t m be c(-4). Let f(r) be the third derivative of -1/9*r**3 + m*r + 0 - 1/90*r**5 + r**2 - 1/18*r**4. Factor f(u).
-2*(u + 1)**2/3
Let g(u) = u**2 - 1. Let j(z) = 6*z**2 - 4*z - 1. Let p(l) = -10*g(l) + 2*j(l). Let p(q) = 0. What is q?
2
Let f be ((-3)/2)/(1/(-2)). Solve 0 + 0 + 4*d**3 - 9*d**2 - d**f = 0 for d.
0, 3
Suppose 4*t**3 + 14*t - 9*t**2 + 2*t + 12*t**2 + 13*t**2 = 0. Calculate t.
-2, 0
Let a(p) be the second derivative of 2*p + 0 + 1/4*p**4 + 1/10*p**6 - 3*p**2 + 3/2*p**3 - 9/20*p**5. Factor a(x).
3*(x - 2)*(x - 1)**2*(x + 1)
Let f(h) be the first derivative of h**6/360 - h**5/60 + 2*h**3/9 + h**2/2 + 2. Let n(s) be the second derivative of f(s). Factor n(c).
(c - 2)**2*(c + 1)/3
Let c(h) = 6*h + 3. Let a be c(4). Let n be -1 + 5/(75/a). Suppose -2/5*g**2 + 0 - n*g = 0. What is g?
-2, 0
Let k(n) be the third derivative of n**8/168 + n**7/35 + n**6/20 + n**5/30 + 6*n**2. Let k(u) = 0. Calculate u.
-1, 0
Let l(h) be the second derivative of 1/75*h**6 + 0*h**5 - 1/15*h**4 - 4*h + 0 + 1/5*h**2 + 0*h**3. Determine x, given that l(x) = 0.
-1, 1
Let q(f) be the third derivative of f**8/1680 - 2*f**7/525 + f**6/100 - f**5/75 + f**4/120 + 8*f**2. Suppose q(b) = 0. What is b?
0, 1
Let b = 5 - 1. Determine s so that b*s**3 + 5*s**3 + s**4 - s**2 - 8*s**3 - s = 0.
-1, 0, 1
Let k(q) be the first derivative of q**5/6 + 2*q**4/3 - 4*q**3/3 + 3*q**2/2 + 1. Let d(v) be the second derivative of k(v). Factor d(m).
2*(m + 2)*(5*m - 2)
Let i(c) be the first derivative of 1/135*c**6 + c**2 + 0*c**3 + 1/108*c**4 + 0*c + 2/135*c**5 - 5. Let k(h) be the second derivative of i(h). Factor k(u).
2*u*(2*u + 1)**2/9
Let y(n) be the second derivative of -n**4/66 - 8*n**3/33 + 32*n. Factor y(l).
-2*l*(l + 8)/11
Factor -2*f**2 - 2*f**2 + 3*f**4 - 8*f**4 + f**4 - 8*f**3.
-4*f**2*(f + 1)**2
Factor -7/3*r**4 + 2*r + 25/3*r**2 + 0 + 4*r**3.
-r*(r - 3)*(r + 1)*(7*r + 2)/3
Suppose -157*d = -158*d + 2. Factor -3 + 5*l - 7/3*l**d + 1/3*l**3.
(l - 3)**2*(l - 1)/3
Let v(b) be the first derivative of b**4/7 + 4*b**3/21 - 4*b**2/7 + 17. Suppose v(a) = 0. What is a?
-2, 0, 1
Suppose 0 = 4*l + 7 + 1. Let o be 12/(-18)*(l - 1). Factor -2/9*t**3 + 0 + 0*t**o + 0*t.
-2*t**3/9
Let q(f) be the first derivative of -2*f**5 - 13*f**4/2 - 8*f**3/3 + 4*f**2 + 14. Let q(g) = 0. What is g?
-2, -1, 0, 2/5
Let o be 1060/5278 - (-2)/13. Let r = -2/29 + o. Solve 2/7*q**3 - r*q**2 + 0*q + 0 = 0.
0, 1
Let -3/7*j**4 - 9/7 + 6*j + 22/7*j**3 - 52/7*j**2 = 0. What is j?
1/3, 1, 3
Let m(n) be the third derivative of n**5/180 - 2*n**3/9 - 5*n**2. Factor m(d).
(d - 2)*(d + 2)/3
Let t(k) be the second derivative of k**6/75 - 3*k**5/50 + k**4/30 + k**3/5 - 2*k**2/5 - 7*k. Let t(a) = 0. Calculate a.
-1, 1, 2
Let l(i) be the second derivative of -i**5/130 + i**4/78 + 2*i**3/39 + 9*i. Suppose l(r) = 0. Calculate r.
-1, 0, 2
Let m(d) be the third derivative of d**7/420 - d**6/40 + d**5/10 - d**4/6 - d**3/6 + 5*d**2. Let u(q) be the first derivative of m(q). Factor u(r).
(r - 2)**2*(2*r - 1)
Let m = 862/7 - 860/7. Let 0 - m*x - 2/7*x**2 = 0. Calculate x.
-1, 0
Let o(q) = -q - 5. Let h be o(-7). Suppose -u = -0*u - h. Factor 2*x**2 - 3*x**3 - x**3 - u*x**4 - 4*x**2.
-2*x**2*(x + 1)**2
Let x(r) be the third derivative of -r**9/68040 + r**8/3780 - r**7/630 + r**5/20 + 3*r**4/8 - 3*r**2. Let v(s) be the second derivative of x(s). Factor v(p).
-2*(p - 3)**3*(p + 1)/9
Suppose 6 = p - 2*a, 4*p = 6*p - 2*a - 14. Let g be (-4)/(-6) + p/(-21). Let 2/7*b**3 - g*b + 2/7*b**2 - 2/7 = 0. Calculate b.
-1, 1
Factor 0*j**2 + 0*j + 2/3*j**3 + 0.
2*j**3/3
Let b(v) be the third derivative of v**8/10080 + v**7/3780 - v**6/1080 - v**5/180 - v**4/8 + 2*v**2. Let j(y) be the second derivative of b(y). Factor j(f).
2*(f - 1)*(f + 1)**2/3
Let a = 213/3374 - -2/241. Let g(m) be the first derivative of -2/21*m**3 - 1/21*m**6 + 0*m**2 + 1 + 2/35*m**5 + a*m**4 + 0*m. Find l, given that g(l) = 0.
-1, 0, 1
Let u(w) be the first derivative of 9*w**4/10 + 8*w**3/3 + 13*w**2/5 + 4*w/5 + 21. Factor u(j).
2*(j + 1)**2*(9*j + 2)/5
Let n(s) be the second derivative of s**5/60 - s**4/6 + 2*s**3/3 - 4*s**2/3 - 10*s. Factor n(u).
(u - 2)**3/3
What is f in 2/3*f**2 + 2/3*f - 4/3 = 0?
-2, 1
Let u(b) be the second derivative of 0 - 1/12*b**4 - 1/2*b**2 + 1/3*b**3 - 2*b. Factor u(k).
-(k - 1)**2
Let z(g) be the third derivative of g**5/12 + 35*g**4/12 + 245*g**3/6 + 26*g**2. Suppose z(i) = 0. What is i?
-7
Let u(w) = -7*w**2 - 5*w. Let l(b) = -6*b**2 - 6*b. Let s(n) = -4*l(n) + 3*u(n). Factor s(i).
3*i*(i + 3)
Let v(s) be the third derivative of -1/24*s**4 + 1/8*s**3 + 0 + 3*s**2 + 0*s + 1/240*s**5. Let v(g) = 0. What is g?
1, 3
Factor 0 - 7 - 5 - 3*o**2 + 12*o.
-3*(o - 2)**2
Suppose 0 = 4*b + 5*l + 13, -4*b = b + 5*l + 10. Factor 4*h**3 - 5*h**b - h - 8*h**2 + 10*h**2.
-h*(h - 1)**2
Let i(t) be the first derivative of -t**6/6 - 2*t**5/5 + t**4/4 + 2*t**3/3 - 26. Factor i(z).
-z**2*(z - 1)*(z + 1)*(z + 2)
Let g(u) be the first derivative of -2/5*u**5 - 6 + 1/2*u**4 - 1/3*u**6 + 2/3*u**3 + 0*u + 0*u**2. Find l, given that g(l) = 0.
-1, 0, 1
Let n(c) be the third derivative of c**5/15 - 4*c**4/3 + 32*c**3/3 + 38*c**2. Factor n(g).
4*(g - 4)**2
Let a = -81 - -245/3. Let 0 + 2/3*i - a*i**2 = 0. Calculate i.
0, 1
Let s(y) be the first derivative of 0*y**2 - 3/4*y**4 + 0*y - 1 - y**3. Factor s(v).
-3*v**2*(v + 1)
Let l(s) be the first derivative of -2*s**3/21 - 6*s**2/7 - 10*s/7 + 5. Let l(q) = 0. Calculate q.
-5, -1
Let w(l) = -3*l**2 - 14*l + 23. Let h = -2 + 8. Let v(r) = -r**2 - 5*r + 8. Let s(m) = h*w(m) - 17*v(m). Factor s(j).
-(j - 2)*(j + 1)
Let p(s) be the first derivative of -2*s**5/5 - s**4/2 + 2*s**3/3 + s**2 - 7. Solve p(y) = 0.
-1, 0, 1
Let i be 157/(-6) - (-20)/30. Let n = 26 + i. Solve 1/2*c - 2*c**3 - 1/2*c**5 + n*c**2 - 1/4 + 7/4*c**4 = 0.
-1/2, 1
Let n = 7 + -4. Let x(g) be the third derivative of 1/672*g**8 + 1/210*g**7 + g**2 + 0*g**6 + 0*g + 0*g**n + 0 - 1/48*g**4 - 1/60*g**5. Factor x(k).
k*(k - 1)*(k + 1)**3/2
Let x = -2/1553 - -4667/6212. Let 3/2*c**2 + 0 - 3/2*c**4 - 3/4*c**3 + x*c = 0. Calculate c.
-1, -1/2, 0, 1
Let p(r) = -3*r**2 + 21*r - 20. Let b(i) = -i - 1. Let u(o) = 6*b(o) + 2*p(o). Let c(n) = -4*n**2 + 24*n - 31. Let z(a) = -8*c(a) + 5*u(a). Factor z(d).
2*(d - 3)**2
Let n(d) = -d**2 - 11*d - 8. Let f be n(-10). Suppose 5*g**4 - 7*g**f - g**3 + 2*g + 2*g**4 - g**3 + 0*g = 0. What is g?
-1, 0, 2/7, 1
Suppose -6*t + 22 = -8. Suppose t*r = 7*r - 8. Factor 2/5 + 0*g - 4/5*g**2 + 0*g**3 + 2/5*g**r.
2*(g - 1)**2*(g + 1)**2/5
Let m(q) = -14*q**4 - 4*q**3 + 10*q**2 + 12*q. Let j(v) = v**4 - v**2 - v. Let d(f) = -12*j(f) - m(f). Factor d(i).
2*i**2*(i + 1)**2
Let y(l) be the second derivative of 2*l**5/5 + 4*l**4/3 + 5*l**3/3 + l**2 + 3*l. Factor y(m).
2*(m + 1)*(2*m + 1)**2
Let s = 13/28 - 5/28. Determine z so that -12/7*z**2 - s*z**4 - 2/7 + 8/7*z**3 + 8/7*z = 0.
1
Let v(s) be the first derivative of -s**8/840 + s**7/420 + s**6/90 - 4*s**3/3 - 3. Let j(x) be the third derivative of v(x). Factor j(r).
-2*r**2*(r - 2)*(r + 1)
Let h(k) be the third derivative of -1/360*k**6 - 4*k**2 + 0 + 1/180*k**5 + 1/72*k**4 - 1/630*k**7 + 0*k + 0*k**3. Suppose h(w) = 0. Calculate w.
-1, 0, 1
Let v(h) be the second derivative of -h**6/30 + h**5/10 + h**4/12 - h**3/3 + 3*h. Determine d, given that v(d) = 0.
-1, 0, 1, 2
Let t be 4*(9/12)/(-1). Let a be t/(-12) + 39/4. Suppose -6*r - 2*r**4 + 0*r**4 + 2*r - 8*r**3 - a*r**2 = 0. Calculate r.
-2, -1, 0
Suppose 2*r = 3*j - 1, j = -4*r + 7 + 12. Factor -3*u**4 - u**4 + 8*u**4 - 2*u**4 - 2*u**j.
2*u**3*(u - 1)
Let 0*y - 16/3*y**2 - 3*y**4 + 8*y**3 + 1/3*y**5 + 0 = 0. What is y?
0, 1, 4
Let t(o) be the second derivative of o**7/14 - 3*o**5/5 + o**4/2 + 3*o**3/2 - 3*o**2 - o. Solve t(v) = 0 for v.
-2, -1, 1
Factor 0 - 8/7*f**2 + 2/7*f**3 + 6/7*f.
2*f*(f - 3)*(f - 1)/7
Suppose -8/19*n**2 + 0 - 24/19*n + 6/19*n**3 + 2/19*n**4 = 0. What is n?
-3, -2, 0, 2
Let h(n) = -n**3 - 7*n**2 - 7*n - 3. Let a be h(-6). Factor 2/9*p**4 + 0*p + 2/9*p**2 + 4/9*p**a + 0.
2*p**2*(p + 1)**2/9
Let u(l) be the second derivative of -l**7/252 + l**6/36 - l**5/15 + l**4/18 - 23*l. Factor u(b).
-b**2*(b - 2)**2*(b - 1)/6
Let a be (-69)/252 - (-4)/14. Let b(g) be the third derivative of 0*g - 1/210*g**5 + 0 + 1/21*g**3 - 1/420*g**6