 Factor -3*y**2 - 2 - y + 2*y**s + 5*y**2 - y.
2*(y - 1)*(y + 1)**2
Let x(a) = -4*a**5 - 3*a**4 - a**3 - 2*a**2. Let p(m) = 8*m**5 + 5*m**4 + 2*m**3 + 5*m**2. Let t(d) = 2*p(d) + 5*x(d). Factor t(z).
-z**3*(z + 1)*(4*z + 1)
Let i be ((-4)/(-10))/((-5)/25)*-1. Factor 0 - 2/3*t**i - 4/3*t.
-2*t*(t + 2)/3
Let w be (2/4)/(2/4). Suppose u + n + 2 = 0, -n + w = 6. Factor -2*l - l**u + 4*l - 3*l**4 + 3*l**3 + 7*l**2.
-l*(l - 2)*(l + 1)*(3*l + 1)
Let a be 49/14*(-8)/(-42). Let b(f) be the first derivative of -2/5*f**5 + 2 + 0*f + 0*f**4 + 0*f**2 + a*f**3. Factor b(o).
-2*o**2*(o - 1)*(o + 1)
Let v be (2 - (-5)/(-3))/(3/36). Find i such that 0 - 7/4*i**2 + 1/4*i**5 - 5/4*i**v + 9/4*i**3 + 1/2*i = 0.
0, 1, 2
Suppose -7 = -4*m + 13. Let j(f) = -9*f**3 - 8*f**2 - 9*f + 5. Let h(u) = 4*u**3 + 4*u**2 + 4*u - 2. Let o(i) = m*h(i) + 2*j(i). Factor o(l).
2*l*(l + 1)**2
Let d(j) be the second derivative of 2/21*j**3 + 6*j + 1/42*j**4 + 0*j**2 + 0. What is v in d(v) = 0?
-2, 0
Suppose 7*s = -2*q + 4*s - 8, -3*s - 2 = 5*q. Let w(a) be the first derivative of -q + 2/3*a**3 + 0*a + a**2. Find g such that w(g) = 0.
-1, 0
Factor 3/8*t**2 + 0 - 3/8*t.
3*t*(t - 1)/8
Let r(q) be the first derivative of 7*q**6/33 - 24*q**5/55 + 3*q**4/22 + 4*q**3/33 - 25. Factor r(w).
2*w**2*(w - 1)**2*(7*w + 2)/11
Let o be (-1 + 12 + -11)/(1*5). Factor o + 2/3*s - 5/3*s**2.
-s*(5*s - 2)/3
Let m(r) be the third derivative of -r**6/120 + r**5/30 + r**4/24 - r**2. Let w(z) = 8*z**3 - 16*z**2 - 9*z. Let j(d) = 51*m(d) + 6*w(d). Factor j(h).
-3*h*(h - 1)**2
Let g be 9/20 - (-8)/(-40). Let c(l) be the second derivative of 1/2*l**3 - 3*l + g*l**4 + 0*l**2 + 0. Factor c(d).
3*d*(d + 1)
Let j(a) be the second derivative of -a**7/280 + a**5/40 - a**3/8 + 5*a**2/2 - 4*a. Let m(q) be the first derivative of j(q). Factor m(n).
-3*(n - 1)**2*(n + 1)**2/4
Let f = 6 + -8. Let s(u) = -8*u**4 - u**3 + 6*u**2 + u - 1. Let c(g) = g**4 - g**3 + g**2 + g + 1. Let q(t) = f*s(t) - 2*c(t). Factor q(h).
2*h*(h - 1)*(h + 1)*(7*h + 2)
Let t = -1823/24 - -76. Let n(k) be the second derivative of 1/80*k**5 + 1/30*k**6 - 1/56*k**7 - t*k**4 + 0 + 0*k**2 - k + 0*k**3. Determine w so that n(w) = 0.
-2/3, 0, 1
Let y = -9 - -9. Let g(p) be the third derivative of 0 + y*p + 1/72*p**4 + 1/360*p**5 + 1/36*p**3 - p**2. Factor g(f).
(f + 1)**2/6
Find s such that -9*s**2 - 4 - 1/2*s**4 + 7/2*s**3 + 10*s = 0.
1, 2
Let n(l) be the third derivative of -l**5/150 - l**4/20 - 2*l**3/15 - 33*l**2. Solve n(m) = 0.
-2, -1
Let x(o) be the first derivative of 2*o**4/3 - 4*o**3/9 - 4*o**2/3 + 4*o/3 - 32. Solve x(p) = 0.
-1, 1/2, 1
Let j(v) be the second derivative of -v**5/100 - v**4/60 + 3*v. Suppose j(q) = 0. What is q?
-1, 0
Let l = 301/380 + -4/95. Suppose -3/4*t**3 - 9/4*t + 9/4*t**2 + l = 0. What is t?
1
Let r(d) be the first derivative of -d**3 - 3/2*d**4 + 3/5*d**5 - 1 + 3*d**2 + 0*d. Factor r(k).
3*k*(k - 2)*(k - 1)*(k + 1)
Let d = -100 - -502/5. Solve -2/5 + 0*w + d*w**2 = 0.
-1, 1
Let r(c) = -c**3 - 1. Let k(p) = 8*p**2 - 10*p + 6. Suppose 5*d - 2 = 3*d. Let h = 5 - 3. Let m(x) = d*k(x) + h*r(x). Determine w so that m(w) = 0.
1, 2
Let n(m) = m**2 - 13*m + 40. Let y be n(5). Find i such that y*i - 1/4*i**4 + 3/4*i**3 - 3/4*i**5 + 1/4*i**2 + 0 = 0.
-1, -1/3, 0, 1
Find i such that 1/2*i - 1/8*i**2 - 3/8 = 0.
1, 3
Factor 1 - 6*o + 21*o**2 + 4 - 15*o**2 - 3 - 2*o**3.
-2*(o - 1)**3
Let n(d) be the second derivative of d**5/20 - d**4/6 - 2*d**2 + 3*d. Let v be n(3). Find r, given that -r + 4*r - 3*r - r**v + 2*r**2 + 3*r**3 = 0.
-1, 0, 2
Let p = -7 + -9. Let x(w) = -w**2 - 3*w - 7. Let i(j) = -4*j**2 - 10*j - 22. Let v(h) = p*x(h) + 5*i(h). Factor v(o).
-2*(o + 1)*(2*o - 1)
Factor 2/3*q - 2/3*q**3 - 2/3*q**2 + 2/3.
-2*(q - 1)*(q + 1)**2/3
Let l be (18/4)/((-10)/(-4)). Let u = -3/14 - -99/70. Factor 6/5*i**3 + 3/5 + u*i**2 - 9/5*i - l*i**4 + 3/5*i**5.
3*(i - 1)**4*(i + 1)/5
Let r be ((-10)/75)/(12/(-20)). Let a be 34/72 - (-2)/(-8). What is v in r*v**3 - 2/9*v - a*v**2 + 2/9 = 0?
-1, 1
Let t(b) be the first derivative of -b**2 + 1/210*b**5 + 3 - 1/42*b**4 + 0*b**3 + 0*b. Let p(l) be the second derivative of t(l). Find j such that p(j) = 0.
0, 2
Let b = 2 - -2. Let -2*y**2 + y + y + 0*y**2 - b + 8 = 0. What is y?
-1, 2
Let h be -2*(-2 + 39/(-6)). Suppose h = -4*r - 5*s, 0*r = -3*r - 4*s - 14. Determine n so that -2 - n**2 - r + 5*n - n = 0.
2
Suppose 3*d - 2 = 7. Factor 4*l**3 + d*l**2 + 6*l**2 - l**3 + 9*l + 3.
3*(l + 1)**3
Let l be 0*4/(-16)*-4. Determine y so that l*y**5 - 4*y**2 + 5*y - 3*y + 8*y**2 - 2*y**5 - 4*y**4 = 0.
-1, 0, 1
Let u(r) be the second derivative of -r**6/15 + 2*r**5/15 + r**4/18 - 2*r**3/9 - 18*r. Factor u(k).
-2*k*(k - 1)**2*(3*k + 2)/3
Let g(x) be the second derivative of x**4/54 + x. Factor g(r).
2*r**2/9
Let b(s) = -s - 11. Let z be b(-17). Factor -7*w**3 + 0*w**3 + w + z*w**3.
-w*(w - 1)*(w + 1)
Let v(q) be the first derivative of 7 - 2/7*q**2 + 6/7*q - 2/21*q**3. Suppose v(m) = 0. Calculate m.
-3, 1
Factor -71 + 3*q**2 + 4*q + q**2 + 63.
4*(q - 1)*(q + 2)
Find l, given that -19*l**2 + 3*l**4 + 12*l**3 - 11*l**4 + 27*l**2 = 0.
-1/2, 0, 2
Let l(o) be the third derivative of -o**5/48 - 5*o**4/8 - 15*o**3/2 - 20*o**2. Factor l(c).
-5*(c + 6)**2/4
Let h = -5 + 7. Let g(v) be the first derivative of -2/5*v**5 + 0*v - v**h + 1/2*v**4 + 2/3*v**3 + 2. Factor g(l).
-2*l*(l - 1)**2*(l + 1)
Let j(h) be the first derivative of -h**6/27 - 2*h**5/15 + h**4/2 + 46*h**3/27 - 8*h**2/3 - 8*h + 33. Find c, given that j(c) = 0.
-3, -1, 2
Let u(r) = -6*r**4 + 2*r**3 - r**2 - 2*r. Let n(m) = m**4 + m**3 + m. Let g(j) = 10*n(j) + 5*u(j). Factor g(a).
-5*a**2*(2*a - 1)**2
Let f(u) = 27*u**2 + 21*u + 24. Let i(h) = 7*h**2 + 5*h + 6. Let s(p) = -4*f(p) + 15*i(p). Factor s(b).
-3*(b + 1)*(b + 2)
Let u(w) = 2*w**2 + 15*w + 2. Let l(z) be the second derivative of -z**4/12 - z**2/2 + 6*z. Let o(j) = -4*l(j) + u(j). Determine d so that o(d) = 0.
-2, -1/2
Suppose 24 = 2*r + 18. Let j(v) = -v**2 + 3*v. Let p(z) = -6*z**2 + 14*z. Let t(g) = r*p(g) - 16*j(g). Solve t(n) = 0.
-3, 0
Let t(v) = v**5 - 2*v**4 - v**3 + v**2 - v. Let u(a) = a**5 - a**3 + a**2 + a. Let g(q) = -t(q) - u(q). Solve g(l) = 0.
-1, 0, 1
Let i(h) be the first derivative of -h**6/7 - 22*h**5/35 - h**4 - 4*h**3/7 + h**2/7 + 2*h/7 + 4. Factor i(p).
-2*(p + 1)**4*(3*p - 1)/7
Factor -t + 3/4 + 1/4*t**2.
(t - 3)*(t - 1)/4
Let p(l) be the second derivative of -l**4/12 + 6*l. Solve p(d) = 0.
0
Let s(v) be the third derivative of 11*v**2 + 0*v**4 + 0 + 0*v**3 - 1/490*v**7 - 1/140*v**5 - 1/140*v**6 + 0*v. Factor s(u).
-3*u**2*(u + 1)**2/7
Let s(t) be the second derivative of t + 0*t**4 + 0 - 3/100*t**5 + 0*t**2 + 0*t**3 - 1/70*t**7 - 1/25*t**6. Suppose s(m) = 0. Calculate m.
-1, 0
Let t(n) be the second derivative of -n**5/60 - n**4/12 - n**3/9 + 7*n. Factor t(i).
-i*(i + 1)*(i + 2)/3
Let m be -1*6/(-2) - (-923)/(-355). Suppose -3*h + 4*h = -2*f + 3, -2*f = -2*h + 6. Suppose -2*c**5 - 16/5*c**4 + f + 4/5*c**2 - m*c**3 + 0*c = 0. What is c?
-1, 0, 2/5
Let k = 0 + -6. Let g be (-16)/(-6) + k/3. Factor 2/3*a**3 + 2/3*a**2 - 2/3*a - g.
2*(a - 1)*(a + 1)**2/3
Let r(x) be the second derivative of -x**6/60 + x**5/6 - 2*x**4/3 + 4*x**3/3 - x**2 + 7*x. Let p(v) be the first derivative of r(v). Factor p(n).
-2*(n - 2)**2*(n - 1)
Let q(g) be the first derivative of g**3/7 - 3*g**2/7 + 3*g/7 + 2. Factor q(z).
3*(z - 1)**2/7
Let t(a) be the second derivative of 0*a**3 + 0*a**2 + 1/189*a**7 - 11*a + 1/90*a**5 + 0*a**4 - 2/135*a**6 + 0. Factor t(w).
2*w**3*(w - 1)**2/9
Let y(l) be the first derivative of -4*l**5/45 - 7*l**4/18 - 8*l**3/27 + 4*l**2/9 - 6. Find w, given that y(w) = 0.
-2, 0, 1/2
Let f(r) = -r - 5. Suppose 0 = 4*m - 4*l + 36, 2*l + 2 - 5 = -m. Let d be f(m). Factor -1/3*g**4 + d + 1/3*g**3 + 0*g**2 + 0*g.
-g**3*(g - 1)/3
Let p(s) be the second derivative of -s**3/6 + s**2/2 - 3*s. Let y(q) = -3*q**3 + 6*q**2 - 6*q + 3. Let i(a) = -3*p(a) + y(a). What is x in i(x) = 0?
0, 1
Suppose -2*q = 8*p - 5*p - 7, -q - 2 = -4*p. Factor -11/2*i**q - 2/3 - 28/3*i**3 - 8/3*i**4 + 14/3*i.
-(i + 2)**2*(4*i - 1)**2/6
Let a(x) be the third derivative of -x**6/75 + 11*x**5/75 - 2*x**4/5 - 6*x**3/5 - 10*x**2. Factor a(v).
-4*(v - 3)**2*(2*v + 1)/5
Determine h, given that 1/2*h**4 + 0*h + 0 + 1/2*h**2 