et o(v) = -v**2 - 11*v - 23. Let s be o(-7). Let g(p) be the second derivative of 0*p**4 + 0*p**2 + s*p + 1/3*p**3 - 1/10*p**5 + 0. Factor g(u).
-2*u*(u - 1)*(u + 1)
Let n(r) be the third derivative of -r**6/1020 - r**5/102 - 7*r**4/204 - r**3/17 - 16*r**2. Factor n(h).
-2*(h + 1)**2*(h + 3)/17
Factor 23/2*r**3 + 13/2*r**2 - 7/2*r + 0 + 3/2*r**4.
r*(r + 1)*(r + 7)*(3*r - 1)/2
Let n(d) be the third derivative of -d**7/210 + d**6/20 + 11*d**5/60 - 5*d**4/2 - 50*d**3/3 + d**2 + 42. Suppose n(z) = 0. What is z?
-2, 5
Suppose 0 = 2*q + 3*y - 1, -q - 3*y = -7*y - 6. Find t such that 4*t**2 - q*t**4 + 8*t**5 + 10*t**3 - 11*t**3 + 8*t - 15*t**3 - 2 = 0.
-1, 1/4, 1
Suppose -4*y - 4 = 0, -2*y - 11 + 9 = 3*g. Let h(c) be the first derivative of -4/5*c**5 + 0*c**4 + 0*c - 7 + 4/3*c**3 + g*c**2. Suppose h(w) = 0. What is w?
-1, 0, 1
Let n = 53 - 86. Let d = n - -33. Determine f, given that 3/2*f**2 + f**3 + 1/2*f + d = 0.
-1, -1/2, 0
Let p(m) be the first derivative of m**5/10 + m**4/3 - m**3/3 - 2*m**2 + 14*m + 6. Let d(s) be the first derivative of p(s). Factor d(w).
2*(w - 1)*(w + 1)*(w + 2)
Let r(i) = 11*i**3 + 67*i**2. Let p(b) = 130*b**3 + 805*b**2. Let x(c) = 3*p(c) - 35*r(c). Factor x(v).
5*v**2*(v + 14)
Let z(x) = -x**5 + 5*x**4 + 21*x**3 - 43*x**2 + 14*x. Let w(d) = -d**5 - d**4 + 2*d**2 + 2*d. Let t(a) = -2*w(a) - z(a). What is h in t(h) = 0?
-3, 0, 1, 2
Let x(g) = -3*g**2 - 10*g - 3. Suppose -2*j - 6 = 4*n, -n + 0*j + 6 = -j. Let m(p) = -p**2 - 1. Let f = 133 + -131. Let k(u) = f*m(u) + n*x(u). Factor k(v).
-5*(v + 1)**2
Let o(x) = x**2 + x - 12 + 6*x**2 - 6*x**2 + 10. Let j be o(1). Suppose 1/6*n**3 + 1/3*n**2 + j + 0*n = 0. Calculate n.
-2, 0
Let 2/5*f**3 + 462*f + 134/5*f**2 + 2178/5 = 0. Calculate f.
-33, -1
Suppose -5 = 5*h - 6*h. Find o such that 308*o**2 - 3*o + 5*o**4 - 308*o**2 + 10*o**3 - 7*o - h = 0.
-1, 1
Let o(b) be the third derivative of 2*b**5/15 + 11*b**4/6 + 25*b**3/6 - 33*b**2. Let h(n) = 3*n**2 + 15*n + 8. Let m(u) = -11*h(u) + 4*o(u). Factor m(t).
-(t - 12)*(t + 1)
Let d(h) = 4*h**3 - 2*h**2 + h - 1. Let g be d(1). Factor 0 - 8 + 0 - 12*k - 4*k**g + 0.
-4*(k + 1)*(k + 2)
Let r(h) = 3*h**3 + h**2 + h - 1. Let t be r(1). Find b such that -178*b + 164*b + 3*b**2 - b**2 + t + 8 = 0.
1, 6
Suppose -20 = -129*b + 124*b. Suppose 5*a + b*z = -z + 20, -z + 4 = 5*a. Let 2/7*c**3 + 0*c**2 + a - 2/7*c = 0. What is c?
-1, 0, 1
Factor 19/5*q - 1/5*q**3 + 8/5*q**2 + 2.
-(q - 10)*(q + 1)**2/5
Determine h, given that 3/4*h**2 + 0 + 1/4*h + 1/4*h**4 + 3/4*h**3 = 0.
-1, 0
Let m = 254/285 + 86/57. Solve -2*k - 4/5*k**2 + 2/5*k**3 + m = 0.
-2, 1, 3
Let x(y) be the first derivative of -y + 5/3*y**3 - 2*y**2 + 2. Let u(v) = 6*v**2 - 5*v - 1. Let o(d) = -4*u(d) + 5*x(d). Factor o(j).
(j - 1)*(j + 1)
Suppose -7 = -j - 2*x, j = -x - 3887 + 3892. Let w = 443/549 - -5/61. Factor -4/3*o**j + 8/9*o**4 + 0 - 2/9*o**5 - 2/9*o + w*o**2.
-2*o*(o - 1)**4/9
Let h = -30 - -185/6. Let l(u) be the second derivative of 11/30*u**5 + 2/3*u**2 - 6*u + u**3 + h*u**4 + 0 + 1/15*u**6. Suppose l(q) = 0. Calculate q.
-1, -2/3
Let v be (28/(-12))/7*-9. Suppose n**3 + n - 6*n**2 - 4*n**v - n = 0. What is n?
-2, 0
Let i(c) = -c**4 + 5*c**3 - 26*c**2 - 14*c. Let t be 7 + -1 + 1 + -1. Let r(x) = -x**4 - x**2 + x. Let y(u) = t*r(u) - i(u). Determine b, given that y(b) = 0.
-2, -1, 0, 2
Let z be -1 + (-35)/(35/(-5)). Let f(s) be the first derivative of 0*s**3 - 2/5*s - 1 - 2/5*s**2 + 1/5*s**z + 2/25*s**5. Factor f(i).
2*(i - 1)*(i + 1)**3/5
Factor -2/3*h**2 + 8 - 2/3*h.
-2*(h - 3)*(h + 4)/3
Let f = 29 - 27. Let k be (0 - 2) + f + 2. Factor 2/3 + 5/6*q**k - 1/6*q**3 - 4/3*q.
-(q - 2)**2*(q - 1)/6
Let z be 4/18 - (-720)/(-9072). Let 7 + 2*b + z*b**2 = 0. What is b?
-7
Solve 9 + 11*s - 5*s - 20*s - 3*s - 2*s**2 = 0.
-9, 1/2
Let s(n) be the third derivative of 0*n**4 - 13/40*n**6 + 0*n**3 + 13/35*n**7 - 3/10*n**5 + 0 - 1/16*n**8 + 13*n**2 + 0*n. Solve s(q) = 0 for q.
-2/7, 0, 1, 3
Let a(o) = -o**3 - 7*o**2 - 9*o - 3. Let k(h) be the first derivative of -h**4/2 - 8*h**3/3 - 5*h**2 - 4*h + 40. Let v(d) = 4*a(d) - 3*k(d). Factor v(n).
2*n*(n - 3)*(n + 1)
Let x(p) be the third derivative of 6*p**5/85 + 5*p**4/17 + 25*p**3/51 - 102*p**2. Factor x(y).
2*(6*y + 5)**2/17
Let v = 64 + -62. Solve 3*c**2 - c + v*c**2 - 6 - 4*c**2 = 0.
-2, 3
Let q(v) = v**3 - 563*v**2 - 3992*v - 14. Let n be q(-7). Factor 4/15*l**2 + n + 0*l - 2/15*l**3 - 2/15*l**4.
-2*l**2*(l - 1)*(l + 2)/15
Let g = 937 + -935. Factor 0*u + 0 - 8/9*u**4 - 4/9*u**g - 2/9*u**5 - 10/9*u**3.
-2*u**2*(u + 1)**2*(u + 2)/9
Let n(h) be the first derivative of -h**4/18 + 100*h**3/27 + h**2/9 - 100*h/9 - 14. Factor n(y).
-2*(y - 50)*(y - 1)*(y + 1)/9
Let a = -34 - -36. Suppose -3*m - r + 2 = -a*m, -3*m + r + 10 = 0. Factor 5*c**3 - 2*c - c + 2 - 4*c**m.
(c - 1)**2*(c + 2)
Let a(r) be the third derivative of 1/10*r**6 - 1/4*r**5 + 0*r**3 - r**2 + 1/8*r**4 + 0 + 0*r. Factor a(y).
3*y*(y - 1)*(4*y - 1)
Let z = 6927420961/120930 - 1661256/29. Let f = -1/278 - z. Factor f*i**2 - 2/5 - 4/15*i.
2*(i - 3)*(i + 1)/15
Factor 4/5 + 4/5*q**2 - 8/5*q.
4*(q - 1)**2/5
Let a(n) be the second derivative of -3/80*n**5 + 0*n**4 + 0*n**2 + 1/8*n**3 + 0 - 5*n. Determine k, given that a(k) = 0.
-1, 0, 1
Let z(d) = 3*d**4 + 26*d**3 - 33*d**2 - 4*d - 4. Let b(l) = 24*l**4 + 207*l**3 - 264*l**2 - 33*l - 33. Let n(w) = -4*b(w) + 33*z(w). Let n(i) = 0. What is i?
-11, 0, 1
Let y(x) = -4*x**5 + 2*x**2 + 2. Let v(s) = s**5 - s**2 - 1. Let q(b) = -4*v(b) - 2*y(b). Suppose q(t) = 0. Calculate t.
0
Let d(f) be the first derivative of -f**6/1440 + f**5/96 - f**4/24 - 19*f**3/3 - 27. Let b(j) be the third derivative of d(j). Determine g so that b(g) = 0.
1, 4
Let a(r) be the second derivative of -13*r + 0*r**2 + 0 - 5/18*r**3 + 1/36*r**4. Solve a(c) = 0 for c.
0, 5
Suppose 5*o = g - 38 - 53, 3*o + 15 = 0. Let p = 135/2 - g. Factor 5/4*c**3 - 19/4*c - 2*c**2 - p.
(c - 3)*(c + 1)*(5*c + 2)/4
Factor 3*r + 3*r**3 - r**4 + 124*r**2 - 2*r**3 - 119*r**2.
-r*(r - 3)*(r + 1)**2
Suppose 25*a + 125 = 20*a. Let x = a - -28. Suppose -r**x + 2*r**3 + 2*r**2 - r**2 - 2*r**2 = 0. What is r?
0, 1
Factor -1/7*g**3 - 6/7*g**2 + 19/7*g + 24/7.
-(g - 3)*(g + 1)*(g + 8)/7
Let b(k) = 3. Let p(r) = r**2 + 192*r + 9231. Let u(g) = 15*b(g) - 3*p(g). Factor u(v).
-3*(v + 96)**2
Factor -u - 2*u**3 + 6*u + 2*u - u + 4.
-2*(u - 2)*(u + 1)**2
Let u(i) be the third derivative of i**6/60 + i**5/21 - 11*i**4/84 - 2*i**3/7 - 77*i**2. Factor u(q).
2*(q - 1)*(q + 2)*(7*q + 3)/7
Let q = 24 - 22. Suppose -q*u + 8 = -0*u. Determine v, given that -22*v + 2*v - u*v**2 + 7*v + 5*v = 0.
-2, 0
Suppose -32*l + 33*l + 89*l = 0. Let y(f) be the third derivative of 0 + l*f**3 - 1/270*f**5 + 0*f + 0*f**4 - 1/1080*f**6 - 2*f**2. Find b, given that y(b) = 0.
-2, 0
Let y(a) be the second derivative of -a**5/10 - 2*a**4/3 + a**3/3 + 4*a**2 - 60*a. Suppose y(l) = 0. Calculate l.
-4, -1, 1
Let h(x) be the second derivative of x**7/42 + 4*x**6/15 + 3*x**5/5 - x**4/6 - 13*x**3/6 - 3*x**2 - 72*x. Factor h(t).
(t - 1)*(t + 1)**3*(t + 6)
Let v = 1281 + -152438/119. Let u = 5/17 - v. Factor 0*i - 2/7*i**3 + 2/7*i**5 + 0 - u*i**4 + 2/7*i**2.
2*i**2*(i - 1)**2*(i + 1)/7
Let n(s) be the third derivative of 7*s**6/480 + 5*s**5/48 + 13*s**4/48 + s**3/3 + 2*s**2 + 83. Factor n(i).
(i + 1)*(i + 2)*(7*i + 4)/4
Let h(p) = -5*p - 45. Let o be h(-9). Let i(s) be the second derivative of o*s**2 - 9/100*s**5 + 1/5*s**3 + 1/4*s**4 + 0 + 4*s. Factor i(u).
-3*u*(u - 2)*(3*u + 1)/5
Let w(j) be the first derivative of j**3 - 63*j**2/2 - 66*j - 425. Solve w(i) = 0.
-1, 22
Let c(y) = y**5 + y + 1. Let u(k) = -4*k**5 - 3*k**4 + 2*k**3 + 6*k**2 - 4*k - 6. Let w(g) = -3*c(g) - u(g). Factor w(z).
(z - 1)**2*(z + 1)**2*(z + 3)
Let n(f) = f**2 + f + 2. Let p be n(-2). Let j be 1 - 2 - (3 + -3 - p). Let -2/7*o + 2/7*o**j + 4/7*o**2 - 4/7 = 0. Calculate o.
-2, -1, 1
Let s(z) be the second derivative of -z**7/1120 + z**6/720 + z**3 - 10*z. Let d(v) be the second derivative of s(v). Let d(y) = 0. Calculate y.
0, 2/3
Factor 4/3*f**2 - 8/9*f - 4/9*f**3 + 0.
-4*f*(f - 2)*(f - 1)/9
Let f be 21/(-28) + 13/12. Let q be 23/8 + (-3)/(-24). Factor 1/3*p**q - f - p**2 + p.
(p - 1)**3/3
Let s = 13532/9387 + 3/1043. Factor -s*j**3 + 0 - 4/3*j**2 - 4/9*j - 2/3*j**4 - 