1/3*f**2 + 1 - p*f**3 + 5/3*f = 0?
-1, 3
Let m = -8 + -4. Let z be m/(-42) - 0/1. Solve -6/7*b**4 - z*b**2 + 10/7*b**3 + 0 - 2/7*b = 0 for b.
-1/3, 0, 1
Suppose 5*i = 45 - 15. Let -3*d**3 - d**3 - 12*d**2 - 2*d**3 + i*d**5 - 3 + 6 + 9*d**4 = 0. What is d?
-1, 1/2, 1
Suppose 8*y - 3*y - 30 = 0. Suppose 3*i - 3*r = 9, -y*i = -i + 3*r - 23. Solve -z**3 + 0*z**i + 0*z**4 - 2*z**4 = 0 for z.
-1/2, 0
Let z = 5 - 1. Let p be 9 + (-1 - -2)*-2. Let 7*n**z + n**3 - n**5 - p*n**4 = 0. What is n?
-1, 0, 1
Let o(y) be the first derivative of 2*y**4/7 + 4*y**3/3 + 16*y**2/7 + 12*y/7 + 37. Factor o(m).
4*(m + 1)**2*(2*m + 3)/7
Solve -5/2*w**3 - 7/2*w - 1 - 9/2*w**2 - 1/2*w**4 = 0 for w.
-2, -1
Let u(v) be the first derivative of 2*v**5/5 - 3*v**4 + 8*v**3 - 8*v**2 + 4. Let u(n) = 0. What is n?
0, 2
Let y(z) be the third derivative of -z**7/1365 + z**6/390 + 2*z**5/195 - 2*z**4/39 - 19*z**2. Let y(d) = 0. Calculate d.
-2, 0, 2
Let f(v) be the third derivative of v**8/4200 + v**7/2100 - v**6/900 - v**5/300 - v**3/3 + v**2. Let c(d) be the first derivative of f(d). Factor c(w).
2*w*(w - 1)*(w + 1)**2/5
Let y(p) = 15*p**3 + 30*p**2 + 15*p - 20. Let s(h) = h**3 - h**2 + h - 1. Let z(b) = 5*s(b) - y(b). Solve z(v) = 0 for v.
-3, -1, 1/2
Let p be (108/270)/((-7)/(-15)). Suppose -2/7*x**4 - p*x**3 + 4/7*x + 2/7*x**2 + 2/7*x**5 + 0 = 0. What is x?
-1, 0, 1, 2
Solve 2/15*g**3 - 4/15 - 2/5*g + 0*g**2 = 0 for g.
-1, 2
Let f(x) = -x**3 - 12*x**2 + x + 14. Let b be f(-12). What is r in -r**4 + 2*r**4 - r**b + 3*r**3 - r - 2*r**5 + 0*r = 0?
-1, -1/2, 0, 1
Let d(n) be the third derivative of -n**8/336 - n**7/210 + n**6/40 + n**5/12 + n**4/12 - 21*n**2. Factor d(t).
-t*(t - 2)*(t + 1)**3
Let j be (-7 + 9)*-1*10/(-4). Factor 0 + 10/3*a**4 + 14/3*a**2 - 6*a**3 - 4/3*a - 2/3*a**j.
-2*a*(a - 2)*(a - 1)**3/3
Let i = -1/3 - -2/3. Let p be 4/(-26) + 672/819. Factor p*j + 0 - i*j**2.
-j*(j - 2)/3
Let v(b) be the third derivative of -b**6/80 - b**5/20 - b**4/16 - 3*b**2. Factor v(t).
-3*t*(t + 1)**2/2
Let p be 0 - (0 + (-14)/48). Let h(j) be the second derivative of 0 + 0*j**2 - p*j**4 + 2*j + 1/6*j**3. Factor h(r).
-r*(7*r - 2)/2
Let r(h) = 3*h - 17. Let c be r(7). Let x(v) be the second derivative of -2*v + v**2 - 5/6*v**c + 0 - 4/3*v**3. Determine f so that x(f) = 0.
-1, 1/5
Let m(j) be the first derivative of j**4/2 + 2*j**3/3 - 2*j**2 + 14. Factor m(h).
2*h*(h - 1)*(h + 2)
Suppose 2*l - 28 = -5*x, -3*l + 0*x + 4 = -2*x. Factor -16*i**2 + 4*i**3 - 3*i**l - 16*i**3 - 3 - 12*i - 2*i**2.
-3*(i + 1)**4
Let d be (-7)/(-21) - (-78)/9. Suppose 3*y - d = -0*y. Suppose -2/3*s**y + 4/3 + 10/3*s + 2*s**2 - 2/3*s**4 = 0. What is s?
-1, 2
Let v(j) be the first derivative of 54*j**5/5 - 12*j**3 + 8*j**2 - 2*j + 3. Factor v(g).
2*(g + 1)*(3*g - 1)**3
Let z(u) = -8*u**4 + 8*u**2 - 10*u + 10. Let s(j) = 9*j - 4*j - 1 - j**2 + j**4 - 4*j + 0. Let v(n) = -10*s(n) - z(n). Factor v(g).
-2*g**2*(g - 1)*(g + 1)
Let c(j) = j**3 + 13*j**2 + 3. Let k be c(-13). Let r(u) be the first derivative of 4/5*u**2 - 1 + 8/5*u + 2/15*u**k. Suppose r(p) = 0. What is p?
-2
Let z(i) be the first derivative of -i**4/8 - 2*i**3/3 + 11*i**2/4 - 3*i - 50. Find o, given that z(o) = 0.
-6, 1
Let u(t) be the third derivative of -t**7/30 - 3*t**6/40 + 9*t**5/10 + 25*t**4/6 + 4*t**3 + 10*t**2. Factor u(r).
-(r - 3)*(r + 2)**2*(7*r + 2)
Let c(k) = 19*k**3 + 5*k**2 - 24. Let r(p) = 3*p**3 + p**2 - 4. Let h(n) = 6*c(n) - 39*r(n). Factor h(i).
-3*(i - 1)*(i + 2)**2
Let o = 100 + -298/3. Factor -1/3*q**2 - o + q.
-(q - 2)*(q - 1)/3
Let k be 1*((-50 - 0) + -2). Let a = -154/3 - k. Let 1/3*n + a - 2/3*n**2 - 1/3*n**3 = 0. What is n?
-2, -1, 1
Find l such that -6*l**5 + 6*l**4 - 14*l**3 + 4*l**2 + 10*l**4 - 26*l + 26*l = 0.
0, 2/3, 1
Let l be 8*(3/6 + -1). Let w = l + 6. Solve w*j + 2*j + 5*j**2 - 2*j**2 - j = 0.
-1, 0
Factor t**3 + t**2 + 1/2 - 7/4*t.
(t + 2)*(2*t - 1)**2/4
Let q(u) = -9*u**2 + 27*u + 36. Let k(p) = 100*p**2 - 295*p - 395. Let z(r) = 4*k(r) + 45*q(r). Suppose z(j) = 0. Calculate j.
-1, 8
Let z(n) be the third derivative of n**5/140 - 5*n**4/28 + 25*n**3/14 + 6*n**2. Factor z(r).
3*(r - 5)**2/7
Let b(z) be the first derivative of -3*z**5/5 + 5*z**4/4 + 2*z**3/3 - 5. Let b(w) = 0. What is w?
-1/3, 0, 2
Let v(k) be the second derivative of 4*k + 0 + 0*k**3 - 1/66*k**4 + 0*k**2. Factor v(o).
-2*o**2/11
Let a(t) be the first derivative of -7*t**4/12 - 11*t**3/9 - t**2/6 + t - 21. Find j such that a(j) = 0.
-1, 3/7
Let c(h) = -h**2 - h - 4. Let p(r) be the second derivative of 4*r**2 + 1/2*r**3 + 3*r + 0 + 1/6*r**4. Let o(q) = 5*c(q) + 3*p(q). Factor o(b).
(b + 2)**2
Let b(u) be the first derivative of -u**8/84 + 4*u**7/105 - u**6/30 + 3*u**2 + 7. Let r(f) be the second derivative of b(f). Factor r(a).
-4*a**3*(a - 1)**2
Suppose p - h + 15 = 6*p, 2*p + 7 = -3*h. Factor -2*z**2 + z**4 - 2*z**p + 3*z**4.
2*z**2*(z - 1)*(z + 1)
Let k(b) = -10*b**5 + 50*b**4 - 30*b**3 - 2*b**2 + 10*b. Let n(h) = -31*h**5 + 149*h**4 - 91*h**3 - 5*h**2 + 29*h. Let o(r) = 17*k(r) - 6*n(r). Factor o(c).
4*c*(c - 1)**3*(4*c + 1)
Let z(k) be the third derivative of k**7/4620 + k**6/660 + k**5/220 + k**4/132 + k**3 + 2*k**2. Let s(h) be the first derivative of z(h). Factor s(w).
2*(w + 1)**3/11
Let n(y) = y - 4. Let x be n(8). Factor -3 - 3*m**3 + 6*m**2 - x*m**2 - 11*m**2 - 9*m.
-3*(m + 1)**3
Let t(u) be the first derivative of 0*u**2 + 2/3*u**4 + 2/9*u**3 - 6 + 0*u. Let t(l) = 0. What is l?
-1/4, 0
Let o(b) be the first derivative of -b**7/42 + 3*b**5/20 + b**4/6 - 3*b + 1. Let g(f) be the first derivative of o(f). Solve g(q) = 0.
-1, 0, 2
Let t(h) be the second derivative of h**7/42 + h**6/30 - h**5/4 + h**4/4 - h + 23. Factor t(c).
c**2*(c - 1)**2*(c + 3)
Solve 0*o + 2/9*o**4 + 0*o**3 - 4/9*o**2 + 2/9 = 0.
-1, 1
Let x(b) be the first derivative of -1 + 0*b**3 + 1/4*b**2 - 1/3*b - 1/24*b**4. Factor x(u).
-(u - 1)**2*(u + 2)/6
Factor 36/7*h - 20/7*h**3 - 12/7*h**2 + 0 - 4/7*h**4.
-4*h*(h - 1)*(h + 3)**2/7
Suppose -16 - 4 = -5*u. Let j(d) be the first derivative of -4/45*d**5 - 4/9*d + 7/9*d**u + 8/27*d**3 - 7/9*d**2 - 7/27*d**6 + 2. Suppose j(c) = 0. What is c?
-1, -2/7, 1
Let z(l) = -l**3 - 9*l**2 + 24*l - 16. Let b(u) = -2*u**3 - 28*u**2 + 72*u - 48. Suppose 3*h + 0 + 9 = 0. Let k(m) = h*b(m) + 8*z(m). Factor k(f).
-2*(f - 2)**3
Let l(x) be the first derivative of 0*x**3 + 1/12*x**4 - 1/6*x**2 + 0*x + 4. Factor l(m).
m*(m - 1)*(m + 1)/3
Let q(i) be the first derivative of -i**6/40 + i**5/8 + i**4/4 + i**3/3 + 3. Let n(b) be the third derivative of q(b). Factor n(u).
-3*(u - 2)*(3*u + 1)
Suppose -5 - 1 = 3*x - 3*v, -v = 3*x - 10. Let d = 0 + x. Determine w so that d*w**2 + w**3 - w**3 - 2*w**4 = 0.
-1, 0, 1
Suppose -2*s + 17 = -5. Let y(g) = 2*g**3 - 21*g**2 - 11*g + 4. Let r be y(s). Let -2/5*b**5 + 0*b**2 + 0*b - 2/5*b**r + 0*b**3 + 0 = 0. What is b?
-1, 0
Let a = 10 - 5. Determine c, given that -4*c**2 + 16*c**3 - 2*c**a + 2*c - 16*c**3 + 4*c**4 = 0.
-1, 0, 1
Let v(w) = 3*w**2 - 12*w**2 + 1 + 3*w + 3 + 3. Let u(j) = 4*j**2 - j - 3. Let i(h) = 7*u(h) + 3*v(h). Find d such that i(d) = 0.
-2, 0
Factor 0*s - 2/3*s**4 + 0*s**3 - 2/3 + 4/3*s**2.
-2*(s - 1)**2*(s + 1)**2/3
Suppose -3*a + 2*c + 3*c = -27, -a = 4*c - 9. Suppose -3*o + a = -4*t, 3*t + 15 = t + 5*o. Suppose t*d - 1/2*d**2 + 1/4*d**3 + 0 = 0. What is d?
0, 2
Let o(k) be the second derivative of -4*k - 1/5*k**5 + 0*k**2 - 1/15*k**6 + 1/6*k**4 + 0 + 2/3*k**3. Determine v so that o(v) = 0.
-2, -1, 0, 1
Let q(b) be the third derivative of b**8/84 + 4*b**7/315 - 7*b**6/90 + 2*b**5/45 + 17*b**2. Suppose q(u) = 0. Calculate u.
-2, 0, 1/3, 1
Let n(w) be the first derivative of 1/6*w**3 - 6 + 1/8*w**4 + 0*w**2 + 0*w. Factor n(z).
z**2*(z + 1)/2
Let z(l) be the third derivative of -l**7/70 - l**6/18 + 8*l**5/45 + 10*l**4/9 + 8*l**3/9 + 3*l**2. Let z(o) = 0. What is o?
-2, -2/9, 2
Let r = -209/9 + 1333/45. What is y in 4/5 + 2/5*y**5 + 12/5*y**4 + r*y**2 + 28/5*y**3 + 18/5*y = 0?
-2, -1
Let d = 15 - 14. Let v(k) be the first derivative of 9/8*k**4 - 1/4*k - d + 1/4*k**3 - 1/2*k**2. Determine h so that v(h) = 0.
-1/3, 1/2
Let x = -36 - -41. Let v be ((-44)/(-66))/(x/3). Let 1/5*f**3 + 0 - 1/5*f**5 + 0*f - v*f**4 + 2/5*f**2 = 0. Calculate f.
-2, -1, 0, 1
Let v(t) be the third derivative of t**5/15