 Factor s(y).
-y*(y + 1)*(7*y + 2)/5
Suppose -5*f + 3 + 7 = 0. Suppose 2 - 12*h**2 - h**3 - 2 + 11*h**f = 0. What is h?
-1, 0
Let r(p) = -2*p**5 - 4*p**4 + 12*p**3 - 8*p**2 - 10*p - 6. Let z(w) = -w**4 + w**3 - w**2 - w - 1. Let i(q) = -r(q) + 6*z(q). Factor i(g).
2*g*(g - 2)*(g - 1)*(g + 1)**2
Let m = 5 + -6. Let q be 3/m + (9 - 1). Factor 2*n**4 - 1/2*n - 3*n**3 + 0 - 1/2*n**q + 2*n**2.
-n*(n - 1)**4/2
Let d(b) = -6*b**4 + 14*b**3 - 2*b**2 - 14*b - 8. Let a(p) = 2*p**4 - 5*p**3 + p**2 + 5*p + 3. Let f = -19 + 16. Let t(h) = f*d(h) - 8*a(h). Factor t(x).
2*x*(x - 1)**2*(x + 1)
Suppose -5*w = -43 + 3. Suppose -2*k + 4*k = w. Factor 4*n**2 - k*n**2 - 3*n**2 + 2 + 4*n**2 - 3*n.
(n - 2)*(n - 1)
Let z = 13 - 4. Let g = -5 + z. Solve -2/7 - 20/7*o**2 - 10/7*o**g - 10/7*o - 20/7*o**3 - 2/7*o**5 = 0 for o.
-1
Let k(a) be the first derivative of 2*a**5/15 + a**4/2 + 2*a**3/3 + a**2/3 - 7. Factor k(p).
2*p*(p + 1)**3/3
Let n(q) be the first derivative of 8/75*q**5 + 1/15*q**2 + 10 + 1/5*q**4 + 0*q + 1/45*q**6 + 8/45*q**3. Factor n(s).
2*s*(s + 1)**4/15
Let u(r) be the first derivative of r**6/2 - r**5/5 + r**4/4 + 5*r**3/3 + 3. Let h(s) = -s**5 - s**2. Let z(n) = 4*h(n) + u(n). Factor z(p).
-p**2*(p - 1)*(p + 1)**2
Let c = -230 + 1156/5. Determine y so that -2*y**5 - 4/5*y - c*y**2 + 14/5*y**3 + 6/5*y**4 + 0 = 0.
-1, -2/5, 0, 1
Suppose -17 = -5*m + j, 4*j + 20 = 2*m + 6. Let b be (1 - m)/(4/(-6)). Factor -16/7*d**2 - 4/7 - 2*d - 6/7*d**b.
-2*(d + 1)**2*(3*d + 2)/7
Let l = 20/13 - -155/26. Factor 3/2*b**4 - 11/2*b**3 + l*b**2 - 9/2*b + 1.
(b - 1)**3*(3*b - 2)/2
Suppose h - 1 = j + 1, 0 = -5*j + 2*h + 2. Suppose -m = -4 + j. Factor -y + 13*y**3 + 6*y**4 + 3*y**2 + 4*y**m + 6 - 7.
(y + 1)**2*(2*y + 1)*(3*y - 1)
Let k(v) = -v. Let f be k(-3). Let g(p) = -2 + p**2 - 3*p - 7 + 0 + 5. Let s(m) = m + 1. Let x(a) = f*s(a) + g(a). Factor x(h).
(h - 1)*(h + 1)
Let -2 + 2/3*u**2 + 4/3*u = 0. Calculate u.
-3, 1
Let j(v) be the first derivative of -v**6/24 + v**5/2 - 33*v**4/16 + 10*v**3/3 - 2*v**2 + 12. Suppose j(n) = 0. What is n?
0, 1, 4
Let b be (-18)/45 + ((-658)/(-160))/7. Let v(r) be the first derivative of -2 + 0*r + b*r**4 - 1/8*r**2 + 1/6*r**3. Let v(i) = 0. What is i?
-1, 0, 1/3
Let a(h) = -h**3 - h. Let m(i) = 9*i**3 - 6*i**2 - 6*i. Let x(s) = 6*a(s) - m(s). Find c, given that x(c) = 0.
0, 2/5
Factor -8*k - 35*k + 30 + 8*k - 2*k**3 + 7*k**3.
5*(k - 2)*(k - 1)*(k + 3)
Let a(c) = -c**2 - 6*c - 6. Let l be a(-4). Factor -2*y**l - 3*y + 3*y + 4*y.
-2*y*(y - 2)
Let h = -89/207 - -15/23. Let m = -7981/9 + 889. Find z such that m*z**3 + 10/9*z - 20/9*z**2 - 10/9*z**4 + 2/9*z**5 - h = 0.
1
Let z(k) = 2*k + 3. Let f be z(0). Factor 12/7*i**2 + 20/7*i**4 + 0 - 6/7*i**5 - 24/7*i**f - 2/7*i.
-2*i*(i - 1)**3*(3*i - 1)/7
Suppose 2*d + 8 = 4*d. Factor -36*k**3 - 4*k**2 + 4 - d - 4*k**2 - 28*k**4.
-4*k**2*(k + 1)*(7*k + 2)
Let t be (8/(-42))/(10/(-15)). Suppose -3*k = -0*k, 0 = 2*a + 3*k - 4. Factor -6/7*l - t*l**3 - 2/7 - 6/7*l**a.
-2*(l + 1)**3/7
Find m such that 84/5*m**2 - 40/3*m - 18/5*m**3 - 18/5*m**4 + 16/5 = 0.
-3, 2/3
Let o be 7/((-14)/4) - -4. Let d(i) be the third derivative of -3*i**o + 0*i - 1/18*i**3 + 1/72*i**4 + 0 - 1/360*i**6 + 1/180*i**5. Suppose d(m) = 0. What is m?
-1, 1
Let n = -5 + 7. Factor -2*x**5 + n*x**5 - x**3 - 4*x**5 + 5*x**5.
x**3*(x - 1)*(x + 1)
Let r(y) be the second derivative of 2*y**6/15 + 24*y**5/5 + 118*y**4/3 - 208*y**3 + 338*y**2 + 56*y. Solve r(u) = 0.
-13, 1
Let b(j) be the first derivative of -1/5*j**5 + 3/4*j**4 - 1/3*j**3 + 2*j - 3/2*j**2 - 2. Factor b(p).
-(p - 2)*(p - 1)**2*(p + 1)
Let g(v) be the third derivative of -3*v**2 + 0 + 0*v + 0*v**3 + 1/6*v**4 + 1/30*v**5 - 1/60*v**6. Determine b, given that g(b) = 0.
-1, 0, 2
Let o = -138 - -142. Let p = -114 - -459/4. Factor 1/4*q**2 + 1/4*q**5 + 0 + p*q**o + 0*q + 3/4*q**3.
q**2*(q + 1)**3/4
Let d(i) be the first derivative of -i**4/6 + 8*i**3/3 - 16*i**2 - 2*i + 1. Let x(z) be the first derivative of d(z). Factor x(v).
-2*(v - 4)**2
Suppose -f + 1 + 2 = 0. Suppose -5*m - 16 = -3*b, f*b + 3*m = m + 2. Let c**2 - 2*c**b + 4*c**3 + 0*c**3 = 0. Calculate c.
0, 1/4
Let d be (-208)/(-6)*(-2)/(-24). Let n = 32/9 - d. Factor -2/3*a + 4/3*a**2 + 4/3*a**3 - n*a**4 - 2/3 - 2/3*a**5.
-2*(a - 1)**2*(a + 1)**3/3
Suppose 2/3*i**2 + 0*i + 2*i**4 + 2/3*i**5 + 0 + 2*i**3 = 0. What is i?
-1, 0
Let r = -2 - -12/5. Solve 4/5*t + r - 2/5*t**4 + 0*t**2 - 4/5*t**3 = 0.
-1, 1
Let h(c) be the third derivative of c**8/9240 - c**7/2310 + c**5/330 - c**4/132 + c**3/3 - 3*c**2. Let r(n) be the first derivative of h(n). Factor r(b).
2*(b - 1)**3*(b + 1)/11
Let p(y) = -y**3 - y. Let r(a) = -16*a**3 + 36*a**2 + 144*a. Let n(o) = -36*p(o) + 2*r(o). Find m such that n(m) = 0.
-9, 0
Let 4*f + 2*f**4 - 12*f**2 - 4*f**3 - 1497 + 1505 + 2*f**4 = 0. What is f?
-1, 1, 2
Suppose 0 = -3*v - 3*g + 15, -4*v - 2*g + 6 = -4. Factor v*k + 0*k**2 - 1/4*k**4 + 0 - 1/4*k**3.
-k**3*(k + 1)/4
Let z(t) be the second derivative of 0*t**4 - 3*t**2 + 8*t + 0 + 3/20*t**5 - 3/2*t**3. Let z(v) = 0. Calculate v.
-1, 2
Let t be ((4/110)/1)/((-16)/(-80)). Solve 0 - 2/11*q - t*q**3 - 4/11*q**2 = 0.
-1, 0
Let n(c) be the third derivative of -1/48*c**4 + 0 + 0*c - 3*c**2 + 0*c**3 - 1/120*c**5. Factor n(l).
-l*(l + 1)/2
Let v(p) be the second derivative of p**5/20 + 5*p**4/36 + p**3/9 + 15*p. Factor v(b).
b*(b + 1)*(3*b + 2)/3
Let u(l) = -l**2 - l - 1. Let z(g) = 8*g**2 + 4. Let k(r) = -4*u(r) - z(r). Factor k(t).
-4*t*(t - 1)
Let a(v) be the third derivative of 0*v**3 + 0*v**4 + 0*v - 1/20*v**5 + 0 - 3*v**2 - 1/20*v**6 - 1/70*v**7. Determine h so that a(h) = 0.
-1, 0
Factor 0 - 3/4*k + 3/4*k**2.
3*k*(k - 1)/4
Let p(r) = -r**3 - 5*r**2 + 6*r + 2. Let y be p(-6). Let l = 1 + 1. Factor -y*d**3 - 2*d - l*d**3 + 6*d**3.
2*d*(d - 1)*(d + 1)
Suppose t + 4 = 3*t. Let u(b) be the second derivative of 1/66*b**4 + 0 - 5*b + 2/33*b**3 + 0*b**t. Find l, given that u(l) = 0.
-2, 0
Let 0*n - 3/5*n**2 + 0 - 9/5*n**3 = 0. What is n?
-1/3, 0
Let b(q) = -q**5 + q**2 - q + 1. Let w(j) = -19*j**5 + 4*j**4 + 42*j**3 - 35*j**2 + 3*j + 5. Let f(i) = -5*b(i) + w(i). Find m, given that f(m) = 0.
-2, 0, 2/7, 1
Suppose 357 - 4*t**2 + 3*t**2 - 349 + 8*t + 3*t**2 = 0. What is t?
-2
Let y(z) be the second derivative of 2*z**6/75 - 17*z**5/100 - 2*z**4/15 + 5*z**3/2 - 9*z**2/5 - 28*z. Factor y(d).
(d - 3)**2*(d + 2)*(4*d - 1)/5
Let s(d) be the first derivative of 2*d**3/5 - d**2/5 - 4*d/5 + 2. Factor s(m).
2*(m - 1)*(3*m + 2)/5
Factor 3/2*t**4 + 3/2 - 3*t**2 + 0*t**3 + 0*t.
3*(t - 1)**2*(t + 1)**2/2
Let m(x) = x**2 + 7*x - 2. Let v(w) = -4*w**2 - 34*w + 10. Let o(z) = 28*m(z) + 6*v(z). Let o(c) = 0. What is c?
1
Suppose -g - 1 = -0*g + k, 4*g = -3*k + 1. Suppose -4*l = -2*n + 5 - 1, 0 = -g*l. Factor -1/5*t**5 + 0*t**4 + 0 + 0*t**n + 2/5*t**3 - 1/5*t.
-t*(t - 1)**2*(t + 1)**2/5
Suppose -5*i = i. Let j(y) be the third derivative of 0*y**3 + y**2 + i*y + 0 + 1/24*y**4 - 1/120*y**5. Factor j(z).
-z*(z - 2)/2
Let l(d) be the first derivative of d**5 - 4. What is n in l(n) = 0?
0
Let y(p) be the first derivative of -p**4/10 - 20. Factor y(x).
-2*x**3/5
Let z(y) be the second derivative of -y**8/5040 - y**7/2520 - y**3/6 - 3*y. Let p(s) be the second derivative of z(s). Factor p(i).
-i**3*(i + 1)/3
Determine n so that 3*n**4 + 35*n**3 + 2*n**5 - 35*n**3 + n**5 = 0.
-1, 0
Let q(u) be the third derivative of 3/20*u**6 + 0*u**4 + 0*u - 2*u**2 - 1/30*u**5 + 9/56*u**8 + 0*u**3 - 9/35*u**7 + 0. Suppose q(f) = 0. What is f?
0, 1/3
Suppose -2*k = -5*v + 23 - 5, 3*v - 26 = 5*k. Determine s, given that -2 - 3*s**2 + s + 6*s - 2*s**v = 0.
2/5, 1
Let q = -151/4 + 38. Factor -1/2*f + q*f**2 + 0.
f*(f - 2)/4
Let z(f) be the second derivative of -f**4/108 + f**3/18 - f**2/9 - 11*f. Factor z(s).
-(s - 2)*(s - 1)/9
Let g(t) be the third derivative of 1/10*t**5 + 4*t**2 + 0 - 1/12*t**4 + 1/105*t**7 - 1/20*t**6 + 0*t**3 + 0*t. Factor g(r).
2*r*(r - 1)**3
Let t(k) be the third derivative of k**5/72 - 5*k**3/36 - 11*k**2. Factor t(l).
5*(l - 1)*(l + 1)/6
Let g be 2 - -7*34/(-120). Let n(k) be the second derivative of 0*k**3 + 0*k**2 + 0*k**4 + 0 - 2*k + g*k**6 - 1/40*k**5. Factor n(r).
r**3*(r - 1)/2
Factor 0*w**2 + 0*w + 0 - 1/2*w**3 + 1/2*w**4.
w**3*(w - 1)/2
Let h(w) = -8*w**3 - 21*w**2 - 3*w