 c - 2/7*z**3 = 0 for z.
-1, 1
Let i(l) be the third derivative of l**8/504 - l**7/315 - l**6/90 + l**5/45 + l**4/36 - l**3/9 - 9*l**2. Suppose i(u) = 0. Calculate u.
-1, 1
Let r be -1 + 6/(120/35). Determine p so that 0*p - 3/4 + r*p**2 = 0.
-1, 1
Let o(k) = k + 10. Let u be o(-7). Let i be 26/36 + u/(-6). What is f in -i*f + 4/9*f**2 - 2/9*f**3 + 0 = 0?
0, 1
Let h(p) be the third derivative of 0 + 1/12*p**4 - 3*p**2 + 0*p + 1/60*p**6 + 0*p**3 - 1/15*p**5. Factor h(g).
2*g*(g - 1)**2
Let u(f) = f + 9. Let d be u(-8). Let x be (-2 - d) + (-104)/(-24). Factor -6*v**3 - 14/3*v**4 - 10/3*v**2 + 0 - x*v**5 - 2/3*v.
-2*v*(v + 1)**3*(2*v + 1)/3
Suppose -1 = -g + 5*p - 3, -3*g = 3*p + 6. Let i be g/(-8)*(-8)/(-6). Determine z so that 1/3*z + 1/3*z**2 - i - 1/3*z**3 = 0.
-1, 1
Let n(q) be the second derivative of -q**7/126 - q**6/45 + q**5/60 + q**4/18 - 19*q. Let n(v) = 0. What is v?
-2, -1, 0, 1
Let n(u) be the third derivative of -1/6*u**3 - 4*u**2 + 0*u + 1/16*u**4 - 1/120*u**5 + 0. Factor n(c).
-(c - 2)*(c - 1)/2
Let a(i) be the first derivative of i**8/1008 + 2*i**7/315 + i**6/90 + i**2 + 3. Let d(u) be the second derivative of a(u). Solve d(v) = 0 for v.
-2, 0
Let l(h) = -9*h**2 - 3*h. Let k(p) be the second derivative of 2*p**4/3 + 2*p**3/3 + 6*p. Let o(t) = -5*k(t) - 4*l(t). Determine a, given that o(a) = 0.
-2, 0
Let h be (4 - (-261)/(-72))*8*1. Factor w**2 + 0 - 1/2*w - 1/2*w**h.
-w*(w - 1)**2/2
Let h(p) = 6*p**3 - 2*p. Let n = 7 + -10. Let o(z) = 5*z**3 - z**2 - z. Let u(f) = n*h(f) + 4*o(f). Factor u(v).
2*v*(v - 1)**2
Let x be 1 + (-290)/165 - (-40)/24. Factor -2/11*p - 8/11*p**3 + x*p**2 + 0.
-2*p*(p - 1)*(4*p - 1)/11
Let v(i) be the third derivative of i**6/540 - i**5/180 + 5*i**3/6 - 2*i**2. Let j(f) be the first derivative of v(f). Let j(n) = 0. What is n?
0, 1
Let h(z) = -10*z**2 - 2*z. Let d(k) = -k - 5. Let y be d(-6). Let t(m) = m**3 + m**2 + m. Let c = 1 + 3. Let j(x) = c*t(x) + y*h(x). Find r such that j(r) = 0.
0, 1/2, 1
Let d(j) be the first derivative of 35*j**4/12 + 65*j**3/9 + 5*j**2 - 27. Suppose d(o) = 0. What is o?
-1, -6/7, 0
Let s(v) = -255*v**2 + 385*v - 80. Let n(q) = -32*q**2 + 48*q - 10. Let p(t) = -25*n(t) + 3*s(t). Factor p(y).
5*(y - 1)*(7*y - 2)
Let o(j) be the second derivative of j**4/3 - 4*j**3/3 - 6*j**2 - 24*j. Factor o(a).
4*(a - 3)*(a + 1)
Let d = -7 + 12. Let s be (64/(-14) + 4)/(-2). Solve 4/7*y**2 - 2/7*y**4 + 2/7*y - 4/7*y**3 + s*y**d - 2/7 = 0.
-1, 1
Let h = 11 - 13. Let d(j) = j**2 + j - 4. Let w(v) = -4*v**2 - 4*v + 17. Let b(f) = h*w(f) - 9*d(f). Factor b(t).
-(t - 1)*(t + 2)
Let c = -6 + 10. Suppose -5*l - 15 = -0*l - 3*u, -c*u = -4*l - 20. Factor -2/7*j**3 + 0 + l*j - 2/7*j**5 + 0*j**2 - 4/7*j**4.
-2*j**3*(j + 1)**2/7
Let -1/7*t**3 + 1/7*t**5 + 1/7*t**4 + 0*t - 1/7*t**2 + 0 = 0. Calculate t.
-1, 0, 1
Suppose -6*w**2 - 4*w**3 + 3*w + 7*w**3 + 0*w**2 = 0. Calculate w.
0, 1
Let h = -539/5 - -109. Factor 2/5*s**3 + 6/5*s + 2/5 + h*s**2.
2*(s + 1)**3/5
Let t(g) = -2*g**4 + 6*g**3 - 22*g**2 + 14*g - 8. Let n(o) = 2*o**4 - 7*o**3 + 21*o**2 - 14*o + 7. Let d(l) = 4*n(l) + 3*t(l). Suppose d(v) = 0. What is v?
1, 2
Let p(m) be the first derivative of -m**3/15 - 2*m**2/5 - 3*m/5 - 25. Factor p(z).
-(z + 1)*(z + 3)/5
Let y(a) be the third derivative of 0*a**3 + 0*a**5 - 1/1176*a**8 + 0*a**7 + 1/210*a**6 - a**2 - 1/84*a**4 + 0 + 0*a. Find x, given that y(x) = 0.
-1, 0, 1
Let b(t) be the second derivative of -2/9*t**3 + t - 1/30*t**5 - 1/6*t**4 + 0*t**2 + 0. Factor b(i).
-2*i*(i + 1)*(i + 2)/3
Let q = -6 + 9. Let j(l) = -l**2 + 4*l + 4. Let f be j(4). Factor k**5 - 4*k**4 + 6*k**q - 2*k**2 - 2*k**f + k**5.
2*k**2*(k - 1)**3
Let v(o) = -o**3 + 8*o**2 - o + 10. Let b be v(8). Suppose 3*x - 2 = b*x + j, 5*x - 12 = 4*j. Solve 9/2*t**2 + 0*t**3 + t + 0 - 6*t**5 - 19/2*t**x = 0 for t.
-1, -1/4, 0, 2/3
Suppose -4*d + 5*r - 2*r = -8, -5*d = 3*r + 17. Let x be (3/9)/(d/(-6)). Solve 0*u**2 + u**2 + u**2 + u**x - 3 = 0.
-1, 1
Suppose 0 = -3*q + 3*x + 15, -2*x - 14 + 4 = 2*q. Factor q*o + 0 + 0*o**2 + 0*o**4 + 2/3*o**5 - 2/3*o**3.
2*o**3*(o - 1)*(o + 1)/3
Let t be 5*(1 + 0) - 2. Let u = -53/3 - -18. Find s, given that -1/3*s**t - s - s**2 - u = 0.
-1
Let v(p) be the second derivative of p**7/630 + p**6/120 + p**5/90 + 2*p**2 + 10*p. Let s(m) be the first derivative of v(m). What is n in s(n) = 0?
-2, -1, 0
Let i(d) be the third derivative of -2*d**2 + 0 + 1/336*d**8 + 0*d - 1/60*d**6 + 1/30*d**5 - 1/6*d**3 - 1/210*d**7 + 1/24*d**4. Factor i(a).
(a - 1)**3*(a + 1)**2
Let o(x) = -x - 1. Let p(t) = 4*t**2 - 32*t + 12. Let q(r) = 8*o(r) - p(r). Find j such that q(j) = 0.
1, 5
Factor -1/7*u**2 + 0 + 4/7*u**3 + 0*u.
u**2*(4*u - 1)/7
Factor -1/3*g**2 + 1/3*g**4 + 0 - 1/3*g**3 + 1/3*g.
g*(g - 1)**2*(g + 1)/3
Factor -2*b + 7*b**2 - 3*b**3 - 7*b**2 + 5*b.
-3*b*(b - 1)*(b + 1)
Let g(w) = 3*w - 1. Let l be g(1). Let y = 1/149 + 291/1043. Determine i, given that -4/7*i + y + 2/7*i**l = 0.
1
Let p(k) be the second derivative of 1/3*k**4 + 0*k**3 + 0 + 0*k**2 - k - 3/10*k**5. Find s such that p(s) = 0.
0, 2/3
Let d(z) = -z**3 + 63*z**2 - 61*z - 62. Let k be d(62). Solve -2/3*f - 2/3*f**2 + k = 0.
-1, 0
Let a(j) be the third derivative of j**6/780 - j**5/390 + 9*j**2. Factor a(m).
2*m**2*(m - 1)/13
Let g(v) = -2*v**3 + 22*v**2 + 58*v + 50. Let p(k) = -3*k**3 + 23*k**2 + 59*k + 49. Let n(d) = -5*g(d) + 4*p(d). Find f, given that n(f) = 0.
-3
Let h = 251 - 15059/60. Let q(c) be the third derivative of -2/3*c**3 + 0 - 1/6*c**4 + 0*c - h*c**5 - 2*c**2. Factor q(s).
-(s + 2)**2
Suppose -3*o = 3*h, -3*h - 4*o + 24 = -9*o. Solve 2*s**3 + s**2 + 0*s**2 - 3*s**h = 0.
0, 1
Let z be (-39)/26 + ((-11)/(-2) - 2). Let l(w) be the second derivative of -1/30*w**3 + 1/60*w**4 - 1/5*w**z + 0 - 2*w. Factor l(f).
(f - 2)*(f + 1)/5
Factor 5/2*p**2 - 5/3*p - 5/6*p**3 + 0.
-5*p*(p - 2)*(p - 1)/6
Let a(f) be the second derivative of -5*f**7/42 - 5*f**6/6 - 7*f**5/4 - 5*f**4/4 - 19*f. Factor a(r).
-5*r**2*(r + 1)**2*(r + 3)
Factor -4*o - 4 + 12*o**2 + 4*o**3 - 13*o**2 + 5*o**2.
4*(o - 1)*(o + 1)**2
Suppose -6 + 0 = p + 3*b, -b = 2. What is x in x**4 - x**2 + 1/4*x**5 - x + 3/4*x**3 + p = 0?
-2, -1, 0, 1
Let v(b) = b + 18. Let l be v(-18). Solve 0*c + l + 2/9*c**4 - 2/9*c**2 + 0*c**3 = 0.
-1, 0, 1
Let n(k) be the first derivative of 10 + 0*k + 0*k**3 + 1/40*k**5 + 0*k**2 + 1/16*k**4. Factor n(c).
c**3*(c + 2)/8
Let q(h) be the third derivative of h**7/1890 + h**6/216 + h**5/90 - h**4/54 - 4*h**3/27 - 8*h**2. Determine j so that q(j) = 0.
-2, 1
Let z(v) = v + 10. Let g be z(-10). Suppose d + 2 + 18*d**2 + 10*d + d + 8*d**3 + g*d**3 = 0. Calculate d.
-1, -1/4
Let 0 + a**2 + 0*a + 2/3*a**3 - 1/3*a**4 = 0. Calculate a.
-1, 0, 3
Suppose -3*r + 18 = -0. Factor 2 + 6*z - 2*z**2 - r*z.
-2*(z - 1)*(z + 1)
Let n be 0 + 0 - (-4)/10. Let -n*q**5 + 0*q**2 - 2/5*q**3 + 0*q - 4/5*q**4 + 0 = 0. Calculate q.
-1, 0
Let q = 1 + 2. Suppose 7*h = q*h + 8. Let 5 - 3 - b**h - b**2 = 0. Calculate b.
-1, 1
Let i(g) be the third derivative of -1/180*g**6 + 0*g**3 + 1/18*g**4 - g**2 + 0*g + 1/90*g**5 + 0. What is x in i(x) = 0?
-1, 0, 2
Let g(o) be the second derivative of 15/4*o**4 + 0 + 11/2*o**3 + 3*o**2 - 3*o. Factor g(t).
3*(3*t + 1)*(5*t + 2)
Let x = 25 + -20. Let r(v) be the second derivative of 0 + 1/10*v**x + 2/3*v**3 + 1/2*v**4 + 0*v**2 + v. Solve r(l) = 0 for l.
-2, -1, 0
Let l = -51 + 55. Factor -2/7*n**5 + 4/7*n**2 - 2/7*n**l - 2/7*n + 4/7*n**3 - 2/7.
-2*(n - 1)**2*(n + 1)**3/7
Let t(x) be the second derivative of -x**6/10 + 9*x**5/20 - x**4/2 - 2*x + 4. Let t(b) = 0. Calculate b.
0, 1, 2
Let a(f) be the third derivative of f**7/42 + f**6/12 - f**5/4 - 23*f**2. Determine c so that a(c) = 0.
-3, 0, 1
Let w be 3*(-1)/(-48) + 0. Let m(l) be the first derivative of w*l**4 - 1/20*l**5 + 1/12*l**3 + 0*l**2 - 1/24*l**6 + 0*l - 1. Suppose m(g) = 0. Calculate g.
-1, 0, 1
Suppose -d + 12 = 4*d - 2*o, 5*d - 7 = -3*o. Suppose -4*y + 4 = -0. Factor -3*m**2 + 2*m**d + 0*m + 0*m + y.
-(m - 1)*(m + 1)
Let i = -10/43 + 63/86. Factor 0 - 1/4*g**2 - i*g.
-g*(g + 2)/4
Determine f, given that -1/2*f**4 - f**2 - 3/2*f**3 + 0*f + 0 = 0.
-2, -1, 0
Let x(n) be the third derivative of -n**5/36 - 3*n**4/8 - 5*n**3/9 + 12*n**2. Factor x(q).
-(q + 5)*(5*q + 2)/3
Let f(k) be the third derivative of