 - f**3 - f**3 + v*f**3 = 0.
0, 1
Suppose -4*k + 0*k = -8. Suppose -74*b**k - 6 - 31*b**2 - 24*b**4 + 38*b**3 + 68*b**3 + 45*b - 16*b**3 = 0. What is b?
1/4, 1/2, 1, 2
Let f(a) be the first derivative of -10*a**4/11 + 26*a**3/33 - 2*a**2/11 + 5. Suppose f(i) = 0. Calculate i.
0, 1/4, 2/5
Suppose n = 5*n. Suppose n = -u - 2*u + 9. Factor -3*a**u + 8*a**3 + 3*a**3 + 14*a**2 + 1 + 7*a.
(a + 1)*(2*a + 1)*(4*a + 1)
Let j(h) be the second derivative of h**5/40 - 4*h. Factor j(c).
c**3/2
Let j(a) = -a**2 + 1. Let l(y) = -6*y**2 - 6*y + 3. Let q(w) = -3*j(w) + l(w). Suppose q(m) = 0. What is m?
-2, 0
Let i = -13 - -5. Let k = i - -13. Let 0 + 2/5*l + 0*l**4 - 4/5*l**3 + 0*l**2 + 2/5*l**k = 0. Calculate l.
-1, 0, 1
Let g(j) be the second derivative of -1/18*j**6 + 1/30*j**5 + 1/42*j**7 - j + 0*j**3 + 0*j**4 + 0 + 0*j**2. Factor g(l).
l**3*(l - 1)*(3*l - 2)/3
Let g(m) be the first derivative of -1/5*m**2 + 4/15*m**3 - 5 + 0*m - 1/10*m**4. Factor g(b).
-2*b*(b - 1)**2/5
Let q = -19 + 45/2. Let -9/2*h**2 - q*h + 1 = 0. Calculate h.
-1, 2/9
Suppose 0*p - 4*x - 35 = -5*p, -3*p = -4*x - 29. Let u be 1 + (-1)/p - 0. Find i such that 2/3 - 4/3*i + u*i**2 = 0.
1
Let w(t) be the second derivative of 3*t**5/20 - 2*t**3 - 6*t. Determine o, given that w(o) = 0.
-2, 0, 2
Let m(x) be the second derivative of 3*x**5/140 - 3*x**4/28 + x**3/7 - 6*x. Suppose m(y) = 0. Calculate y.
0, 1, 2
Let x be 2 + (1 - (0 - 0)). Let s(m) = m**5 - m**3 - 1. Let h = -1 - 0. Let i(g) = 2*g**5 - g**3 - g - 3. Let k(p) = h*i(p) + x*s(p). Factor k(u).
u*(u - 1)**2*(u + 1)**2
Let u(c) be the second derivative of c**6/195 - c**5/65 + c**4/78 - 13*c. Let u(n) = 0. Calculate n.
0, 1
Factor 7*q**3 + 6*q 