y + 0 - 26/9*y**4 + 10/3*y**p = 0.
0, 1/4, 1
Let j(q) = -2 + 5 - 2 - q**2. Let w(b) = b + 1. Suppose 4*k = k + 4*t + 6, 0 = 5*k + 4*t - 10. Let n(g) = k*w(g) - 2*j(g). Factor n(l).
2*l*(l + 1)
Let b = 13 + -14. Let d be 45/273 - b/7. Factor 6/13*n**2 + 2/13*n**3 + 0 + d*n.
2*n*(n + 1)*(n + 2)/13
Let l = -6/601 + 1231/63105. Let b(d) be the third derivative of 0*d**4 + 0*d + d**2 - 1/735*d**7 + 0 + l*d**5 + 0*d**6 - 1/21*d**3. Solve b(z) = 0.
-1, 1
Let c(g) be the first derivative of 1/5*g**3 + 0*g**2 - 3 - 3/10*g**4 + 3/25*g**5 + 0*g. Find d, given that c(d) = 0.
0, 1
Let z be -6 - -5 - (-1 + -2). Factor 1/4*x + 3/2*x**z - 1/4.
(2*x + 1)*(3*x - 1)/4
Let h = -3 - -8. Let s(a) be the first derivative of -1/2*a**4 - 3 + 0*a + 8/5*a**h - 8/3*a**3 + a**2. Solve s(z) = 0 for z.
-1, 0, 1/4, 1
Let x(u) be the first derivative of -u**6 - 10*u**5/3 + u**4 + 8*u**3 - 8*u**2/3 + 16. Find q such that x(q) = 0.
-2, 0, 2/9, 1
Let b(s) = s + 1. Let j(t) = 5*t**3 + 10*t + 35. Let h(a) = 25*b(a) - j(a). Factor h(y).
-5*(y - 1)**2*(y + 2)
Solve -3*y**2 + 4 + 2*y - 1/2*y**4 - 5/2*y**3 = 0.
-2, 1
Suppose -4*g - 25 = -3*u - 9*g, -3*u + 9 = -3*g. Find s such that -2*s**2 + 6*s**3 - 2*s**2 - u*s**3 + 2*s**2 + s = 0.
0, 1
Let m(p) be the first derivative of -1/30*p**6 + 0*p + 1/10*p**2 + 0*p**4 + 2/25*p**5 + 5 - 2/15*p**3. Suppose m(k) = 0. What is k?
-1, 0, 1
Suppose 2*k - 8 = 4*x, -x - x + 2 = 2*k. Suppose -3*z + 2*p - p = -k, 5*z + 3*p = 22. Suppose 0*u + 2/9 + 2/9*u**4 + 0*u**3 - 4/9*u**z = 0. Calculate u.
-1, 1
Let y(t) be the first derivative of t**3/3 - t**2/2 - 2*t + 11. Suppose y(n) = 0. Calculate n.
-1, 2
Suppose 0 = -7*z + 2*z. Let k be (-21)/(-3) - (-4)/(-2). Factor 3*f**5 + z*f + 0*f - 2*f**k.
f**5
Let z(x) = 71*x**2 - x. Let d be z(1). Let w be (-1)/(-7)*d/20. Factor w*q**4 + 2*q + 1/2 + 2*q**3 + 3*q**2.
(q + 1)**4/2
Let h(b) be the first derivative of b**6/40 - b**5/20 - b**4/4 - b**2/2 - 4. Let n(g) be the second derivative of h(g). Factor n(k).
3*k*(k - 2)*(k + 1)
Let k(r) = 2*r - 10. Let m be k(9). Let i(z) = -z + 10. Let v be i(m). Factor q - v + 2*q**2 - q.
2*(q - 1)*(q + 1)
Let z(x) be the third derivative of -x**5/100 + 17*x**4/120 + x**3/5 - 16*x**2 - 3*x. Factor z(g).
-(g - 6)*(3*g + 1)/5
Let h = 1 - -5. Let z be -4*(-3)/h - 0. Factor 2*j**z + 3*j**2 - 6*j**2 - j**3.
-j**2*(j + 1)
Let r(s) = -s**3 - 5*s**2 - 5*s - 7. Let o be r(-5). Let v = 44 + -30. What is a in 18*a**4 - v*a**4 - a - 54*a**3 - a - o*a**2 - 58*a**4 = 0?
-1/3, 0
Let 0*x - 1/7*x**5 + 1/7*x**2 + 3/7*x**4 + 0 - 3/7*x**3 = 0. What is x?
0, 1
Suppose 10 = 2*l + 3*l. Factor -l + 4*o**2 + 3 - o - 4*o.
(o - 1)*(4*o - 1)
Let y**2 - y**4 - 16*y**3 + 5*y**2 + 17*y**3 = 0. Calculate y.
-2, 0, 3
Let n(j) be the first derivative of -j**3/2 - j**2/4 + 7. Find c such that n(c) = 0.
-1/3, 0
Let u be ((-45)/(-195))/((-2)/(-26)). Suppose -6*f**u - 14/5*f**5 - 2/5*f**2 + 0 - 38/5*f**4 + 4/5*f = 0. What is f?
-1, 0, 2/7
Suppose 3 = -l + c + 9, 5*c = 0. Let j(i) be the first derivative of 0*i - 2/45*i**5 + 0*i**2 + 1/27*i**l - 1/18*i**4 + 2/27*i**3 + 2. Factor j(y).
2*y**2*(y - 1)**2*(y + 1)/9
Let k(c) be the third derivative of -c**5/15 - 5*c**4/24 - c**3/6 + 15*c**2. Suppose k(x) = 0. Calculate x.
-1, -1/4
Let w(u) be the third derivative of u**5/180 - u**4/24 + 10*u**2. Solve w(h) = 0.
0, 3
Let z = 2158/225 - -2/225. Let y(l) = 3*l - 14. Let i be y(6). Find o, given that 2/5*o**3 + z*o + 18*o**i - 8/5 - 82/5*o**2 - 10*o**5 = 0.
-1, 2/5, 1
Suppose -18 = -4*v + 5*a + 4, 8 = -4*a. Factor -6*l + v*l**3 + 3*l**2 + 6*l.
3*l**2*(l + 1)
Let k(i) be the second derivative of 5*i**4/12 - 5*i**2/2 + 4*i. Factor k(j).
5*(j - 1)*(j + 1)
Suppose -17*a = -16*a. Factor 2/7*m**3 + 0 - 2/7*m + a*m**2.
2*m*(m - 1)*(m + 1)/7
Let f(g) be the first derivative of g**7/21 + g**6/5 + g**5/10 - g**4/2 - 2*g**3/3 + 2*g - 6. Let h(t) be the first derivative of f(t). What is d in h(d) = 0?
-2, -1, 0, 1
Let f(b) be the third derivative of b**7/70 - b**6/40 + 16*b**2. Let f(w) = 0. What is w?
0, 1
Let z(b) be the second derivative of b**5/50 - 2*b**4/15 + b**3/3 - 2*b**2/5 - 3*b. Let z(m) = 0. Calculate m.
1, 2
Determine z so that 2 - 6*z + 3*z**2 - z**2 + 2*z = 0.
1
Let r(t) be the second derivative of t**6/150 + t**5/20 + 2*t**4/15 + 2*t**3/15 - 21*t. Factor r(v).
v*(v + 1)*(v + 2)**2/5
Factor -6*k**2 + 2*k**4 - 1 - 1/2*k**3 + 11/2*k.
(k - 1)**2*(k + 2)*(4*k - 1)/2
Let l(f) = -11*f**3 - 16*f**2 - 27*f - 1. Let t be -3 - (0 + (-2 - -3)). Let y(u) = 6*u**3 + 8*u**2 + 14*u. Let a(g) = t*l(g) - 7*y(g). Solve a(v) = 0.
-2, -1
Suppose -29 = -3*q + 7. Suppose -g = -4*g + q, 5*h + 3*g - 27 = 0. Determine r, given that -r**4 - 3*r**h - 1 + 2*r + r**3 + 2 = 0.
-1, 1
Let v(s) be the third derivative of -s**8/168 + s**7/21 - s**6/6 + s**5/3 - 5*s**4/12 + s**3/3 - 3*s**2. Suppose v(r) = 0. Calculate r.
1
Let o(y) be the second derivative of 10*y + 0 + 9/10*y**2 + 1/50*y**6 + 3/5*y**4 - y**3 - 9/50*y**5. Factor o(j).
3*(j - 3)*(j - 1)**3/5
Suppose 2*w = -3*g + 21, -g + 2*w - 2 = -1. Factor 4/7 + 6/7*i + 2/7*i**g + 0*i**4 - 4/7*i**2 - 8/7*i**3.
2*(i - 2)*(i - 1)*(i + 1)**3/7
Let v(j) = 3*j**2 + 6*j - 2. Let a(p) = p**2 + 2*p - 1. Let i(n) = 7*a(n) - 2*v(n). Factor i(h).
(h - 1)*(h + 3)
Let d(w) = 64*w**2 - 140*w + 52. Let y = -15 - 1. Let p(u) = -21*u**2 + 47*u - 17. Let x(f) = y*p(f) - 5*d(f). Determine o so that x(o) = 0.
1/4, 3
Let m(g) be the first derivative of 2/3*g**5 + 0*g - 16/9*g**3 + 4/3*g**2 + 2/9*g**6 - 1/2*g**4 + 3. What is h in m(h) = 0?
-2, 0, 1/2, 1
Let n = -10 + 14. Factor n*m - 2 + 1 - 6*m**2 + 4 - 1.
-2*(m - 1)*(3*m + 1)
Let u(r) be the first derivative of -r**5/5 + 17*r**4/4 - 21*r**3 - 81*r**2/2 - 36. Factor u(m).
-m*(m - 9)**2*(m + 1)
Factor h**2 + 2/3*h - 2/3*h**3 + 0.
-h*(h - 2)*(2*h + 1)/3
Let m(p) be the first derivative of p**4/2 + 10*p**3/3 - 6*p**2 + 14. Find h, given that m(h) = 0.
-6, 0, 1
Let j(t) = 16*t**2 - 46*t + 34. Let s(n) = n**3 + 15*n**2 - 45*n + 35. Let l(h) = 3*j(h) - 2*s(h). Determine g, given that l(g) = 0.
1, 4
Find s such that -8/7*s**2 + 0*s - 12/7*s**4 + 0 + 20/7*s**3 = 0.
0, 2/3, 1
Let j(n) be the second derivative of 1/18*n**4 - 1/3*n**2 + 3*n + 0*n**3 + 0. Find c such that j(c) = 0.
-1, 1
Determine q so that -3*q**3 + 2 - 10 + 2 + 9*q**2 - 6 = 0.
-1, 2
Let q(f) be the third derivative of 0*f - 1/4*f**4 - 2*f**2 + 1/10*f**5 + 1/3*f**3 - 1/60*f**6 + 0. Solve q(n) = 0.
1
Let n(y) be the second derivative of y**6/6 - y**5/2 + 5*y**3/3 - 5*y**2/2 + 19*y. Suppose n(r) = 0. Calculate r.
-1, 1
Let h(u) be the third derivative of u**6/60 - 3*u**5/20 + 5*u**4/12 - u**3/2 - 37*u**2. Suppose h(m) = 0. Calculate m.
1/2, 1, 3
Let s(a) = -a. Let n be s(-5). Suppose -n*y - 5 = -3*w + 4, -9 = 2*y - 3*w. Determine t, given that 6*t**4 + t**3 + y*t**4 - 2*t**3 - 2*t**2 = 0.
-1/2, 0, 2/3
Let m(c) = c + 12. Let s be m(-9). Suppose 10*o**4 + 2*o**2 + o**2 + 8*o + 5*o**2 - 23*o**3 - 3*o**s = 0. Calculate o.
-2/5, 0, 1, 2
Suppose 0 = u - 5*k - 4 - 25, -4*k = -u + 24. Let d(p) be the second derivative of p + 0*p**2 + 0 - 1/40*p**6 + 0*p**3 - 1/48*p**u - 1/20*p**5. Factor d(m).
-m**2*(m + 1)*(3*m + 1)/4
Let q(x) = 3*x**2 + 2*x. Let u be q(-3). Suppose -u = -5*v + 29. Suppose 4 - 2*p + 3*p**3 - v*p**2 + p**3 + 6*p**4 - 2*p**3 = 0. What is p?
-1, 2/3, 1
Let z(k) be the third derivative of k**5/15 + k**4/2 - 2*k**2. Solve z(o) = 0 for o.
-3, 0
Factor -7 - 25*j**3 + 11*j**2 + 24*j - 2 + 4*j**2 + 7*j**3.
-3*(j + 1)*(2*j - 3)*(3*j - 1)
Let o(h) be the third derivative of 0*h - 1/20*h**5 - 1/40*h**6 + 0 + 1/4*h**4 + 0*h**3 + 3*h**2. Solve o(a) = 0 for a.
-2, 0, 1
Let z(k) = -k**2 - 3*k - 2. Let w(n) = -5*n**2 - 11*n - 8. Let i(d) = 6*d**2 + 12*d + 9. Let f(t) = -2*i(t) - 3*w(t). Let u(s) = 3*f(s) + 8*z(s). Factor u(a).
(a + 1)*(a + 2)
Let r(h) = -h**2 - 1. Let c(q) = -7*q**2 - 5. Let y(d) = c(d) - 4*r(d). Let m(s) = -13*s**2 + s - 4. Let l = -7 + 16. Let j(x) = l*y(x) - 2*m(x). Factor j(u).
-(u + 1)**2
Factor 20*k**3 + 152 - 151 - k**2 - 19*k**3 - k.
(k - 1)**2*(k + 1)
Let p(s) be the second derivative of -3*s**5/100 - 3*s**4/5 + 27*s**3/10 - 21*s**2/5 + 55*s. Factor p(j).
-3*(j - 1)**2*(j + 14)/5
Let c(l) be the third derivative of -l**8/1176 + 4*l**7/735 - l**6/105 - l**5/105 + 5*l**4/84 - 2*l**3/21 - 5*l**2. Deter