2 + 1/2*y**3 - 1/4*y**4 + 1/4.
-(y - 1)**3*(y + 1)/4
Let g(t) be the first derivative of 4*t**5/5 + 3*t**4 + 4*t**3 + 2*t**2 + 11. Let g(s) = 0. What is s?
-1, 0
Let f(b) = b**2 + 2*b. Let u(r) = -r**3 + 5*r**2 - 2*r + 7. Let v be u(5). Let a be f(v). Let -i + 3*i**3 - i**a - i**3 = 0. Calculate i.
-1, 0, 1
Find q, given that -q - 25*q**2 + 30*q**2 - 5*q**3 + q + 5*q - 5 = 0.
-1, 1
Let t(y) be the second derivative of -y**6/15 - y**5/5 - y**4/6 - 12*y. Factor t(n).
-2*n**2*(n + 1)**2
Let l be (8/(-20))/(6/(-85)). Let t = 6 - l. Solve t*q**2 + 0 + 0*q - 1/3*q**4 + 0*q**3 = 0.
-1, 0, 1
Let s(q) be the third derivative of 0*q**6 + 0*q + 0*q**5 + 0 - 2*q**2 + 0*q**3 + 1/315*q**7 + 0*q**4. Determine g, given that s(g) = 0.
0
Let d(n) = -13*n**3 + 13*n**2 + 13*n - 8. Let i(t) = 32*t**3 - 32*t**2 - 32*t + 20. Let k(f) = 12*d(f) + 5*i(f). Factor k(c).
4*(c - 1)**2*(c + 1)
Factor 4*y**4 + 8*y**3 + 4*y**3 - 230*y**2 + 239*y**2.
y**2*(2*y + 3)**2
Let k(j) = -j**2 + 7*j - 7. Let y be k(5). Suppose -6*w + y*w = -12. Let -6/5*i**4 - 24/5*i**2 + w*i**3 + 12/5*i - 2/5 = 0. Calculate i.
1/3, 1
Let j(f) be the second derivative of -3*f**5/80 - f**4/4 - 5*f**3/8 - 3*f**2/4 - 3*f. Solve j(n) = 0.
-2, -1
Let u(k) be the first derivative of -k**9/9072 - k**8/2520 + k**6/540 + k**5/360 - 5*k**3/3 - 2. Let a(o) be the third derivative of u(o). Factor a(l).
-l*(l - 1)*(l + 1)**3/3
Let j be -2 + (-2)/(-3)*-15. Let a be j/(-21)*(-7)/(-6). Factor 2/3*c - a + 4/3*c**2.
2*(c + 1)*(2*c - 1)/3
Let n(a) be the third derivative of a**8/10080 + a**7/5040 + 2*a**3/3 + 2*a**2. Let y(m) be the first derivative of n(m). Factor y(h).
h**3*(h + 1)/6
Let g(c) be the third derivative of -c**6/90 + c**5/9 - 4*c**4/9 + 8*c**3/9 - 6*c**2. Let g(f) = 0. What is f?
1, 2
Suppose 0*l + 1797 = -l - q, 3584 = -2*l - 4*q. Let h = l - -16234/9. Factor 0 - 2/9*b**3 + h*b**4 - 10/9*b**5 - 4/9*b**2 + 0*b.
-2*b**2*(b - 1)**2*(5*b + 2)/9
Suppose 12*v + 11*v = 46. Let -5/3*r + 1/3*r**5 + 4/3*r**3 + 2/3 - 4/3*r**4 + 2/3*r**v = 0. Calculate r.
-1, 1, 2
Let i(d) be the first derivative of d**3 - 1/2*d**2 + 0*d - 3 - 3/4*d**4 + 1/5*d**5. Factor i(f).
f*(f - 1)**3
Let i(b) be the third derivative of -b**8/168 - b**7/210 + b**6/36 + b**5/30 - b**3/6 - 2*b**2. Let x(z) be the first derivative of i(z). Factor x(h).
-2*h*(h - 1)*(h + 1)*(5*h + 2)
Factor -17*f**4 + 2*f**2 + 11*f**4 - 2*f**2 - 3*f**3 - 3*f**5.
-3*f**3*(f + 1)**2
Let p(k) = 6*k - 9. Let y(o) = -o**2 + 13*o - 17. Let a(f) = -5*p(f) + 3*y(f). Determine w so that a(w) = 0.
1, 2
Let z(a) = 3*a - 2. Let j be z(-6). Let w be (-88)/j + -2 - 2. Solve -2/5*u + 0 + 2/5*u**3 - 2/5*u**4 + w*u**2 = 0 for u.
-1, 0, 1
Factor -605 - 110*l - 28*l**2 - 26*l**2 + 49*l**2.
-5*(l + 11)**2
Let y(v) be the third derivative of v**8/1680 + v**7/1050 - v**6/200 - v**5/300 + v**4/60 + 28*v**2. Let y(k) = 0. Calculate k.
-2, -1, 0, 1
Let l(y) be the first derivative of -3*y**4/4 - 9*y**3 - 36*y**2 - 48*y - 21. Suppose l(g) = 0. What is g?
-4, -1
Let r(z) be the third derivative of z**8/2352 + 2*z**7/735 + z**6/280 - z**5/105 - z**4/42 + 8*z**2. Factor r(y).
y*(y - 1)*(y + 1)*(y + 2)**2/7
Let v = 13 - 8. Suppose 4*r = 12, 3*u - v*r + r = -3. Factor 2/3*y**u + 0 + 1/3*y**4 + 0*y + 0*y**2.
y**3*(y + 2)/3
Let h(c) be the third derivative of -c**5/30 + c**4/4 - 2*c**3/3 - 7*c**2. Factor h(w).
-2*(w - 2)*(w - 1)
Let j be -6 + 0 + 3 + 3. Solve -99 + 35 - 3*g + j*g - 4*g**2 + 35*g = 0 for g.
4
What is s in 4*s + 2*s - 16*s**2 + 4*s + 8 - 12*s**3 + 8*s**4 + 2*s = 0?
-1, -1/2, 1, 2
Let y(f) be the first derivative of 1/3*f**6 - 2/3*f**3 + 7 + 2/5*f**5 - 1/2*f**4 + 0*f + 0*f**2. Factor y(t).
2*t**2*(t - 1)*(t + 1)**2
Let d be 14/49 + (-2)/7. Let p(a) be the second derivative of a + 0*a**2 + 0 - 1/27*a**6 + 0*a**4 + 4/189*a**7 + d*a**3 + 1/90*a**5. What is f in p(f) = 0?
0, 1/4, 1
Suppose -1/3*c**4 + 0*c**2 + 0*c + 0 + 1/3*c**5 - 2/3*c**3 = 0. Calculate c.
-1, 0, 2
Suppose -12 = -6*n + 2*n. Suppose 0 = r - n*r. Find v such that r - 1/2*v**2 + 1/2*v = 0.
0, 1
Let o(d) = 3*d - 5. Let w be o(2). Let g be w/4 + 1/(-4). Factor g*y - 1/4 + 1/4*y**2.
(y - 1)*(y + 1)/4
Let u be 0 + (-2)/(-12)*1. Let t(v) be the first derivative of 1/30*v**5 - 1/8*v**4 + u*v**3 - 1/12*v**2 - 3 + 0*v. Suppose t(q) = 0. Calculate q.
0, 1
Let b = -16 - -18. Let a(c) be the third derivative of 0 - 1/96*c**4 + 0*c - 1/240*c**5 + 0*c**3 + c**b. Factor a(y).
-y*(y + 1)/4
Let x(h) be the first derivative of 0*h**3 - 2 + 2/15*h**5 - 2/3*h + 1/3*h**4 - 2/3*h**2. Factor x(q).
2*(q - 1)*(q + 1)**3/3
Let w(d) = d**3 - d**2 + d - 1. Let o be w(0). Let g be -1 - (o - (-4)/(-16)). Factor 0*c**2 + 0 + 1/4*c**4 + 0*c + g*c**3.
c**3*(c + 1)/4
Let h = -599 + 599. Factor 2/5*z**2 + 0 + h*z.
2*z**2/5
Let m(r) = -6*r**2 + 6. Let p(g) = -9 + g**2 + 7 + 1. Let a(z) = m(z) + 3*p(z). Find n, given that a(n) = 0.
-1, 1
Factor -6*j + 3*j**2 - 3*j + 15*j + 3.
3*(j + 1)**2
Let p(m) be the first derivative of -m**4/4 - m**3 - m**2 - 5. Suppose p(t) = 0. Calculate t.
-2, -1, 0
Let j(v) = -15*v + 2*v**3 - v**3 + 3*v**2 + 14*v. Let n be j(-3). Factor -5/2*s**2 - s + 0 - s**n.
-s*(s + 2)*(2*s + 1)/2
Let b be 82/(-450) - (-3)/((-81)/(-6)). Let h(r) be the first derivative of -13/15*r**3 - b*r**5 - 3/10*r**4 - 4/5*r - 6/5*r**2 - 1. Factor h(k).
-(k + 1)**2*(k + 2)**2/5
Let i = 6 - -4. Suppose 4*n - i = -a, 3*a - 5*n = -2*a. Find m such that 3*m + 6*m**4 + m**3 + 0*m**3 - 6*m**2 - 7*m + m**3 + a*m**5 = 0.
-2, -1, 0, 1
Let d = -181 - -181. Factor d - 3/2*n**2 - 3/2*n**3 + 3*n.
-3*n*(n - 1)*(n + 2)/2
Let n(j) = 2*j**2 - j. Let u be n(-1). Solve 0*w + 4*w**2 + w - u*w**2 - 2*w = 0.
0, 1
Let n be 16/300*6/4. Let h = n + 44/75. Factor h*v**2 - 2/3*v**3 + 0 + 0*v.
-2*v**2*(v - 1)/3
Let f(k) be the second derivative of -k**7/42 + k**6/30 + k**5/10 - k**4/6 - k**3/6 + k**2/2 + 14*k. Factor f(i).
-(i - 1)**3*(i + 1)**2
Factor 0*k + 1/4*k**2 + 0 + 1/4*k**3.
k**2*(k + 1)/4
Let f be (-50)/(-24) - (-2)/8. Let z(h) be the first derivative of -4/3*h + f*h**2 + 4/9*h**3 - 7/6*h**4 + 2. Factor z(j).
-2*(j - 1)*(j + 1)*(7*j - 2)/3
Let d(j) be the second derivative of j**5/180 + j**4/18 + 2*j**3/9 - 5*j**2/2 + 6*j. Let g(w) be the first derivative of d(w). Factor g(q).
(q + 2)**2/3
Let m = -14 + -3. Let b = m + 19. Let -2 + 3/2*p**2 + b*p = 0. Calculate p.
-2, 2/3
Let b be (-18)/(-4)*12/(-8). Let z = 85/12 + b. Solve z*c**4 + 2/3*c - 2/3*c**3 + 0*c**2 - 1/3 = 0.
-1, 1
Let v(c) be the second derivative of -c**5/270 - 2*c**4/27 - 16*c**3/27 + c**2 - 2*c. Let m(y) be the first derivative of v(y). Solve m(s) = 0.
-4
Let k(b) = -6*b**4 - 6*b**3 + 6*b**2 + 30*b + 18. Let d(h) = h**4 - h**3 + h**2 + h. Let y(n) = 3*d(n) + k(n). Factor y(g).
-3*(g - 2)*(g + 1)**2*(g + 3)
Solve -8*q**3 - 16*q + 4*q**3 + 13*q + 24*q**2 - 33*q = 0.
0, 3
Find i such that 0*i + 3*i**2 + i**3 + 1 - i**2 - 3*i**2 - i = 0.
-1, 1
Suppose -v - 2 = 4. Let h be (3 + 1)/2 - v. Factor -w - 4*w**3 - h + 5*w**2 + 8.
-w*(w - 1)*(4*w - 1)
Let u(o) be the first derivative of -3/16*o**4 + 1/2*o + 3/8*o**2 - 1/12*o**3 - 4 - 1/20*o**5. Factor u(p).
-(p - 1)*(p + 1)**2*(p + 2)/4
Suppose -51 = -4*x + 69. Let p be (-18)/24 + x/8. Suppose -2*g**2 + 0*g**2 - 3*g**2 + 3*g - g**2 + 3*g**p = 0. Calculate g.
0, 1
Suppose 2*y - 14 = -2*q, 0*y + 2*q - 28 = -4*y. Let b = 13 + -13. Factor d**3 + 2*d + 4*d**4 + b*d**3 - y*d**3.
2*d*(d - 1)**2*(2*d + 1)
Let p(m) be the first derivative of 0*m**4 + 3/2*m**2 + 0*m - 1/2*m**6 + 6/5*m**5 - 7 - 2*m**3. Suppose p(z) = 0. Calculate z.
-1, 0, 1
Let t = 1/86 + 83/258. Let b(d) be the first derivative of -3 - 1/3*d - t*d**2 - 1/9*d**3. What is x in b(x) = 0?
-1
Find y such that 7/2*y**3 + 5/2*y**4 - 1/2*y**2 - 4*y - 2 + 1/2*y**5 = 0.
-2, -1, 1
Let b(r) be the first derivative of r**5/15 - r**4/3 + 2*r**3/3 - 2*r**2/3 + r/3 - 1. Suppose b(m) = 0. What is m?
1
Let y(g) be the third derivative of -1/60*g**5 - 1/6*g**3 + 1/12*g**4 + 0 + 0*g - 3*g**2. Factor y(i).
-(i - 1)**2
Let y = -4 - -1. Let x be 5 + (-3)/(y/(-2)). Factor -r**2 + 4*r**2 - 4*r**5 - r**2 - 2*r**4 - r - 2*r**4 + 3*r**x.
-r*(r + 1)**2*(2*r - 1)**2
Suppose -2*v - x - 2 = 0, -x - 13 = -5*v + x. Let r be (v - -1) + 32/(-18). Factor 8/9*z + 8/9*z**2 + 0 + r*z**3.
2*z*(z + 2)**2/9
Let a(k) be the first derivative of -7*k**4/36