nd derivative of -y**4/60 + y**3/3 - 5*y**2/2 - 10*y. Solve x(u) = 0.
5
Let x(b) = 11*b**3 - 17*b**2 - 7*b + 13. Let r(g) = 5*g**3 - 8*g**2 - 3*g + 6. Let h(y) = -13*r(y) + 6*x(y). Find o such that h(o) = 0.
-3, 0, 1
Suppose 5*p + j = 6*j - 10, -10 = -p - 5*j. Let a(y) be the third derivative of 1/12*y**4 + p - 1/3*y**3 - 1/60*y**6 + 1/30*y**5 - 2*y**2 + 0*y. Factor a(b).
-2*(b - 1)**2*(b + 1)
Factor 8/19*n**2 + 0*n - 2/19*n**4 + 0 + 0*n**3.
-2*n**2*(n - 2)*(n + 2)/19
Let c(q) = -3*q**2 - 16*q - 16. Let o(y) = 6*y**2 + 33*y + 33. Let l(z) = 9*c(z) + 4*o(z). Factor l(k).
-3*(k + 2)**2
Let m = 16 - 13. Solve -4/9 + 2*j + 10/9*j**m - 8/3*j**2 = 0 for j.
2/5, 1
Let f(z) = -z**4 - 5*z**3 + 5*z. Let j(q) = -q**4 - 6*q**3 + 6*q. Let c(b) = -6*f(b) + 5*j(b). Suppose c(m) = 0. Calculate m.
0
Let z(l) be the third derivative of -l**7/210 - l**6/60 + l**5/60 + l**4/12 + 19*l**2. Let z(y) = 0. What is y?
-2, -1, 0, 1
Suppose -17 + 8 = -5*d - 4*b, -3*d = -2*b - 23. Factor -2*h**4 + d*h**3 + h**2 - 4*h**3 + h**4 - h.
-h*(h - 1)**2*(h + 1)
Let z(o) be the second derivative of o**7/189 + o**6/135 - o**5/45 - o**4/27 + o**3/27 + o**2/9 - 10*o. Factor z(g).
2*(g - 1)**2*(g + 1)**3/9
Let w(q) be the second derivative of -1/9*q**3 + 0*q**2 + 0 + 2*q - 1/36*q**4. Determine k so that w(k) = 0.
-2, 0
Let d(t) be the second derivative of -3/40*t**5 - 3/2*t**2 - 7*t + 0 + 1/4*t**4 + 1/4*t**3. Factor d(l).
-3*(l - 2)*(l - 1)*(l + 1)/2
Let i = -6 - -3. Let s be (-4)/(-3) + (-2)/i. Factor o**2 + 2*o**2 - 2*o - 5*o**s.
-2*o*(o + 1)
Factor 2*p**3 + 5*p + 30*p**5 - 12*p**3 - 25*p**5.
5*p*(p - 1)**2*(p + 1)**2
Let t = 0 + 7. Suppose -3*l + 10 = q, 2*q + t = -2*l + 19. Suppose -1/3*u + 1/3*u**3 - 1/3*u**q + 1/3*u**2 + 0 = 0. Calculate u.
-1, 0, 1
Let p(g) = -11*g**2 - 23*g - 16. Let u(v) = 6*v**2 + 12*v + 8. Let c(d) = -4*p(d) - 7*u(d). Factor c(q).
2*(q + 2)**2
Suppose 8*r + 2 = 3*r - d, 6 = -3*r - 3*d. Let f(i) be the first derivative of 0*i**3 + 21/5*i**5 + 3/2*i**4 + 4 + 0*i + r*i**2. Solve f(m) = 0 for m.
-2/7, 0
Solve 4*a**3 + 0*a**3 - 6*a**3 + a + 0*a + a**5 = 0 for a.
-1, 0, 1
Factor 6*i**2 - 2/3*i**3 - 16*i + 32/3.
-2*(i - 4)**2*(i - 1)/3
Let h be 6/(-21) + 60/14. Factor 1 + 2*y**2 - 1 + h*y.
2*y*(y + 2)
Find b such that 3*b**3 - 3*b**3 - 8*b**3 + 8*b + 20*b**2 - 20*b**4 = 0.
-1, -2/5, 0, 1
Let m be ((-36)/(-30))/(-2)*2/(-3). Factor 6/5*r + 4/5 + m*r**2.
2*(r + 1)*(r + 2)/5
Let g(f) be the second derivative of -f**8/3360 + f**7/560 - f**6/240 + f**5/240 - 2*f**3/3 + f. Let n(x) be the second derivative of g(x). Factor n(y).
-y*(y - 1)**3/2
Let k(i) be the first derivative of -21*i**5/40 - 5*i**4/8 + i**3/2 + i + 2. Let w(t) be the first derivative of k(t). Factor w(g).
-3*g*(g + 1)*(7*g - 2)/2
Suppose -2*h = -11 + 9. Factor 4*y + h + 5/4*y**2 - 25/4*y**3.
-(y - 1)*(5*y + 2)**2/4
Let n be (-56)/(-7) - (0 - -5). What is d in 4/7*d**n - 2/7*d**4 + 0 + 2/7*d**2 - 4/7*d = 0?
-1, 0, 1, 2
Suppose 0 - 8/15*g + 2/15*g**3 - 2/5*g**2 = 0. What is g?
-1, 0, 4
Let g(r) be the third derivative of 0 - 1/105*r**5 + 0*r**4 + 0*r + 1/60*r**6 - 2*r**2 + 0*r**3 - 3/392*r**8 + 0*r**7. Determine i so that g(i) = 0.
-1, 0, 1/3, 2/3
Let b(q) = -q + 3. Let o be b(-9). Let w be (-4)/o*(-3)/2. Let -1/2*j**4 + 1/2*j**3 - w*j + 0 + 1/2*j**2 = 0. Calculate j.
-1, 0, 1
Let m(o) be the third derivative of 0 + 1/504*o**8 + 1/30*o**6 - 2/45*o**5 + 0*o + 1/36*o**4 + 5*o**2 + 0*o**3 - 4/315*o**7. Let m(k) = 0. What is k?
0, 1
Let s(y) = -3*y - 18. Let x be s(-6). Let z be (3 - 1) + 18/(-10). Factor x - 1/5*g + z*g**2.
g*(g - 1)/5
Suppose -j - x + 5 = -0*j, 5*x = -2*j + 19. Find q such that -j*q + 2*q + 0*q - 1 + q**2 = 0.
-1, 1
Let r(o) be the first derivative of o**4/16 - o**3/3 - 16. Factor r(s).
s**2*(s - 4)/4
Solve -4/3*c + 4/3*c**3 - 2/3*c**2 - 1/3 + c**4 = 0 for c.
-1, -1/3, 1
Let c(n) be the first derivative of 2*n**7/175 - n**6/30 + n**5/75 + n**4/30 - 2*n**2 + 5. Let q(u) be the second derivative of c(u). Factor q(w).
4*w*(w - 1)**2*(3*w + 1)/5
Determine y so that 147*y**4 - 108 + 1311*y**2 - 371*y**3 + 72*y - 853*y**3 + 342*y**3 = 0.
-2/7, 2/7, 3
Let i be 4 + (-1 - -3 - 4). What is l in 4 + 5*l**5 - 18*l - 48*l**4 - 14*l**3 - 2 + 46*l**i + 27*l**5 = 0?
-1, 1/4, 1
Let b(v) be the first derivative of -2*v - 3*v**2 - 2*v**3 - 1/2*v**4 + 2. Factor b(c).
-2*(c + 1)**3
Let q(d) = -d**2 - 3*d - 5. Let t be q(-2). Let w be (t + 3 - 3) + 3. Find b, given that 0 + 0*b - 1/5*b**2 + 1/5*b**4 + w*b**3 = 0.
-1, 0, 1
Factor -36*i - 75/4*i**4 - 27/4 - 60*i**3 - 141/2*i**2.
-3*(i + 1)**2*(5*i + 3)**2/4
Let f(q) be the second derivative of q**4 - q**3/2 + 20*q. Factor f(h).
3*h*(4*h - 1)
Let x be (-2)/4*228*1. Let v = x - -572/5. Determine z, given that 0 + 4/5*z - v*z**2 = 0.
0, 2
Let a(h) be the first derivative of 1/3*h**6 - 2 + 4/3*h**3 - 4/5*h**5 + 0*h - h**2 + 0*h**4. Solve a(i) = 0.
-1, 0, 1
Let g(l) be the first derivative of 521284*l**5/5 + 54872*l**4 + 11552*l**3 + 1216*l**2 + 64*l - 2. Find q such that g(q) = 0.
-2/19
Let g(c) be the third derivative of 0 + 1/504*c**8 - 1/630*c**7 - 1/18*c**3 + 1/90*c**5 - 1/90*c**6 + 1/36*c**4 + 0*c - 3*c**2. Let g(t) = 0. What is t?
-1, 1/2, 1
Let w(i) = i**2 - i. Let v(b) = -4*b**2 + 2*b + 2. Suppose -5*m + 2*o - 5*o = -2, 2*o = -2. Let x(t) = m*v(t) + 3*w(t). Factor x(k).
-(k - 1)*(k + 2)
Let j = -43 + 45. Suppose 4/3 + 0*d**2 + 2/3*d**3 - j*d = 0. What is d?
-2, 1
Suppose 9*d - 5 = 8*d. Determine z so that d*z - 5*z + z**2 = 0.
0
Let r = 114/7 + -16. Factor r*o**3 - 2/7*o**2 + 0*o + 0.
2*o**2*(o - 1)/7
Let i be 3/((-92)/(-8) - 4). Let u = 2/283 - -556/1415. Find x, given that 4/5*x**3 - i*x**2 + u - 4/5*x = 0.
-1, 1/2, 1
Let q = 20 - 0. Let b = -12 - -22. Determine c, given that b*c + 3*c**5 - 10*c**4 - 20*c**2 + 3*c**5 - 2 - 4*c**5 + q*c**3 = 0.
1
Factor -1/5*b + 2/5*b**2 - 1/5*b**3 + 0.
-b*(b - 1)**2/5
Let d(l) be the second derivative of -l**6/60 - l**5/40 + l**4/24 + l**3/12 + 5*l. Factor d(u).
-u*(u - 1)*(u + 1)**2/2
Suppose 0 = 5*u - 4*p - 7, -1 = u - 3*p + 2. What is a in -a**4 - a**5 + a**2 + 0*a**3 - a**3 - 4*a**3 + 6*a**u = 0?
-1, 0, 1
Suppose 10*w - 16 = 6*w. What is j in 2*j**2 + 4*j - w*j**2 - 2*j**2 - 12*j - 4 = 0?
-1
Suppose -16 = -82*u + 78*u. Let d(l) be the first derivative of -u - 1/5*l**3 - 3/5*l + 3/5*l**2. Factor d(j).
-3*(j - 1)**2/5
Let c(p) be the second derivative of 0 - 1/3*p**4 + 2*p**3 - 2/15*p**6 - 3/5*p**5 + 4*p**2 + 5*p. Let c(k) = 0. Calculate k.
-2, -1, 1
Let v be (-43)/(-40) - 13/(-104). Factor 2/5*y**2 + 4/5 + v*y.
2*(y + 1)*(y + 2)/5
Let n(w) be the second derivative of -w**6/15 - w**5/5 - w**4/6 + 3*w. Factor n(g).
-2*g**2*(g + 1)**2
Let s(i) be the second derivative of i**7/105 + 2*i**6/75 - 3*i**5/50 - 2*i**4/15 + 4*i**3/15 - 15*i. Factor s(m).
2*m*(m - 1)**2*(m + 2)**2/5
Let x be ((-11)/55)/(2/(-20)). Suppose 1/4*q**x + 1/4 - 1/2*q = 0. What is q?
1
Determine t, given that 0 + 0*t**2 - 3*t**4 - 3/2*t**3 + 0*t = 0.
-1/2, 0
Let i(m) be the first derivative of 4*m**5/5 - 3*m**4/4 - m**3/3 + 25. Factor i(y).
y**2*(y - 1)*(4*y + 1)
Let l(v) be the first derivative of 4*v**4 - 68*v**3/3 + 40*v**2 - 16*v - 19. Let l(u) = 0. What is u?
1/4, 2
Let s(o) = o**2. Suppose 3*z = 4*z - 4*n - 9, -2*z + 2*n = -6. Let k(a) = 4*a**2 - 12*a - 18. Let m(t) = z*k(t) - 6*s(t). Find d, given that m(d) = 0.
-3
Let p be 0 + 3 - (-2 + (-347)/(-70)). Let h(o) be the second derivative of -o + 0*o**2 + 0 + 0*o**3 + 1/21*o**4 + 1/105*o**6 + p*o**5. Factor h(y).
2*y**2*(y + 1)*(y + 2)/7
Let z(w) be the second derivative of 5*w**4/4 + 65*w**3/6 - 25*w**2 + 15*w. Factor z(m).
5*(m + 5)*(3*m - 2)
Solve -4/3*q**3 - 8/3*q + 0 + 4*q**2 = 0 for q.
0, 1, 2
Let s be 17 + -13 - (-10)/(-3). Find z such that -7/3*z**2 + s + 5/3*z**4 + z**3 - z = 0.
-1, 2/5, 1
Let v be (4 + 2 + -3)/(-1). Let o be (-2 - v)*(-5)/(-10). Find b, given that 7/4*b + 0*b**2 + o - 9/4*b**3 = 0.
-2/3, -1/3, 1
Factor 9*b**3 + b**5 - 3*b**4 + 15*b**2 + 0*b**3 - 4*b**5 + 0*b**5 + 6*b.
-3*b*(b - 2)*(b + 1)**3
Determine k so that -3/5*k**3 + 6/5*k + 0 - 3/5*k**2 = 0.
-2, 0, 1
Let f be (-1)/(0 - (-3 - (-20)/6)). Factor 3*w + 9/2*w**2 + f*w**3 + 3/4 + 3/4*w**4.
3*(w + 1)**4/4
Let b(s) = s**5 + s**2 + s - 1. Let t(g) = 9*g**5 - 4*g**3 + 5*g**2 + 5*g - 5. Let f(q) = 5*b(q) - t(q). Find a such t