 first derivative of r**4 - 2*r**2 + 9. Factor d(l).
4*l*(l - 1)*(l + 1)
Factor 8/7*i**2 + 10/7*i**4 + 2/7*i**5 + 0*i + 16/7*i**3 + 0.
2*i**2*(i + 1)*(i + 2)**2/7
Let k(x) = -6*x**2 + 5*x - 1. Let d(v) = -5*v**2 + 4*v - 1. Let l(f) = -3*d(f) + 2*k(f). Let r be l(1). Let 3*g**3 - 4*g + 3*g - 4*g**3 - r*g**2 = 0. What is g?
-1, 0
Find i, given that 10/11*i**2 - 18/11*i**3 + 18/11*i + 4/11 - 14/11*i**4 = 0.
-1, -2/7, 1
Let f(p) = 2*p + 1. Let i be f(1). Find r, given that -r + i*r**2 + 3*r**3 - 4*r**5 - 5*r**2 + 3*r**3 - r + 2*r**4 = 0.
-1, -1/2, 0, 1
Let i(o) be the first derivative of 4*o**3/3 - o**2 + 3. Find z, given that i(z) = 0.
0, 1/2
Let d(i) be the second derivative of -i**3/6 + 2*i**2 + 2*i. Let f be d(0). Factor m**3 + 0*m - m**4 - m + f*m**2 - 3*m**4.
-m*(m - 1)*(m + 1)*(4*m - 1)
Let l(v) be the third derivative of v**8/1680 + 4*v**7/525 + v**6/30 + v**5/30 - 7*v**4/40 - 3*v**3/5 - 48*v**2. Let l(m) = 0. What is m?
-3, -2, -1, 1
Factor 3/5*o**3 + 27/5 + 21/5*o**2 + 9*o.
3*(o + 1)*(o + 3)**2/5
Let k = -820283/528 - -17100/11. Let g = -5/16 + k. Factor 2/3 + 0*p - g*p**2.
-2*(p - 1)*(p + 1)/3
Find t such that 44/5*t**4 - 16*t**3 + 44/5*t**2 - 16/5 - 8/5*t**5 + 16/5*t = 0.
-1/2, 1, 2
Let f(h) = -h - 6. Let j be f(-8). Suppose 0 = -5*o - 2*d + 30, 3*d - 20 = 3*o - 17. Suppose 0 + o*r**3 + j*r**2 + 16/7*r**4 + 2/7*r = 0. What is r?
-1, -1/2, -1/4, 0
Factor -a**2 - 38/3*a + 13/3.
-(a + 13)*(3*a - 1)/3
Determine v so that -58 - 5*v + 58 + 5*v**5 + 10*v**2 - 10*v**4 = 0.
-1, 0, 1
Let h(g) be the first derivative of g**7/21 + g**6/5 + 3*g**5/10 + g**4/6 - g - 4. Let q(i) be the first derivative of h(i). Factor q(v).
2*v**2*(v + 1)**3
Factor 1 - 3/2*k - 5/2*k**2.
-(k + 1)*(5*k - 2)/2
Let c(g) be the first derivative of 81*g**5/5 - 81*g**4/4 - 45*g**3 - 51*g**2/2 - 6*g + 6. Factor c(m).
3*(m - 2)*(3*m + 1)**3
Let o(k) = 6*k - 4. Let n be o(3). Suppose -5*p + 4*i = -2*p - n, 3*i = 5*p - 16. Factor 0*m**p + 2 - 2*m + m - m**2 + 0*m.
-(m - 1)*(m + 2)
Factor -13*q**3 + 8*q**3 + 0*q**3.
-5*q**3
Let h(y) = y**4 - y**3 - y**2 + 1. Let f(m) = 7*m**4 - 9*m**3 - 3*m**2 - m + 6. Let p(s) = -f(s) + 6*h(s). Factor p(q).
-q*(q - 1)**3
Let x(g) be the first derivative of g**4/2 + 2*g**3 + 3. Find l, given that x(l) = 0.
-3, 0
Let 2/7*r**3 + 2/7*r**4 - 2/7*r**2 + 0 - 2/7*r = 0. Calculate r.
-1, 0, 1
Let v(z) be the first derivative of z**4/8 + 11. What is t in v(t) = 0?
0
Let k = 47/333 - -3/37. Factor k*l**2 + 2/9*l**3 - 2/9*l - 2/9.
2*(l - 1)*(l + 1)**2/9
Factor 59*n**5 - 30*n**4 - 80*n - 3*n**3 - 31*n**5 - 33*n**5 - 2*n**3 + 120*n**2.
-5*n*(n - 1)**2*(n + 4)**2
Let q(i) = -i**2 + 10*i + 13. Let u be q(11). Suppose d**5 + 0*d + 8*d**4 + 12*d**3 + 8*d**2 + u*d + d**5 = 0. What is d?
-1, 0
Let y(h) be the third derivative of h**6/96 + h**5/20 + 3*h**4/32 + h**3/12 - 2*h**2. Factor y(p).
(p + 1)**2*(5*p + 2)/4
Let m(v) be the first derivative of -v**6/3 + 6*v**5/5 - 8*v**3/3 - 1. Find a, given that m(a) = 0.
-1, 0, 2
Suppose -20/9*y**3 + 8/9 - 2/3*y**2 + 8/3*y - 2/3*y**4 = 0. What is y?
-2, -1/3, 1
Let s(i) = 54 - 25 + i - 22. Let t be s(-5). Factor -2/7*m**4 - 2/7*m**3 + 2/7*m**t + 2/7*m + 0.
-2*m*(m - 1)*(m + 1)**2/7
Suppose -2*a - 8 = -4*a + 2*n, -3*a - 2*n + 7 = 0. Solve 3/4 - 1/4*f**a + 5/4*f**2 - 7/4*f = 0.
1, 3
Let w(u) be the second derivative of 0*u**4 + 1/3*u**3 - 1/120*u**5 + 0 + 1/360*u**6 + u + 0*u**2. Let h(f) be the second derivative of w(f). Factor h(m).
m*(m - 1)
Let h be 5/20 + (-2)/(-8). Let c(t) be the second derivative of -h*t**2 + 2/3*t**3 + 1/10*t**5 - 5/12*t**4 + t + 0. Find l, given that c(l) = 0.
1/2, 1
Let s(y) be the first derivative of -2 + 0*y**2 + 1/25*y**5 - 2/15*y**3 + 0*y**4 + 1/5*y. Factor s(k).
(k - 1)**2*(k + 1)**2/5
Suppose 2*h - 6 = 3*h. Let g be (-2)/h + 11/165. Suppose 0*r + 0 + g*r**3 - 2/5*r**2 = 0. Calculate r.
0, 1
Let c(f) be the third derivative of f**7/105 + f**6/15 + f**5/10 - f**4/3 - 4*f**3/3 + 2*f**2. Factor c(t).
2*(t - 1)*(t + 1)*(t + 2)**2
Let u(m) be the second derivative of m**4/30 + m**3/15 - 5*m. Let u(r) = 0. What is r?
-1, 0
Let g(v) = v**5 + 3*v**4 + 3*v**3 + v**2. Let b = 8 + -13. Let p(c) = -c**5 - 3*c**4 - 3*c**3 - c**2. Let k(m) = b*p(m) - 4*g(m). Factor k(x).
x**2*(x + 1)**3
Let s(b) be the third derivative of 0*b**3 - 4*b**2 + 0 + 0*b + 1/60*b**6 + 0*b**4 + 1/105*b**7 + 0*b**5. Find c such that s(c) = 0.
-1, 0
Factor 5/4*o + 0 - 5/2*o**2 + 5/4*o**3.
5*o*(o - 1)**2/4
Let r be 1 - 12/15 - (-19)/5. Suppose 0 - 1/4*k**3 + 1/4*k**2 - 1/4*k**r + 1/4*k = 0. Calculate k.
-1, 0, 1
Let r(n) be the second derivative of 1/2*n**4 + n + n**2 + 0 + n**3 + 1/10*n**5. Factor r(i).
2*(i + 1)**3
Let h(d) = -11*d**2 + 80*d - 17. Let x(a) = 32*a**2 - 242*a + 50. Let b(t) = 20*h(t) + 6*x(t). What is z in b(z) = 0?
2/7, 5
Suppose 6 = 2*b, 5*f - b = -6*b + 30. Solve 0 - 1/2*u**4 - u**f - 1/2*u**2 + 0*u = 0.
-1, 0
Let w(b) = -2*b - 6. Let c be w(-4). Let x be 5/c - (-3)/(-6). Find z such that -11 + 4*z + 7 + 2 - x*z**2 = 0.
1
Find b such that -50/3 - 2/3*b**3 - 70/3*b - 22/3*b**2 = 0.
-5, -1
Let m be 1/(-2) - 14/(-4). Let 13 - 14*g**2 - 5 - 2*g**5 - 4*g**3 + 6*g**4 + 6*g**m = 0. What is g?
-1, 1, 2
Suppose -9 = -3*l - 3. Determine c so that -1/2*c + 0 + 2*c**l - 6*c**4 - 9/2*c**5 + c**3 = 0.
-1, 0, 1/3
Let i be (-60)/(-160) - 6/16. Let d**3 - 1/2*d - 1/2*d**2 + i = 0. What is d?
-1/2, 0, 1
Let x(k) be the third derivative of -k**6/60 + k**5/5 - k**4 + 8*k**3/3 + 13*k**2 + k. Factor x(i).
-2*(i - 2)**3
Let t(j) = -3*j**2 + 2*j - 3. Let l(m) = 5*m**2. Let o be l(1). Let y(x) = 3*x**2 - x + 3. Let v(r) = o*t(r) + 4*y(r). Factor v(w).
-3*(w - 1)**2
Suppose -44 = -5*u + 5*j - 14, 2*u - j = 10. Let 2*r + 2*r**5 - 8*r**u + 12*r**3 - 8*r**2 - 2*r**3 + 2*r**3 = 0. Calculate r.
0, 1
Let m(z) = 78*z - 230. Let o be m(3). Solve -2/5*v - 6/5*v**3 + 0 + 2/5*v**o + 6/5*v**2 = 0 for v.
0, 1
Let -6/5*k**2 - 2/5 + 2/5*k**3 + 6/5*k = 0. What is k?
1
Let u = -15 - -8. Let w(p) = 4*p**2 + 8*p + 11. Let v(t) = 2*t**2 + 4*t + 6. Let y(x) = u*v(x) + 4*w(x). Suppose y(c) = 0. Calculate c.
-1
Let n(c) be the third derivative of 0*c + 1/30*c**6 - 13/90*c**5 + 1/3*c**4 - 4/9*c**3 - 1/315*c**7 + 0 - 2*c**2. Factor n(t).
-2*(t - 2)**2*(t - 1)**2/3
Let t(v) = -5*v**5 - 5*v**4 - 8*v**3 - 4*v**2 - 4*v + 4. Let p(r) = 4*r**5 + 5*r**4 + 8*r**3 + 4*r**2 + 3*r - 3. Let b(o) = -4*p(o) - 3*t(o). Solve b(h) = 0.
-2, -1, 0
Let p be (-1)/((-1)/3) + 2. Suppose n = p*z + 10, -3*n + 8 = 2*z - 5. Find q, given that 3*q**5 - 3*q**5 - q**n + 0*q**4 + 2*q**4 - q**3 = 0.
0, 1
Let z(v) be the first derivative of v**3/12 - 3*v**2/8 + 6. Suppose z(k) = 0. Calculate k.
0, 3
Let m be (0/3)/(-4 + 3). Suppose -2*g - 2*g = m. Solve g*t**3 + 0*t + 2/13 - 4/13*t**2 + 2/13*t**4 = 0.
-1, 1
Suppose 0*z**2 + 2*z + 0*z**2 - 3*z**2 + z = 0. Calculate z.
0, 1
Let l be -16*((-3)/(-6) + -1). Factor l*j**2 - 5*j - 3*j + 10 - 4*j**3 - 8 + 2*j**2.
-2*(j - 1)**2*(2*j - 1)
Let v(w) be the second derivative of -w**5/20 - 5*w**4/12 - 4*w**3/3 - 2*w**2 + 4*w. Determine p so that v(p) = 0.
-2, -1
Suppose -20 = 4*p, -3*p = -r + 4 + 11. Let y(q) be the second derivative of -q + 0 - 1/54*q**4 + r*q**3 - 1/90*q**5 + 0*q**2. Solve y(g) = 0.
-1, 0
Let g(v) = -10*v - 28. Let a be g(-3). Let l be (-9)/10*(-8)/6. Determine u, given that 0 + l*u**a - 6/5*u**3 - 2/5*u + 2/5*u**4 = 0.
0, 1
Let p be (18872/(-52) - -1)*1. Let r = p - -365. Factor 8/13 + r*b + 50/13*b**2.
2*(5*b + 2)**2/13
Let n = 6 - 9. Let j be (-2)/(n*16/12). Factor -j*d + 1/2*d**2 - 1.
(d - 2)*(d + 1)/2
Let s(g) = -25*g**3 - 50*g**2 - 60*g. Let u(x) = -8*x**3 - 17*x**2 - 20*x. Let w(y) = -3*s(y) + 10*u(y). Factor w(t).
-5*t*(t + 2)**2
Let a(y) = -7*y**3 - 4*y + 8. Let n(t) = -13*t**3 - 7*t + 14. Let r(s) = 7*a(s) - 4*n(s). Factor r(u).
3*u**3
Let x = 150/7 - 148/7. Factor 2/7*n**5 - 6/7*n**4 + 0*n + 6/7*n**3 + 0 - x*n**2.
2*n**2*(n - 1)**3/7
Let g(x) be the third derivative of x**7/945 - x**6/540 - x**5/90 + x**4/108 + 2*x**3/27 - 11*x**2. What is r in g(r) = 0?
-1, 1, 2
Let v(b) = b - 9. Let g be v(16). Suppose g = -2*d + 15. Factor 0 - 1/4*y + 1/4*y**2 + 1/4*y**3 - 1/4*y**d.
-y*(y - 1)**2*(y + 1)/4
Suppose 12*o**3 + 0*o + 15*o**2 + 7*o - o - 3*o = 0. What is o?
-1, -1/4, 0
Let z(w) be the second derivative of -w**9/1512 + w**7/210 -