*f + 3. Suppose -6*g**2 + 3*g**2 - 2*g + g**a = 0. What is g?
-1, 0
Determine z so that -6/5*z**3 - 14/5*z**2 - 2/5 - 2*z = 0.
-1, -1/3
Let q(s) be the second derivative of -s**6/360 - s**5/30 - s**4/6 + s**3/6 + 3*s. Let l(j) be the second derivative of q(j). Factor l(h).
-(h + 2)**2
Let r = 50 - 50. Let b(x) be the second derivative of -3*x + 1/20*x**4 - 3/10*x**2 + r*x**3 + 0. Factor b(y).
3*(y - 1)*(y + 1)/5
Let z = -493343/33 - -14951. Let y = -6/11 + z. Let -y*i**4 + 0*i + 0 - 4/3*i**3 - 2/3*i**2 = 0. What is i?
-1, 0
Let m(r) be the second derivative of -r**8/13440 + r**6/1440 + r**4/6 + r. Let u(a) be the third derivative of m(a). Factor u(z).
-z*(z - 1)*(z + 1)/2
Let -125/3 + 1/3*n**4 + 50/3*n + 20*n**2 + 14/3*n**3 = 0. What is n?
-5, 1
Suppose -4*r + 3*t + 24 = 0, 0 = -5*r - 2*t + 3 + 4. Factor 0*z**3 + 4*z**2 + z**3 - r*z**2.
z**2*(z + 1)
Suppose 4*w = -2*r - 2, -3*w - 2*r - 3 = 1. Let t(a) = -a**2 + 4*a - 2. Let c be t(w). What is x in -1/4*x**c - 1/4*x**3 + 0 + 1/4*x**5 + 1/4*x**4 + 0*x = 0?
-1, 0, 1
Find p such that 60*p**4 + 729 + 805*p**2 - 165*p**3 + 5*p**2 - 1215*p - 3*p**5 - 15*p**4 - 105*p**3 = 0.
3
Let b(i) = -i**2 - 4*i - 3. Let j(l) = -l - 1. Let w(z) = -b(z) + 3*j(z). Factor w(t).
t*(t + 1)
Let o(u) be the second derivative of 0*u**5 - 5*u - 1/3*u**3 - 1/4*u**4 + 0 + 0*u**2 + 1/30*u**6. Factor o(g).
g*(g - 2)*(g + 1)**2
Suppose -5 + 1 = -2*w. Solve -5*c**2 + c**4 - 3*c**2 - 2*c**3 + 9*c**w = 0.
0, 1
Let l(a) be the third derivative of -a**4/24 + a**3/2 + 10*a**2. Let c be l(1). Let -2/5*u**c + 2/5*u**3 + 0 + 0*u = 0. Calculate u.
0, 1
Suppose 15 = -2*b - b. Let t = 7 + b. Factor 2/11 + 2/11*p - 2/11*p**t - 2/11*p**3.
-2*(p - 1)*(p + 1)**2/11
Let o(s) be the third derivative of -s**8/560 - s**7/175 + s**5/50 + s**4/40 - 5*s**2 - 5*s. Factor o(p).
-3*p*(p - 1)*(p + 1)**3/5
Factor 4/7*s + 2/7 + 2/7*s**2.
2*(s + 1)**2/7
Let y(j) = -11*j**3 + 14*j**2 + 8*j + 8. Let z(i) = 7*i**3 - 9*i**2 - 5*i - 5. Let p(a) = -5*y(a) - 8*z(a). Factor p(b).
-b**2*(b - 2)
Let q(o) = o**2 + 3*o - 2*o**2 - 2*o**3 + o**3 - 3. Let u be q(-3). Suppose j**3 - u*j**3 + j**5 + j + 3*j**3 = 0. What is j?
-1, 0, 1
Let b be ((3 - 2)/1)/1. Let x(l) = 2*l**2 - l - 1. Let r be x(b). Factor 1/2*w**3 + r + 0*w**2 - 1/2*w.
w*(w - 1)*(w + 1)/2
Let k(w) = -2*w**5 - 3*w**4 + 2*w**3 - 23*w**2 - 13*w. Let s(r) = r**5 + r**4 - r**3 + 11*r**2 + 6*r. Let y(m) = -6*k(m) - 13*s(m). Suppose y(d) = 0. What is d?
-1, 0, 1, 5
Let s(z) be the second derivative of -z**5/4 - 10*z**4/3 - 40*z**3/3 + z + 7. Solve s(u) = 0 for u.
-4, 0
Solve 3/2*l + 0*l**2 - 3/4*l**4 + 3/4 - 3/2*l**3 = 0 for l.
-1, 1
Let o(j) be the third derivative of -j**8/1848 - j**7/1155 + j**6/660 + j**5/330 - j**2. Find i such that o(i) = 0.
-1, 0, 1
Let x(l) be the third derivative of 0*l + 0 + 3*l**2 - 1/180*l**5 + 1/18*l**3 + 0*l**4. Suppose x(p) = 0. What is p?
-1, 1
Suppose 0*o = -4*o + 8. Determine c so that 87*c + 20*c**2 + 73*c**o + 33*c + 48 - 18*c**2 = 0.
-4/5
Let q(y) be the first derivative of y**8/840 - y**7/120 + y**6/40 - y**5/24 + y**4/24 + 5*y**3/3 + 5. Let l(u) be the third derivative of q(u). Solve l(p) = 0.
1/2, 1
Factor 1/6*o**2 + 0 + 1/2*o.
o*(o + 3)/6
Factor -2/11*q + 2/11*q**3 - 2/11*q**2 + 2/11.
2*(q - 1)**2*(q + 1)/11
Let a(r) be the third derivative of 5*r**2 + 0*r**4 - 1/30*r**3 + 0 + 1/300*r**5 + 0*r. Suppose a(t) = 0. What is t?
-1, 1
Let b be 1/(-5) + 681/5. Let v = -404/3 + b. Factor 4/3*a**3 - 2*a**2 - 1/3*a**4 + v*a - 1/3.
-(a - 1)**4/3
Let m(w) be the second derivative of 0*w**2 + 0*w**3 + 2*w - 1/6*w**4 + 0 - 1/10*w**5. Factor m(d).
-2*d**2*(d + 1)
Let i be 15/((-525)/14)*-5. Factor 3/4*f**i + 0 - 3/4*f**4 - 3/2*f**3 + 3/2*f.
-3*f*(f - 1)*(f + 1)*(f + 2)/4
Let c(g) be the first derivative of g**6/24 - g**5/10 + 13. Solve c(k) = 0.
0, 2
Let c(w) be the first derivative of w**6/40 - 3*w**5/20 + 3*w**4/8 - w**3/2 + 3*w**2/2 - 4. Let u(a) be the second derivative of c(a). Factor u(h).
3*(h - 1)**3
Let -7*j - 75 + 67 - 5*j - 4*j**2 = 0. Calculate j.
-2, -1
Let z(k) be the second derivative of 3/5*k**2 + 3*k + 0 - 1/20*k**4 + 1/10*k**3. Factor z(g).
-3*(g - 2)*(g + 1)/5
Let w = 0 + -9. Let f(o) = -8*o**3 + 5*o**2 + 13*o + 9. Let t(n) = 4*n**3 - 2*n**2 - 6*n - 4. Let v(b) = w*t(b) - 4*f(b). What is q in v(q) = 0?
-1, 0, 1/2
Factor l - 5*l + 3*l - l**2.
-l*(l + 1)
Let n = -5 - -7. What is f in -n*f - 5*f**3 + 17*f**2 + 4*f**3 - 15*f**2 + f = 0?
0, 1
Let a(b) = -b**2 + 4*b. Let v be a(3). Let r = -12 + 15. Factor 3 + z**r - 3*z - v - 2.
(z - 2)*(z + 1)**2
Let p(r) be the third derivative of 0 + 0*r - 1/90*r**5 + 2*r**2 + 0*r**3 - 1/36*r**4. Factor p(b).
-2*b*(b + 1)/3
Let p(g) be the third derivative of 1/60*g**5 - 1/210*g**7 + 0 - 1/336*g**8 + 2*g**2 + 1/120*g**6 + 0*g**4 + 0*g + 0*g**3. Determine a so that p(a) = 0.
-1, 0, 1
Suppose -21*b = -29*b. What is w in 1/7*w**4 + b - 3/7*w**5 + 0*w + 3/7*w**3 - 1/7*w**2 = 0?
-1, 0, 1/3, 1
Let f(t) be the first derivative of -5*t**4/12 - t**3/3 + 2*t**2 - 4*t/3 - 2. Suppose f(o) = 0. Calculate o.
-2, 2/5, 1
Let m(u) be the first derivative of -u**3/6 - u**2 - 2*u - 33. Factor m(r).
-(r + 2)**2/2
Suppose -u - 1 = -6. Let 5*h**2 - 2 + 2*h + 2*h**u + 0*h**4 - 4*h**3 - 2*h**4 + 2*h**2 - 3*h**2 = 0. Calculate h.
-1, 1
Let s(o) be the first derivative of o**6/60 + 3*o**5/200 - o**4/10 + o**3/15 - 6*o - 2. Let w(p) be the first derivative of s(p). Factor w(x).
x*(x - 1)*(x + 2)*(5*x - 2)/10
Let s(c) = -c**3 + c**2 + c + 1. Let b(x) = 14*x**3 - 5*x - 11. Let p(m) = -4*b(m) - 44*s(m). Factor p(q).
-4*q*(q + 3)*(3*q + 2)
Find j, given that 3*j**4 + 22*j**4 + 162*j**2 - 66*j**3 - 12*j**4 + 81 - 189*j - j**5 = 0.
1, 3
Let l = 20 - 2. Factor 12*k - 2*k**2 + l + 3*k**2 + k**2.
2*(k + 3)**2
Let s be ((0 + -1)*1)/(-1). Let v(f) be the first derivative of 2/21*f**3 - 2/7*f + 0*f**2 - s. Solve v(z) = 0 for z.
-1, 1
Let o(r) = -r**2 - r - 1. Let h(u) = 8*u**2 + 10*u + 9. Let v(g) = -3*h(g) - 21*o(g). Let v(k) = 0. What is k?
-2, -1
Let h(d) = 6*d**2 + 6*d. Let a(x) = -7*x**2 - 7*x. Let m(y) = -4*a(y) - 5*h(y). Determine c, given that m(c) = 0.
-1, 0
Factor 13*m - 5*m - 2*m - 22*m + 2*m**2.
2*m*(m - 8)
Let y = 1/23 + 41/115. Let s(v) be the first derivative of 0*v + 1/2*v**4 + y*v**5 - v**2 + 2 - 2/3*v**3. Factor s(l).
2*l*(l - 1)*(l + 1)**2
Let u = -717 + 4303/6. Determine z so that 1/6*z**2 + 0 - 1/6*z**3 - u*z**4 + 1/6*z = 0.
-1, 0, 1
Let d(y) be the third derivative of -2*y**2 + 0 - 1/60*y**5 + 1/180*y**6 - 1/6*y**3 + 0*y + 0*y**4. Let c(r) be the first derivative of d(r). Factor c(z).
2*z*(z - 1)
Let z be (-2)/(-8)*3/90. Let u(v) be the third derivative of v**2 - z*v**4 + 0*v + 1/300*v**5 + 0*v**3 - 1/1050*v**7 + 1/600*v**6 + 0. Factor u(i).
-i*(i - 1)**2*(i + 1)/5
Let w(b) = 4*b + 3 + 0*b**2 - b**2 + b**3 + 6*b**2. Let r be w(-4). Determine k, given that k**4 - 3*k + 0*k**4 + 2*k + k**2 + 2*k**2 - 3*k**r = 0.
0, 1
Let u(n) = 5*n**3 + n**2 - n + 1. Let v be u(1). Let -2 - 2*w**2 - 8*w - v + 0*w = 0. What is w?
-2
Factor 1/2*g + 1/2*g**2 - 1.
(g - 1)*(g + 2)/2
Let q(s) be the first derivative of 0*s**3 + 0*s - 2 + 0*s**4 - s**2 + 1/30*s**5. Let v(l) be the second derivative of q(l). Let v(k) = 0. What is k?
0
Let s(o) be the first derivative of -2/25*o**5 + 2/5*o**2 + 2/15*o**3 - 2 + 0*o - 1/5*o**4. Factor s(p).
-2*p*(p - 1)*(p + 1)*(p + 2)/5
Suppose 0 - 30 = -3*f. Suppose j + f = 6*j. Factor x**5 - x - 6*x**3 + j*x**5 + 4*x.
3*x*(x - 1)**2*(x + 1)**2
Let -75*u**2 + 245*u**2 - 45*u**3 - 140*u + 19 - 59 = 0. What is u?
-2/9, 2
Factor 0*w**2 + 0 + 2/7*w - 2/7*w**3.
-2*w*(w - 1)*(w + 1)/7
Factor -2/11*r**3 + 2/11*r**4 + 10/11*r - 4/11 - 6/11*r**2.
2*(r - 1)**3*(r + 2)/11
Let c = 30 - 15. Suppose -12 = x - 4*m, -4*m = m - c. Solve 0*y + 2*y**4 + 2/3*y**5 + x + 2/3*y**2 + 2*y**3 = 0 for y.
-1, 0
Let h = -14015/48 - -292. Let b(f) be the second derivative of 1/4*f**2 + 0 - 1/24*f**3 + f - h*f**4. Find k such that b(k) = 0.
-2, 1
Let z(v) = -7*v**2 + 2*v. Let k(f) be the first derivative of -22*f**3/3 + 3*f**2 + 1. Let r(d) = -5*k(d) + 16*z(d). Factor r(c).
-2*c*(c - 1)
Let d(s) be the first derivative of -3*s**5/40 + s**4/3 - 7*s**3/12 + s**2/2 - 5*s - 3. Let a(p) be the first derivative of d(p). Let a(m) = 0. Calculate m.
2/3, 1
Let f be 0 + 2 + 1 - -4. 