+ 1)**2/10
Suppose 4*a - h + 1 = 2*h, -2*h - 10 = 0. Let r be -3 - (a + 3)*5. Factor f + 0 + 0*f**r - 1/4*f**4 - 3/4*f**3.
-f*(f - 1)*(f + 2)**2/4
Let i be (-24)/84 - (-2)/7. Let a(p) be the first derivative of 0*p**5 - 2 + 1/6*p**6 + i*p + 1/2*p**2 - 1/2*p**4 + 0*p**3. Factor a(c).
c*(c - 1)**2*(c + 1)**2
Let u(b) = -b**3 - 9*b**2 - 10*b - 11. Let s be u(-8). Factor 4*l**2 - 5*l + 2*l + 3*l - 2*l**s - 4*l**4 + 2*l.
-2*l*(l - 1)*(l + 1)**3
Let k be 7/28 - (-1)/(-4). Let k + i**3 - 5/3*i**2 + 2/3*i = 0. What is i?
0, 2/3, 1
Let b(t) be the first derivative of -t**5/3 + 11*t**4/6 - 11*t**3/3 + 10*t**2/3 - 4*t/3 - 10. What is f in b(f) = 0?
2/5, 1, 2
Let c(a) = 15*a**2 - 21*a - 3. Let y(x) = 8*x**2 - 11*x - 2. Let n = -8 - -9. Let i = 8 + n. Let u(d) = i*y(d) - 5*c(d). Let u(r) = 0. Calculate r.
1
Let q(n) be the second derivative of -n**7/2520 + n**4/6 - n. Let o(s) be the third derivative of q(s). Solve o(g) = 0.
0
Let w be ((-2)/6)/(-7 + 5). Let j(y) be the first derivative of 2/3*y**3 - 2 + w*y**4 + y**2 + 2/3*y. Solve j(c) = 0 for c.
-1
Let v(i) be the second derivative of 1/6*i**3 + 0 + 3*i + 1/12*i**4 + 0*i**2. Factor v(c).
c*(c + 1)
Let l(u) = u**4 + u**3 - u**2 + 1. Let f(x) = 4*x**4 + 6*x**3 - 8*x**2 + 8. Let r = -15 - -16. Let b(y) = r*f(y) - 8*l(y). Solve b(i) = 0 for i.
-1/2, 0
Let g = 1177 + -2353/2. Determine v, given that g - 3/4*v + 1/4*v**2 = 0.
1, 2
Let 1/7*x**2 + 1/7*x**4 + 3/7*x**3 - 3/7*x - 2/7 = 0. Calculate x.
-2, -1, 1
Let q = 7 + -10. Let o be 5/30 + q/(-6). Solve -2/3*a**3 + 4/3*a + 0 - o*a**2 = 0.
-2, 0, 1
Determine b so that -16/3*b**2 + 0 + 4*b**3 + 1/6*b**5 + 8/3*b - 4/3*b**4 = 0.
0, 2
Let j = -24/19 + 115/76. Factor -j*q**2 - 3/2*q - 9/4.
-(q + 3)**2/4
Let s be ((-3)/(-6) - 1)*6. Let q be ((-12)/27)/(2/s). Factor 0 - 2/3*c**4 - 2/3*c**3 + 0*c + 2/3*c**2 + q*c**5.
2*c**2*(c - 1)**2*(c + 1)/3
Let x(a) = -a**3 + 10*a**2 - a + 10. Let u be x(10). Suppose 5*g - g = u. Factor -4/7*o**2 - 6/7*o**3 - 2/7*o**4 + g*o + 0.
-2*o**2*(o + 1)*(o + 2)/7
Let s(b) be the first derivative of 4/3*b + 2 - 2/3*b**3 + 5/3*b**2. Let s(r) = 0. What is r?
-1/3, 2
Let n(t) be the third derivative of -t**6/120 + 7*t**5/60 - 5*t**4/8 + 3*t**3/2 - 7*t**2. Determine k so that n(k) = 0.
1, 3
Let v(q) be the first derivative of -3*q**5/5 + q**4/2 + 4*q**3/3 - q**2 - q + 15. Factor v(s).
-(s - 1)**2*(s + 1)*(3*s + 1)
Let j be (4/3)/(8/24). Let x = 35 + -35. Factor -3/4*c**j - 1/4*c**5 + x + 0*c - 1/4*c**2 - 3/4*c**3.
-c**2*(c + 1)**3/4
Let f be -5*(1 - 9/5). Suppose -4 - 4 = -4*q. Determine v so that v**f + 14*v**3 + 3*v**4 + 18*v**q + 8 + 10*v - 6 = 0.
-1, -1/2
Suppose -c = 4 - 4. Factor -2/9*u + c*u**2 + 2/9*u**3 + 0.
2*u*(u - 1)*(u + 1)/9
Suppose 4*k = -2*k + 12. Factor -8 + 4*z + 2*z**2 + k + 0 + 0.
2*(z - 1)*(z + 3)
Let o(x) be the first derivative of -4/15*x**3 - 2 + 2/25*x**5 - 1/5*x**2 - 2*x + 1/30*x**4. Let u(h) be the first derivative of o(h). What is f in u(f) = 0?
-1, -1/4, 1
Let t be 0/((-3)/((-9)/(-6))). Suppose -10 = -t*l - 5*l. Let -2 + 2*z - 1/2*z**l = 0. What is z?
2
Let k(z) be the second derivative of z**9/7560 + z**8/2520 + z**7/3780 + z**4/12 + 5*z. Let n(s) be the third derivative of k(s). Factor n(o).
2*o**2*(o + 1)*(3*o + 1)/3
Suppose 27 = 3*o - l - 3*l, 3*o - l - 18 = 0. Let w(d) = 2*d + 25. Let m be w(-11). Factor 16/5*x**o - 36/5*x**2 + 0 - 72/5*x**4 + 4/5*x + 97/5*x**m.
x*(x - 2)**2*(4*x - 1)**2/5
Let z(i) be the third derivative of i**7/630 + i**6/90 + i**5/45 - 21*i**2. Suppose z(b) = 0. Calculate b.
-2, 0
Let b(w) = 12*w**4 + 78*w**3 - 51*w - 12. Suppose 3*i + 81 = -0*i. Let n(r) = r**4 + 6*r**3 - 4*r - 1. Let g(o) = i*n(o) + 2*b(o). Find s, given that g(s) = 0.
-1, 1
Let u be 6/(-8) + (-272)/(-360). Let b(o) be the third derivative of -1/45*o**5 - u*o**6 + 0 - o**2 - 1/36*o**4 + 0*o + 0*o**3. Factor b(t).
-2*t*(t + 1)**2/3
Solve -18*s**3 - 2*s**4 + s**4 + 4*s**4 = 0 for s.
0, 6
Factor -3*k**3 - 15*k + 3 + 3 + 26*k**2 - 14*k**2.
-3*(k - 2)*(k - 1)**2
Suppose 0 = 6*l - 4*l. Let c(u) be the third derivative of 1/15*u**5 + 0 + l*u + 1/12*u**4 - 1/3*u**3 + 2*u**2. Factor c(q).
2*(q + 1)*(2*q - 1)
Suppose 5*s = 3*l + 20, -3*l = s - 8*l - 4. Let d(q) be the first derivative of 1/9*q**3 - 1/2*q**2 + 1/4*q**s - 1/3*q + 2. Determine y so that d(y) = 0.
-1, -1/3, 1
Let c(w) be the third derivative of -w**9/241920 - w**8/40320 + w**5/12 + 5*w**2. Let d(o) be the third derivative of c(o). Factor d(l).
-l**2*(l + 2)/4
Let y(p) be the second derivative of -p**5/5 - 4*p**4/3 - 8*p**3/3 - 8*p. Factor y(t).
-4*t*(t + 2)**2
Let o(a) be the third derivative of -1/480*a**6 + 1/96*a**4 + 0*a**3 - a**2 - 1/840*a**7 + 1/240*a**5 + 0 + 0*a. Suppose o(q) = 0. Calculate q.
-1, 0, 1
Let y(r) be the second derivative of r**4/3 - 8*r**3/3 + 8*r**2 - 3*r. Factor y(q).
4*(q - 2)**2
Let o(i) = 6*i**4 + 3*i**3 + 4*i**2 - 3*i + 5. Let m(j) = -j**4 - j**3 - j**2 + j - 1. Let g(x) = -15*m(x) - 3*o(x). Factor g(p).
-3*p*(p - 2)*(p - 1)*(p + 1)
Let c = 2 - 1. Let x(b) = -b**2 - 6*b + 1. Let r(v) = v. Let p(m) = 5*r(m) + x(m). Let f(o) = -o**3 - o**2 - 1. Let q(s) = c*f(s) + p(s). Solve q(g) = 0 for g.
-1, 0
Let a(g) = -2*g**2 + g - 2. Suppose t = 2*t + 3. Let i = t - 0. Let b(z) = -6*z**2 + 4*z - 6. Let q(u) = i*b(u) + 8*a(u). Factor q(n).
2*(n - 1)**2
Let j(u) be the second derivative of 0*u**2 + 1/60*u**4 + 1/15*u**3 - 7*u + 0. Factor j(i).
i*(i + 2)/5
Suppose -5*t + 12 = 2. Let c(o) = -o**2 + 6*o - 3. Let z be c(t). Find l, given that -z*l**4 + 5*l**4 + 7*l**3 + 3*l**4 - 4*l**3 = 0.
-1, 0
Let u(d) be the second derivative of -d**5/5 + 5*d**4/3 - 14*d**3/3 + 6*d**2 - 4*d. Find x, given that u(x) = 0.
1, 3
Let m(k) be the third derivative of 0*k**4 + 0*k + 0 - 1/60*k**5 + 1/6*k**3 + k**2. Find f such that m(f) = 0.
-1, 1
Let x be (4 - 1) + (-3755)/1435. Let g = -4/41 + x. Factor 2/7*s - g*s**4 + 2/7*s**2 - 2/7*s**3 + 0.
-2*s*(s - 1)*(s + 1)**2/7
Let j(a) be the first derivative of 9 + 0*a + 0*a**2 - 1/8*a**4 - 1/3*a**3. Suppose j(f) = 0. What is f?
-2, 0
Determine z, given that 0 + 0*z - 6/7*z**5 + 2/7*z**3 - 4/7*z**2 + 8/7*z**4 = 0.
-2/3, 0, 1
Let j(h) be the third derivative of 0 - 1/30*h**5 + 1/24*h**4 + 0*h**3 - 1/40*h**6 + 4*h**2 + 0*h. Factor j(b).
-b*(b + 1)*(3*b - 1)
Find x, given that 8/5 - 1/5*x**2 + 2/5*x = 0.
-2, 4
Let h be 2/19 - (-4)/684. Let c(v) be the first derivative of -h*v**3 + 0*v - 1/6*v**2 - 3. Factor c(f).
-f*(f + 1)/3
Let x be ((-4)/18)/((-20)/3). Let k(i) be the third derivative of x*i**5 + 0*i - 1/3*i**3 + 0 + 0*i**4 - 2*i**2. Factor k(m).
2*(m - 1)*(m + 1)
Let i = 31 - 28. Factor -3 - 3/4*o**2 + i*o.
-3*(o - 2)**2/4
Let v = 33 + -30. Factor -16/3 - 49/3*r**4 + 56*r**v - 88/3*r**2 - 32*r.
-(r - 2)**2*(7*r + 2)**2/3
Let l(q) be the second derivative of 1/50*q**6 + 0*q**2 - 3*q - 1/20*q**4 + 1/100*q**5 - 1/30*q**3 + 0. Factor l(f).
f*(f - 1)*(f + 1)*(3*f + 1)/5
Let g(w) be the second derivative of -2/3*w**4 + 0 + w - 2/3*w**3 - 4*w**2. Let v(k) = k**2 + 1. Let h(q) = g(q) + 10*v(q). Factor h(j).
2*(j - 1)**2
Let l(u) be the second derivative of u**4/4 + 20*u. Factor l(b).
3*b**2
Factor -1/3*b - 5/2*b**3 + 11/6*b**4 + 3/2*b**2 + 0 - 1/2*b**5.
-b*(b - 1)**3*(3*b - 2)/6
Let m(a) = 3*a**2 + 23*a + 15. Let r(x) = 5*x**2 + 35*x + 22. Let w(d) = 8*m(d) - 5*r(d). Let i be w(10). Factor 4/7*t**2 + i*t - 2/7*t**3 + 0 - 2/7*t**4.
-2*t**2*(t - 1)*(t + 2)/7
Let o(k) be the first derivative of -k**4/14 + 4*k**3/21 - 10. Let o(d) = 0. What is d?
0, 2
What is j in 4/15 - 2/3*j - 8/5*j**2 = 0?
-2/3, 1/4
Factor 105 + 5 + 32*c + 2*c**2 + 0*c**2 + 18.
2*(c + 8)**2
Suppose 0 = -0*a - 2*a + 10. Factor 0*d**5 - 6*d**5 - 3*d - 7*d**a - 27*d**3 + 7*d**5 - 21*d**4 - 15*d**2.
-3*d*(d + 1)**3*(2*d + 1)
Let u(m) be the first derivative of m**4/2 + 10*m**3/3 + 3*m**2 - 18*m + 2. Solve u(k) = 0.
-3, 1
Let u(d) be the first derivative of -3*d**5/5 - 7*d**4/8 + d**3/6 + d**2/2 + 18. Determine y, given that u(y) = 0.
-1, -2/3, 0, 1/2
Let y be ((-2)/117)/(((-34)/(-18))/(-17)). Let 2/13*m**4 + 10/13*m**3 - 2/13*m**5 - y*m**2 - 16/13*m - 8/13 = 0. What is m?
-1, 2
Factor 141*k**5 - 4*k**3 + 2*k**4 - 8*k**4 - 143*k**5.
-2*k**3*(k + 1)*(k + 2)
Suppose -4*n = q - 5*n - 7, 3*q - 5*n = 31. Suppose 6*r**3 + 3*r**4 + r**4 + 4*r**2 - 4*r**2 - q*r = 0. Calculate r.
-1,