 w(o) = -7*o**4 - 2*o**3 - 5*o**2 - 5*o. Let j = -1 - -6. Let q(l) = j*h(l) - 8*w(l). Factor q(r).
r**3*(r + 1)
Let u be (-2)/(-7) - (-2 + 2). Suppose -24*j + 25*j = 2. Find q such that 0*q**3 + 0 + 0*q + 0*q**j + u*q**4 = 0.
0
Let z(i) be the second derivative of 0 - 3*i + 1/4*i**4 + 0*i**2 + 0*i**5 - 1/30*i**6 + 1/3*i**3. Find t such that z(t) = 0.
-1, 0, 2
Solve 2/11*v**3 + 0 + 2/11*v**2 - 2/11*v - 2/11*v**4 = 0.
-1, 0, 1
Let m = 328/141 - -16/47. Let -8/3*g + m + 2/3*g**2 = 0. Calculate g.
2
Let i be (3 - -87) + 1 + 2. Let t = -649/7 + i. Factor -2/7*s**3 + 2/7*s - t*s**2 + 0 + 2/7*s**4.
2*s*(s - 1)**2*(s + 1)/7
Let d(i) = -i**2 + 4*i + 4. Let z(k) = -3*k - 3. Let p(y) = -3*d(y) - 4*z(y). Let p(l) = 0. Calculate l.
0
Let k(q) be the first derivative of 3*q**3 - 47*q**2/2 + 10*q + 1. Factor k(o).
(o - 5)*(9*o - 2)
Let g be (-3 - -1)*-4 - 1. Suppose 0 = g*f - 1 - 13. Let -1/4*l**3 - 1/2 - 5/4*l - l**f = 0. What is l?
-2, -1
Suppose -16 = -0*y - 2*y. Determine s, given that -5*s**2 + y*s**2 + s + 6*s**2 + 5*s + 3*s**3 = 0.
-2, -1, 0
Let 1 - 6*s**2 + s + 3*s**4 + 3*s**5 + s + s - 6*s**3 + 2 = 0. Calculate s.
-1, 1
Let s(k) = -23*k**2 + 80*k + 22. Let f(r) = 47*r**2 - 161*r - 43. Let l(g) = -2*f(g) - 5*s(g). Suppose l(w) = 0. Calculate w.
-2/7, 4
Let l(n) be the second derivative of -n**5/10 + n**3 + 2*n**2 - n. Factor l(w).
-2*(w - 2)*(w + 1)**2
Let v(l) be the first derivative of 3*l**4/4 - 11*l**3/9 - 8*l**2/3 + 4*l/3 + 27. Factor v(s).
(s - 2)*(s + 1)*(9*s - 2)/3
Let g = 166 - 166. Let j(d) be the third derivative of 1/270*d**5 - 3*d**2 + g*d - 1/108*d**4 + 0 - 2/27*d**3. Factor j(u).
2*(u - 2)*(u + 1)/9
Let a = -5 - -6. Let t(c) = c**3 - 5*c**2 - 6*c - 6. Let y(n) = n**3 + n - 1. Let j(v) = a*t(v) - 2*y(v). Find m, given that j(m) = 0.
-2, -1
Let n be (-2)/3*(-6)/8. Let o = -5 + 6. Determine t so that -n*t**2 + 3/2*t - o = 0.
1, 2
Factor 16/11 + 8/11*t**4 - 8/11*t + 2/11*t**3 - 20/11*t**2 + 2/11*t**5.
2*(t - 1)**2*(t + 2)**3/11
Factor -k**4 - k**2 - k - 2*k**2 - 6*k**3 + 3*k**3.
-k*(k + 1)**3
Let w(g) be the third derivative of g**6/60 - g**5/30 - g**4/12 + g**3/3 + 7*g**2. Factor w(l).
2*(l - 1)**2*(l + 1)
Let i(b) = 4*b**3 + b**2 - b + 1. Let h be i(1). Suppose g + 3*l - 1 = 10, -4*g - h*l = -23. Factor 3*x - 2*x**g + 0*x + 3*x - 4*x.
-2*x*(x - 1)
Suppose 3*b + 0 - 21 = 0. Let h(d) = d - 5. Let n be h(b). Let 5 + n*a**2 - 16*a + 3 + 6*a**2 + 2*a**2 - 2*a**3 = 0. What is a?
1, 2
Solve 49*z - 1 - 3 - 16*z**3 - 33*z + 4*z**2 = 0.
-1, 1/4, 1
Let h(n) = -3*n**4 + 28*n**3 - 38*n**2 + 23*n - 4. Let m(g) = -7*g**4 + 55*g**3 - 75*g**2 + 45*g - 8. Let v(k) = -5*h(k) + 3*m(k). Let v(i) = 0. What is i?
1/2, 2/3, 1, 2
Let r(z) be the third derivative of z**6/40 - z**4/8 + 7*z**2. Factor r(t).
3*t*(t - 1)*(t + 1)
Let i be (472/30)/(2/6). Let o = 48 - i. Suppose -2/5*r**2 - 2/5 - o*r = 0. What is r?
-1
Let j(v) be the third derivative of v**8/6720 + v**7/3360 - 5*v**3/6 - 4*v**2. Let f(k) be the first derivative of j(k). Solve f(o) = 0.
-1, 0
Let d(p) be the second derivative of -p**6/20 - p**5/5 - p**4/4 + p**2/4 + 5*p. Find z such that d(z) = 0.
-1, 1/3
Factor 1863*r**4 - 2*r**5 - 2*r**5 - 1859*r**4 + 24*r**3.
-4*r**3*(r - 3)*(r + 2)
Let h(n) be the first derivative of 6*n**2 - 2/3*n**6 - 2*n**4 + 4 - 4*n - 8/3*n**3 + 12/5*n**5. Factor h(t).
-4*(t - 1)**4*(t + 1)
Let c(p) = -p**3 - 6*p**2 + 20*p + 34. Let v be c(-8). Factor 9/5*z**3 + 0 + 6/5*z**4 + 3/5*z**v + 0*z.
3*z**2*(z + 1)*(2*z + 1)/5
Factor 1/3*i + 1/3*i**2 + 0.
i*(i + 1)/3
Let j(g) = -g**2 + 5*g - 4. Let t be j(2). Factor 0*i - 4/7*i**t + 0 - 2/7*i**3 + 6/7*i**4.
2*i**2*(i - 1)*(3*i + 2)/7
Suppose 0 = -3*v - v. Suppose 0 = -x - 3*p - 10, 0 = -10*x + 6*x + 2*p + 16. Solve -6/5*s**x - 2/5*s**3 + 8/5 + v*s = 0 for s.
-2, 1
Find i, given that 0 - 9/4*i**4 + 0*i + 3/4*i**5 - 3/4*i**2 + 9/4*i**3 = 0.
0, 1
Let x = 370/3 + -123. Factor 1/3*r - x*r**2 + 2/3.
-(r - 2)*(r + 1)/3
Let u(p) be the third derivative of -p**5/30 - p**4/3 - p**3 + 5*p**2. Find t, given that u(t) = 0.
-3, -1
Let v be (8 - 12)*(-3)/4. Find b, given that 18/11*b**2 + 12/11*b + 2/11 + 8/11*b**v = 0.
-1, -1/4
Let q be (-12)/(-27) + (-4)/36. Let d(o) be the second derivative of o - q*o**2 - 2/9*o**3 - 1/18*o**4 + 0. Determine i, given that d(i) = 0.
-1
Suppose 7 = -s - 2. Let g = s + 11. Find h, given that h - 4*h + 15*h**3 + h**2 + 2*h**g + 9*h**4 = 0.
-1, 0, 1/3
Suppose -r + 0*r = -3. Let p(m) be the second derivative of -m - 12/7*m**r + 5/14*m**5 + 0 + 5/7*m**4 + 8/7*m**2. Factor p(a).
2*(a + 2)*(5*a - 2)**2/7
Let o be (-7 - -11)*(-15)/(-24). Let j(q) be the first derivative of -1/3*q**6 - 8/5*q**5 - o*q**4 + 0*q**2 + 0*q + 4 - 4/3*q**3. Suppose j(z) = 0. What is z?
-2, -1, 0
Let x = -1/50 + 53/150. Let v(a) be the second derivative of 0*a**2 + 0*a**5 + x*a**3 + 0 + 2/15*a**6 + 2*a - 1/3*a**4 - 1/21*a**7. Factor v(u).
-2*u*(u - 1)**3*(u + 1)
Let f = -6 + 6. Suppose w - 5 + 1 = f. Factor 0 + 2/3*g**w + 0*g + 2/3*g**2 - 4/3*g**3.
2*g**2*(g - 1)**2/3
Let y(v) be the third derivative of v**5/300 + v**4/40 - 2*v**3/15 - 15*v**2. What is o in y(o) = 0?
-4, 1
Let r(q) be the second derivative of -3*q**5/28 - q**4/14 + 5*q**3/14 + 3*q**2/7 - 2*q. Factor r(j).
-3*(j - 1)*(j + 1)*(5*j + 2)/7
Let y(j) be the first derivative of 3*j**5/35 + 9*j**4/14 + 11*j**3/7 + 9*j**2/7 - 13. Determine q, given that y(q) = 0.
-3, -2, -1, 0
Let a be 1 - ((-1)/1 - -3). Let d(z) = -3*z + 1. Let u be d(a). Factor 1/2*b - 1/2*b**3 + 0 - 1/2*b**2 + 1/2*b**u.
b*(b - 1)**2*(b + 1)/2
Let v(l) be the second derivative of -1/30*l**5 + 0*l**3 + 2/45*l**6 - 1/63*l**7 + 0*l**2 + 0 + 5*l + 0*l**4. Factor v(t).
-2*t**3*(t - 1)**2/3
Let k = 612 + -612. Suppose -1/3*u**3 + 0*u**2 + 1/3*u**5 + 0 + k*u + 0*u**4 = 0. Calculate u.
-1, 0, 1
Let m(t) be the first derivative of -3*t**4/4 + t**3 - t**2/2 + 3*t + 4. Let i(x) be the first derivative of m(x). Factor i(a).
-(3*a - 1)**2
Let u(b) be the first derivative of 0*b**2 + 1/7*b**4 - 2/21*b**3 + 0*b - 2/35*b**5 - 3. Factor u(k).
-2*k**2*(k - 1)**2/7
Factor 0*z + 3/5*z**3 + 6/5*z**2 + 0.
3*z**2*(z + 2)/5
Let x(g) = 4*g**3 + 8*g**2 + 9*g - 2. Let n(c) = -c**2 - 1. Let z(u) = 20*n(u) - 5*x(u). Factor z(a).
-5*(a + 2)*(2*a + 1)**2
Find g, given that -558*g + 558*g - 4*g**2 = 0.
0
Let p = 307/4 + -1519/20. Factor 2*c + 6/5*c**2 + p.
2*(c + 1)*(3*c + 2)/5
Suppose 5*q = 7*q - 36. Let i be (-1 + 5)*q/24. Factor 0 + a - 1/2*a**4 - a**i + 1/2*a**2.
-a*(a - 1)*(a + 1)*(a + 2)/2
Let j be (-8)/(-6) - 0 - 1. Let t = 691 + -691. Factor 0 + 0*z**3 - 1/3*z**2 + t*z + j*z**4.
z**2*(z - 1)*(z + 1)/3
Let a(v) be the second derivative of 3/16*v**4 + 0 + 3*v + 0*v**2 + 1/12*v**3 + 3/16*v**5 + 11/120*v**6 + 1/56*v**7. Solve a(t) = 0 for t.
-1, -2/3, 0
Let p be (-2)/(-7) + (-228)/14. Let j be (-8)/(-20) - p/10. What is f in -4*f + 4*f**2 - f**2 - 1 + j*f**2 = 0?
-1/5, 1
Let n(k) be the first derivative of -2*k + 0*k**3 - 1/60*k**6 + 1 + 1/40*k**5 + 0*k**4 + 0*k**2. Let l(z) be the first derivative of n(z). Factor l(a).
-a**3*(a - 1)/2
Suppose -3*l + 3*i = 18, -5*l + i - 18 = 2*i. Let j = 7 + l. Let 4/3*t**j + 2/3 - 2*t**2 + 0*t = 0. Calculate t.
-1/2, 1
Let y be 2/((-10)/(-4) - -1). Let -y + 8/7*x**2 + 2*x - 4/7*x**4 - 4*x**3 + 2*x**5 = 0. Calculate x.
-1, 2/7, 1
Let l(y) be the second derivative of -y**7/5040 + y**5/240 + y**4/72 - y**3/2 + 3*y. Let s(j) be the second derivative of l(j). Factor s(w).
-(w - 2)*(w + 1)**2/6
Let y(l) be the third derivative of l**8/840 - l**6/90 + l**4/12 - l**3/6 - 2*l**2. Let x(b) be the first derivative of y(b). Find v, given that x(v) = 0.
-1, 1
Let a = 2/255 - -49/255. Let d(q) be the second derivative of 0 + 4*q - a*q**3 - 9/10*q**2 - 1/60*q**4. Factor d(i).
-(i + 3)**2/5
Find d, given that 22*d**2 - 19*d**3 - 2*d - d**5 + d**3 + 7*d**4 - 15*d + 3 + 4*d = 0.
1, 3
Let z(g) be the second derivative of -g**7/7560 - g**6/1080 + g**5/120 + g**4/6 - 2*g. Let b(s) be the third derivative of z(s). Factor b(i).
-(i - 1)*(i + 3)/3
Factor -6/13*p + 0 - 10/13*p**3 - 2/13*p**4 - 14/13*p**2.
-2*p*(p + 1)**2*(p + 3)/13
Let m(d) = 4*d + 1 - 2*d**2 + 2 - 2*d**3 - 7*d. Let g(j) = j**3 + j**2 + 2*j - 2. Let y(u) = 3*g(u) + 2*m(u). Factor y(t).
-t**2*(t + 1)
Let f(p) = 2*p - 1 + 3*p**2 - 8*p + 5*p. Let v be f(-1). Suppose -2/5