0*v.
-(v - 1)*(v + 1)/2
Let f(h) = -8*h**2 - 4*h. Let x(t) = -t**2 - t. Let z(r) = -f(r) + 4*x(r). Let z(l) = 0. What is l?
0
Let j = 13 + -10. Determine p, given that 0*p + 4*p**j - 1 - 2*p**4 + 3 - 4*p = 0.
-1, 1
Let u = 1/155 + 303/1085. Let m = 8/77 + 2/11. Solve 0*r + 0 - u*r**2 + m*r**3 = 0.
0, 1
Let d(h) be the second derivative of h**5/45 - h**4/27 - 39*h. Factor d(p).
4*p**2*(p - 1)/9
Let f = -26 - -26. Let u(q) be the third derivative of f + 0*q**3 - 1/60*q**6 + 0*q**4 + 1/60*q**5 + 1/210*q**7 + 0*q + 2*q**2. What is z in u(z) = 0?
0, 1
Let z(v) = v**2 + 1. Let i(x) = -x**2 + x - 1. Let h(w) = i(w) + 2*z(w). Let q(d) = 8*d**2 + 6*d. Let j(c) = 2*h(c) - q(c). Factor j(a).
-2*(a + 1)*(3*a - 1)
Solve 3/2*a**2 + 9/2*a**3 - 3 + 3/2*a**4 - 9/2*a = 0 for a.
-2, -1, 1
Suppose -4*v + 20 = v, 3*v = 5*c - 8. Let h(z) be the first derivative of -z**2 + 4/5*z**5 + 1/3*z**6 + 0*z + 0*z**c - 3 - 4/3*z**3. Solve h(i) = 0 for i.
-1, 0, 1
Let b(a) = -a**5 + a**4 + a**3 - a**2 + a - 1. Let x(y) = -6*y**5 - 9*y**4 + 33*y**3 - 15*y**2 + 12*y - 15. Let t(g) = -15*b(g) + x(g). Factor t(h).
3*h*(h - 1)**3*(3*h + 1)
Let v(n) be the first derivative of 3*n**5/25 - 3*n**4/5 + 6*n**3/5 - 6*n**2/5 + 3*n/5 - 8. Factor v(t).
3*(t - 1)**4/5
Let c(p) = 147*p**4 - 60*p**3 - 366*p**2 - 177*p - 27. Let b(m) = -147*m**4 + 59*m**3 + 366*m**2 + 176*m + 28. Let w(x) = 3*b(x) + 4*c(x). Factor w(y).
3*(y - 2)*(y + 1)*(7*y + 2)**2
Let v(g) be the third derivative of -g**7/420 + 7*g**6/240 - 3*g**5/20 + 5*g**4/12 - 2*g**3/3 + 6*g**2. Factor v(b).
-(b - 2)**3*(b - 1)/2
Suppose 0 = v + 3*a - 2*a - 7, 10 = 2*a. Factor -1/3 - 1/3*s**v - 2/3*s.
-(s + 1)**2/3
Factor 6*d**3 + 5*d + 4 - 26*d + 102*d**2 - 92*d**2 - 3*d**4 - d**5 + 5.
-(d - 1)**3*(d + 3)**2
Let x(i) be the first derivative of i**6/30 + 11*i**5/60 + 5*i**4/24 - i**3/3 + 2*i**2 + 1. Let h(c) be the second derivative of x(c). Factor h(g).
(g + 1)*(g + 2)*(4*g - 1)
Let m(p) = p**2 - 5*p - 1. Let f be m(7). Let b be (f - 9) + (-2)/2. Factor b*s - s**5 + 3*s**4 + s**4 - 6*s**3 + 4*s**2 - 4*s.
-s*(s - 1)**4
Let l be (-3 - (-3 - 1)) + 2. Factor m + m**2 - 1 - 10*m**3 + m**3 + 8*m**l.
-(m - 1)**2*(m + 1)
Find d, given that 2/5*d**2 + 2/5*d**3 + 0*d + 0 = 0.
-1, 0
Find m such that -2/3*m**3 - 4/3*m**2 + 2/3*m**4 + 0*m + 0 = 0.
-1, 0, 2
Factor w + 1 + 3 + 7*w + 9*w**2 + 4*w.
(3*w + 2)**2
Let m(x) = 47*x**2 - 26*x + 2. Let i(w) be the first derivative of -46*w**3/3 + 25*w**2/2 - w + 4. Let j(k) = -2*i(k) - 3*m(k). Factor j(q).
-(7*q - 2)**2
Let w(o) be the first derivative of -o**5/5 - o**4/4 + o**3/3 + o**2/2 - 8. Factor w(h).
-h*(h - 1)*(h + 1)**2
Let u(g) = -2*g - 8. Let x be u(-8). Suppose 13*o - x = 9*o. Factor 0 - 2*z**o - 3/2*z**3 + z**4 + 1/2*z**5 + 2*z.
z*(z - 1)**2*(z + 2)**2/2
Let a(y) be the second derivative of y + 1/12*y**3 - 1/40*y**5 - 1/12*y**4 + 1/2*y**2 + 0. Determine o, given that a(o) = 0.
-2, -1, 1
Let k(f) be the first derivative of -f**4/32 + f**3/24 + f**2/8 + 11. Factor k(n).
-n*(n - 2)*(n + 1)/8
Suppose 273*w - 10 + 1948*w**3 + 63*w + 1176*w**2 + 42 - 576*w**3 = 0. Calculate w.
-2/7
Suppose -4*f - 12 = -20. Let q(d) be the first derivative of 0*d - 2/3*d**3 + f - 2*d**2. Factor q(r).
-2*r*(r + 2)
Let v(w) be the first derivative of -3*w**4/2 - 11*w**3/2 + 9*w**2/4 - 11. Let v(k) = 0. Calculate k.
-3, 0, 1/4
Suppose 596*b**2 - 2*b**3 + 4*b**3 - 608*b**2 + 18*b = 0. Calculate b.
0, 3
Let v(n) = -7*n**3 - 19*n**2 - 17*n - 8. Let f(g) = -13*g**3 - 37*g**2 - 35*g - 16. Let r(l) = -3*f(l) + 5*v(l). Factor r(k).
4*(k + 1)**2*(k + 2)
Let z(a) be the first derivative of -a**6/48 - a**5/10 + 3*a**4/16 + a**3/6 - 5*a**2/16 - 15. Determine c so that z(c) = 0.
-5, -1, 0, 1
Let t(z) be the second derivative of -z**4/4 - 5*z**3/2 - 6*z**2 + 22*z. Factor t(d).
-3*(d + 1)*(d + 4)
Let b(f) = f**3 - 4*f**2 - 5. Let c be b(4). Let g be (-6)/(-4)*(c + 17). Factor -3*w - 29*w + 42*w**2 + 2 + 6 - g*w**3.
-2*(w - 1)*(3*w - 2)**2
Let t be (-11)/(-3) - 20/30. Let d = 6 - t. What is s in 4/9*s + 0*s**2 + 2/9 - 2/9*s**4 - 4/9*s**d = 0?
-1, 1
Suppose -5*t + 3*r + 30 = 0, t - 16 = 5*r + 12. What is k in -2 - 225/2*k**2 + 162*k**t + 26*k = 0?
2/9, 1/4
Let a be (-39)/520*(-2)/36. Let f(r) be the third derivative of 0*r - a*r**5 - 1/6*r**3 + 1/24*r**4 + r**2 + 0. Factor f(y).
-(y - 2)**2/4
Let i(o) be the first derivative of -3*o**5/5 + 3*o**4/2 - 3*o**2 + 3*o + 5. Suppose i(x) = 0. What is x?
-1, 1
Let g be 2/4*(3 + 3)/12. Solve g*l**3 - 1/4*l**4 + 0 + 0*l + 0*l**2 = 0 for l.
0, 1
Let m(z) = -z**2 + 3*z + 2. Let g be m(2). Let i = g - 1. Let 0*c**5 + c**5 + 3*c**3 - 4*c**i = 0. Calculate c.
-1, 0, 1
Let v(m) = m. Let x be v(4). Suppose -5*o + 6 = -l, -x*o = -2*o + l - 8. Find p such that p**3 - 3*p**3 + 0*p**3 + 2*p + 2*p**2 - o*p**4 = 0.
-1, 0, 1
Let x(o) be the first derivative of -1/12*o**3 + 0*o + 2 + 0*o**2. Factor x(c).
-c**2/4
Find x, given that 8/7 + 2/7*x**2 - 8/7*x = 0.
2
Let d(h) be the third derivative of -h**8/2688 - h**7/840 + h**5/240 + h**4/192 + 18*h**2. Factor d(g).
-g*(g - 1)*(g + 1)**3/8
What is n in 0 - 18/7*n**2 + 9/7*n**4 + 0*n - 3*n**3 = 0?
-2/3, 0, 3
Suppose 11 = -2*i + 1. Let n be 3/i + (-65)/(-25). Factor -2/3*k + 0 + 2/3*k**3 + 0*k**n.
2*k*(k - 1)*(k + 1)/3
Factor 0 + c**3 - 1/2*c**2 + 0*c - 1/2*c**4.
-c**2*(c - 1)**2/2
Let a be -1 - (-5 - (-1)/(-1)). Let l(f) be the first derivative of 0*f**4 + 0*f**3 + 0*f + 0*f**2 + 1 + 2/5*f**a. Determine p, given that l(p) = 0.
0
Suppose -2*k + 7 = 3. Let v be (k + 0)*(-1)/(-2). Factor -v - 1/3*n**2 - 4/3*n.
-(n + 1)*(n + 3)/3
Let a(x) be the second derivative of -1/10*x**5 + 0 - 1/45*x**6 + 1/9*x**3 + 3*x + 0*x**2 + 2/63*x**7 + 1/18*x**4. Determine w, given that a(w) = 0.
-1, -1/2, 0, 1
Let k(h) be the third derivative of h**10/9072 - h**8/7560 + h**5/60 + h**2. Let y(u) be the third derivative of k(u). Solve y(q) = 0.
-2/5, 0, 2/5
Let u be (-9)/(-3)*(-2)/(-12). Let j = 25/26 - 6/13. Suppose u*k**2 - j*k - 1 = 0. What is k?
-1, 2
Factor 3*a**2 - 8*a**4 + 5*a**4 + 3*a**3 - 3*a**5 + 0*a**5.
-3*a**2*(a - 1)*(a + 1)**2
Let t(c) be the third derivative of c**8/168 - 4*c**7/105 - c**6/30 + 2*c**5/5 + 3*c**4/4 + 4*c**2. Factor t(o).
2*o*(o - 3)**2*(o + 1)**2
Let g(o) = -9*o**2 + 49*o - 51. Let x(l) = 2*l**2 - 10*l + 10. Let a(u) = 2*g(u) + 11*x(u). Factor a(k).
4*(k - 2)*(k - 1)
Suppose 7 = 4*c - 13. Let v(k) be the third derivative of 0*k - 1/180*k**c - 1/18*k**4 + 0 - 2/9*k**3 - k**2. Factor v(u).
-(u + 2)**2/3
Let u(n) = -4*n**3 - 15*n**2 + 3*n. Let v(w) = 2*w**3 + 7*w**2 - w. Let z(d) = 3*u(d) + 7*v(d). Suppose z(i) = 0. What is i?
-1, 0
Determine i so that 3*i + 10*i**3 - 2*i + 3*i + 14*i**2 = 0.
-1, -2/5, 0
Let 9*r**4 + 24 + 2*r**3 + 19*r**3 - 16 - 18*r**2 - 36*r + 16 = 0. Calculate r.
-2, 2/3, 1
Let g be 2/(-4) + (-25)/(-10). Suppose 4*x - 4 = s, -x - s - g = -2*s. Factor x*z**2 + 4*z + 0 - 3*z**2 - 4.
-(z - 2)**2
Let w be (-2)/((-2)/4 + (-6)/24). Find m such that -2/3*m**2 - 8/3 + w*m = 0.
2
Factor -4*l**2 - 2 - 3 + 6*l**2 + 3*l**2.
5*(l - 1)*(l + 1)
Let g(v) be the second derivative of -v**7/42 + v**6/15 + v**5/10 - 2*v**4/3 + 7*v**3/6 - v**2 - 20*v. Factor g(l).
-(l - 1)**4*(l + 2)
Let t(i) = i**3 + 4*i**2 + 5*i. Let s(a) = -1. Let l(v) = -2*v**3 - 11*v**2 - 16*v - 1. Let n(j) = l(j) - s(j). Let y(k) = -2*n(k) - 7*t(k). Solve y(b) = 0.
-1, 0
Let y(b) be the third derivative of b**10/151200 + b**9/20160 + b**8/10080 + 2*b**5/15 + 9*b**2. Let c(p) be the third derivative of y(p). Factor c(r).
r**2*(r + 1)*(r + 2)
Let b be (25/135)/(45/54). Let d be (4/(-3))/(-2)*3. Determine h, given that -2/9*h**d - b + 4/9*h = 0.
1
Let g = 0 - 1. Let z be 3/(-9) + g/(-3). What is d in -10/9*d**3 + 2/3*d**5 + z + 4/9*d + 2/9*d**4 - 2/9*d**2 = 0?
-1, 0, 2/3, 1
Let o(y) be the first derivative of -1 - 1/8*y**4 - y**3 - 3*y**2 - 4*y. Let o(f) = 0. What is f?
-2
Let s be (-7)/(-2*(-1)/(-2)). Let o be (s/2)/((-3)/(-6)). Solve 0*g**3 - 4*g**3 + 6*g**4 - 3*g + o*g - 6*g**2 = 0.
-1, 0, 2/3, 1
Let r(a) be the second derivative of -a**4/36 - 5*a**3/18 - 2*a**2/3 + 53*a. Suppose r(p) = 0. What is p?
-4, -1
Let l(d) be the second derivative of -d**5/5 + d**4 - 8*d**2 + 8*d. Find v such that l(v) = 0.
-1, 2
Let z(g) be the second derivative of g**6/15 + 2*g**5/25 - g**4/30 - 28*g. Let z(o) = 