2/3*y**3 + j*y + 2/3*y**5 + 0 + 2/3*y**2.
2*y**2*(y - 1)**2*(y + 1)/3
Let d(a) be the second derivative of a**4/54 + a**3/27 + 20*a. Factor d(p).
2*p*(p + 1)/9
Let r = 89/2 - 44. Let r*b**2 - 1/2*b**3 - 1/2 + 1/2*b = 0. What is b?
-1, 1
Determine m so that 3 - 1 - 12*m**2 + 4 - 17*m + 17*m**2 = 0.
2/5, 3
Solve -1/2 + 2*t**2 - 1/4*t - 5/4*t**3 = 0.
-2/5, 1
Let d(b) be the first derivative of -3 - 2/9*b**2 - 2/27*b**3 - 2/9*b. Factor d(w).
-2*(w + 1)**2/9
Let x(o) be the first derivative of -o**6/120 - 3*o**5/80 - o**4/24 - 3*o - 1. Let n(i) be the first derivative of x(i). Solve n(z) = 0.
-2, -1, 0
Let d(a) be the second derivative of a**7/1365 + a**6/780 - a**5/195 + a**2/2 + 5*a. Let i(h) be the first derivative of d(h). Factor i(p).
2*p**2*(p - 1)*(p + 2)/13
Let a(s) be the third derivative of s**8/4200 + s**7/1050 + s**6/900 - 2*s**3/3 + 5*s**2. Let t(i) be the first derivative of a(i). Find o, given that t(o) = 0.
-1, 0
Determine a so that -2/5*a + 4/5*a**3 + 0*a**4 - 2/5*a**5 + 0*a**2 + 0 = 0.
-1, 0, 1
Let i(t) = 4*t. Suppose -5*s + 5 = -p, -5*s = -2*p - 0*p. Let v(a) = -a**2 - 8*a - 1. Let g(b) = s*v(b) + 5*i(b). Find x such that g(x) = 0.
1
Let r(x) = 1 - 5 + 7 - x**2. Let v(d) = 3*d**2 + d - 5. Let o(f) = 5*r(f) + 3*v(f). Factor o(p).
p*(4*p + 3)
Let f = 14 - 16. Let k be (f/(-12))/((-1)/(-4)). Let 0 - k*i**3 + 2/3*i + 2/3*i**4 - 2/3*i**2 = 0. Calculate i.
-1, 0, 1
Suppose -a = 5*f + 2*a - 69, -3*f - 2*a + 41 = 0. Factor f*q + 3*q - 24*q**4 - 4*q + 52*q**3 + 2*q + 4*q**5 - 48*q**2.
4*q*(q - 2)**2*(q - 1)**2
Factor 2/3*o**4 - 1/3*o**5 - 1/3*o**3 + 0 + 0*o + 0*o**2.
-o**3*(o - 1)**2/3
Suppose -11/6*k + 8/3*k**2 + 1/3 - 7/6*k**3 = 0. Calculate k.
2/7, 1
Suppose 2*a**2 + 12/5*a**3 + 0 + 3/5*a + 6/5*a**4 + 1/5*a**5 = 0. Calculate a.
-3, -1, 0
Let k(f) be the third derivative of f**6/90 + f**5/18 - f**4/12 + 6*f**2 + 2*f. Let k(y) = 0. What is y?
-3, 0, 1/2
Let a be ((-1)/15)/((-24)/80). Let y(g) be the first derivative of 0*g + 0*g**2 + 0*g**4 + 2/15*g**5 - 2 - a*g**3. Solve y(t) = 0 for t.
-1, 0, 1
Suppose -2*a = 5*s - 36, -4*s + 31 = 5*a + 9. Suppose m = -m - t + 2, 0 = 2*m - 4*t + s. Factor -2/3*o + m*o**2 - 4/9 + 2/9*o**3.
2*(o - 2)*(o + 1)**2/9
Let h(s) = s**3 + 3*s**2 - s - 1. Let p be h(-3). Factor 6*b**2 + 8 + 4*b**3 + 2*b**2 - 2*b**3 + p*b**2 + 16*b.
2*(b + 1)*(b + 2)**2
What is q in -8/17*q**3 + 0*q + 0 + 0*q**4 + 2/17*q**5 + 0*q**2 = 0?
-2, 0, 2
Suppose -2*r = 3*r + 20, -2*r = -2*m + 22. Suppose m*j = 3*j + 40. Suppose -8*x**3 - x**5 - x - j*x**2 - 5*x**4 - 4*x - 2*x**3 - 1 = 0. What is x?
-1
Let z be ((-4)/5 + 1)/((-81)/(-270)). Factor h + 1/3*h**2 + z.
(h + 1)*(h + 2)/3
Determine d so that -3/4*d**2 + 3/4*d + 0 = 0.
0, 1
Let 2*y**2 - 2*y**2 + 8*y**2 + 6 - 14*y = 0. Calculate y.
3/4, 1
Let o be -2 + 7/3 + (-1)/(-6). Let s be (-24)/(-9) + (-4)/6. Solve 0*i + o + 1/2*i**4 + 0*i**3 - i**s = 0.
-1, 1
Let b be 1 - (-85)/180*-2. Let q(v) be the second derivative of 2*v + 1/36*v**4 + 0*v**2 + b*v**3 + 0. Suppose q(a) = 0. What is a?
-1, 0
Let h be 2/6 - 4/(-4). Let n = 44 - 128/3. Factor -n*l - h - 1/3*l**2.
-(l + 2)**2/3
Suppose l = 4*l. Factor -2*n + 0*n**2 + 2*n**2 + l*n**2.
2*n*(n - 1)
Let u(c) = c - 6. Suppose i - 2*q - 20 = q, i = 2*q + 16. Let k be u(i). Factor 1/4*b**4 + 0 + 0*b + 0*b**k + 1/4*b**3.
b**3*(b + 1)/4
Let s(u) be the second derivative of -2*u**7/21 - 2*u**6/15 + 3*u**5/5 + 5*u**4/3 + 4*u**3/3 - u. Find r, given that s(r) = 0.
-1, 0, 2
Let d(v) be the second derivative of -v**7/210 + v**6/75 - v**5/100 + 5*v. Factor d(m).
-m**3*(m - 1)**2/5
Let d be (3 - 1) + 2/2*-1. Let g(h) be the first derivative of -2/3*h - 1/12*h**4 + 2/9*h**3 + 1/6*h**2 + d. Suppose g(x) = 0. Calculate x.
-1, 1, 2
Let d(x) be the third derivative of x**9/60480 + x**8/26880 - x**7/10080 - x**6/2880 - x**4/8 - 3*x**2. Let j(c) be the second derivative of d(c). Factor j(r).
r*(r - 1)*(r + 1)**2/4
Let z(i) be the first derivative of 4/5*i**5 - 8/3*i**3 + 4*i - 10 + 2*i**4 - 2*i**2 - 2/3*i**6. Suppose z(h) = 0. Calculate h.
-1, 1
Suppose 9 = 5*j - 2*c, -2*j + c - 6 = -3*c. Suppose 0 = -j*x - x + o + 11, 2*x - 28 = -4*o. What is l in 2*l**x + l**2 - l**3 - l**3 - 3*l**2 + 2*l**5 = 0?
-1, 0, 1
Suppose 0 = l + l + 4. Let b = 8 + l. Find x, given that -9/2*x**2 - 2 + b*x = 0.
2/3
Let h(k) = -28*k**2 + 16*k + 20. Let t(b) = -19*b**2 + 11*b + 13. Let a(o) = -5*h(o) + 8*t(o). Determine p so that a(p) = 0.
-1/3, 1
Let d = -227/3 + 77. Factor -2/3*c**2 + 0 + d*c.
-2*c*(c - 2)/3
Let b(r) be the third derivative of 0*r**3 + 1/120*r**4 + 1/150*r**5 + 0*r + 0 - 1/525*r**7 + 0*r**6 - 3*r**2 - 1/1680*r**8. Let b(x) = 0. What is x?
-1, 0, 1
Let m(w) be the first derivative of -w**6/60 - w**5/30 - 2*w**2 + 5. Let h(y) be the second derivative of m(y). Factor h(f).
-2*f**2*(f + 1)
Let p(w) be the first derivative of -w**6/3 + 4*w**5/5 - w**4/2 - 4. What is i in p(i) = 0?
0, 1
Suppose d = 3*d + 2. Let v be d/((-33)/6 - -2). Determine a so that -v*a**3 + 0*a + 0*a**2 - 2/7*a**4 + 0 = 0.
-1, 0
Factor 3/4*z**4 + 0*z + 3/4*z**2 + 3/2*z**3 + 0.
3*z**2*(z + 1)**2/4
Let i = -11 - -15. Let t = -1 + 3. Factor -x**2 - x**i - x**3 + 9*x + t*x**2 - 8*x.
-x*(x - 1)*(x + 1)**2
Let v(r) be the first derivative of -r**7/105 + 3*r**6/80 - r**5/20 + r**4/48 - r**2 - 7. Let b(a) be the second derivative of v(a). Solve b(m) = 0 for m.
0, 1/4, 1
What is g in -2/3*g**2 - 2/9*g**4 + 0 - 2/3*g**3 - 2/9*g = 0?
-1, 0
Find i, given that 4/9 - 2*i + 8/3*i**2 - 10/9*i**3 = 0.
2/5, 1
Suppose 2*b**2 + 2 + 20/3*b = 0. Calculate b.
-3, -1/3
Let l(d) = -2*d. Let a be (-31)/3 + (-1)/(-3). Let f(z) = z**2 + 13*z. Let m(k) = a*l(k) - 2*f(k). Factor m(g).
-2*g*(g + 3)
Find o, given that 10*o - 174*o**2 - 4 + 170*o**2 + 0 = 0.
1/2, 2
Let z(s) = -3*s + s**2 - 4 + 10 + 9*s - s. Let u(a) = a + 1. Let w(v) = 6*u(v) - z(v). Factor w(g).
-g*(g - 1)
Let f = -125/9 - -635/36. Let n = f + -13/4. What is q in -n + q + 1/2*q**4 + 0*q**2 - q**3 = 0?
-1, 1
Suppose -4 - 12*o - 10*o**2 + 0*o**2 + 0*o**3 - 4*o**3 - 2*o**2 = 0. Calculate o.
-1
Let m = -470231/10149 - 2/3383. Let x = 47 + m. Factor -1/3*q - 1/3*q**3 + 0 + x*q**2.
-q*(q - 1)**2/3
Let t(f) = -f + 2. Let q be t(2). Let p be (q/1 - 1) + 5. Solve -4*a**3 - 4*a**2 + 4*a + 2 - 2*a**p + 4*a**2 = 0.
-1, 1
Suppose -4 = -4*y + 16. Let b(v) = -v**2 + 4*v + 7. Let x be b(y). Factor -g**4 - 3*g**4 + 3*g**5 - g**5 + x*g**3.
2*g**3*(g - 1)**2
Suppose m - 5 = -3*x, 5*m - 4 = 6*m. Let d be (-2 + 1 - 1)*-1. Factor 0 + x*w - 3/2*w**d.
-3*w*(w - 2)/2
Let f(d) be the second derivative of d**5/30 + 2*d**4/9 + 5*d**3/9 + 2*d**2/3 + d. Factor f(m).
2*(m + 1)**2*(m + 2)/3
Let l(q) = 2*q**3 - 2*q**2 + 2*q - 1. Let j be l(1). Let c be (j - 7)*(-13)/39. Factor -4/3 + c*f - 2/3*f**2.
-2*(f - 2)*(f - 1)/3
Let p(h) be the third derivative of h**8/20160 + h**7/5040 - h**5/6 - 5*h**2. Let a(y) be the third derivative of p(y). Factor a(f).
f*(f + 1)
Let m be -2 + -2 - (-11 + 7). Let b(v) be the second derivative of 1/25*v**5 - 2/15*v**3 + 1/5*v**2 + m + v + 0*v**4 - 1/75*v**6. Find p, given that b(p) = 0.
-1, 1
Let x = -64 - -196/3. Find v such that -x*v + 2/3 - 2/3*v**4 + 0*v**2 + 4/3*v**3 = 0.
-1, 1
Let f(v) be the second derivative of 7*v**4/12 + 25*v**3/6 + 2*v. Let u(t) = -3*t**2 - 12*t. Let c(l) = -6*f(l) - 13*u(l). Factor c(d).
-3*d*(d - 2)
Let u be (0/(-3 - 1))/2. Factor 3*p + 2*p**4 - 3*p**2 - 8*p**3 + 13*p**2 + u*p**4 - 7*p.
2*p*(p - 2)*(p - 1)**2
Factor -2/11*h**3 + 16/11*h**2 - 14/11*h + 0.
-2*h*(h - 7)*(h - 1)/11
Let v be ((-1)/(-3))/(2/12). Factor 0*q**3 + 1 - 5 - 2*q**3 - 10*q - 8*q**v.
-2*(q + 1)**2*(q + 2)
Let h = -6204547/19859 - -4/2837. Let y = 313 + h. Factor -2/7*t + 2/7*t**2 - y.
2*(t - 2)*(t + 1)/7
Let y(i) be the third derivative of i**8/420 + 4*i**7/525 - 7*i**6/150 + 4*i**5/75 - 34*i**2. Factor y(p).
4*p**2*(p - 1)**2*(p + 4)/5
Let o(q) be the first derivative of -2 - 1/30*q**4 + 0*q**3 - 2/75*q**6 - 3*q + 0*q**2 + 3/50*q**5. Let x(r) be the first derivative of o(r). Factor x(j).
-2*j**2*(j - 1)*(2*j - 1)/5
Let i(s) be the second derivative of s**7/350 + s**6/120 - s**5/300 - s**4/24 - s**3/15 + s**2 - 7*s. Let k(w) be the first derivative of i(w). Factor k(p).
(p - 1)*(p + 1)**2*(3*p + 2)/5
Let t(b) = -b**4 - b**3 - b**2 + 5*b - 2. Let s(k) be the second der