4*y**3 + y - y.
2*y*(y - 1)*(y + 1)
Suppose -2*d = -4*d - 4. Let l be 66/14 - d/7. Solve -j + 2*j**4 + j**2 - 3*j**2 + 0*j + j**l = 0 for j.
-1, 0, 1
Find v such that 6/7*v**2 - 6/7*v + 2/7 - 2/7*v**3 = 0.
1
Factor -3/8*y**2 - 1/8*y**3 + 0 + 0*y.
-y**2*(y + 3)/8
Let u(z) be the third derivative of -z**6/204 + 7*z**5/510 - z**4/102 - 17*z**2. Factor u(c).
-2*c*(c - 1)*(5*c - 2)/17
Let i(f) be the first derivative of -f**3/18 - f**2/2 - 3*f/2 - 5. Factor i(l).
-(l + 3)**2/6
Let d(p) be the first derivative of -3*p**4/4 + 3*p**2/2 - 7. Find c, given that d(c) = 0.
-1, 0, 1
Let p(f) be the second derivative of 0*f**6 + 0*f**3 + 0 + 0*f**4 + 0*f**2 + f - 1/70*f**5 + 1/147*f**7. Find l such that p(l) = 0.
-1, 0, 1
Let a = 10 + -7. Let q = 6 - a. Suppose -4*l + 5*l**q + 16*l**4 - 2*l**4 - 14*l**2 - l**3 = 0. What is l?
-1, -2/7, 0, 1
Let v(y) = -3*y**3 + 2*y**2. Let t = -7 + 16. Let r = 5 - t. Let q(n) = -2*n**3 + 2*n**2. Let z(x) = r*v(x) + 5*q(x). Factor z(u).
2*u**2*(u + 1)
Factor 1/5 + 1/5*a**2 + 2/5*a.
(a + 1)**2/5
Let u(o) = -o**3 + o**2 - o. Let q(r) = 2*r**4 + 8*r**3 - 10*r**2 + 8*r. Let l(m) = -q(m) - 8*u(m). Determine a, given that l(a) = 0.
-1, 0, 1
Factor -10/9*d + 2/9*d**2 + 8/9.
2*(d - 4)*(d - 1)/9
Let s(i) be the second derivative of -3*i - 1/3*i**4 + 0 + 1/3*i**3 + 0*i**2 + 0*i**5 - 1/21*i**7 + 2/15*i**6. Factor s(g).
-2*g*(g - 1)**3*(g + 1)
Solve -20218 - 7502 + 1280*s**3 - 109*s**4 - 37816 + 2*s**5 + 40960*s - 10240*s**2 + 29*s**4 = 0 for s.
8
Let o(r) be the third derivative of r**6/90 + r**5/30 + r**4/36 - 2*r**2 - 3*r. Factor o(z).
2*z*(z + 1)*(2*z + 1)/3
Let r(h) be the first derivative of 2*h**5/35 - h**4/14 - 4*h**3/21 - 10. Factor r(m).
2*m**2*(m - 2)*(m + 1)/7
Let n = -6674/7 + 956. What is s in 8/7*s + 0 + 0*s**2 - n*s**3 + 4/7*s**4 + 6/7*s**5 = 0?
-2, -2/3, 0, 1
Let o(b) be the first derivative of -3*b**5/10 - 9*b**4/4 - 13*b**3/2 - 9*b**2 - 6*b + 3. Determine p, given that o(p) = 0.
-2, -1
Let m(d) be the second derivative of d**5/30 + 2*d**4/9 - d**3/9 - 4*d**2/3 + d. Determine b so that m(b) = 0.
-4, -1, 1
Let r = 13/14 + -3/7. Let c = 79 - 77. Factor -1/4*y**c - 1/4 - r*y.
-(y + 1)**2/4
Let h be ((-1)/(-5))/((-72)/(-90)). Find u, given that -h*u**3 - 1/2*u - 3/4*u**2 + 0 = 0.
-2, -1, 0
Suppose -z - v + 10 = 0, -2*z + 0 = -4*v + 10. Let -1/4*l - l**4 - l**2 - 3/2*l**3 - 1/4*l**z + 0 = 0. What is l?
-1, 0
Let c(w) = 9*w**2 + 21*w + 24. Let p(h) = 2*h**2 + 4*h + 5. Let v(a) = 5*c(a) - 24*p(a). Factor v(b).
-3*b*(b - 3)
Let x(s) be the third derivative of -s**6/200 + s**4/40 - 2*s**2. Find v, given that x(v) = 0.
-1, 0, 1
Suppose -m + 5 = -u, 2*m = m - 5*u + 11. Let g(h) be the first derivative of 0*h + 1/9*h**m - 1/6*h**4 + 2/9*h**3 + 0*h**2 - 2/15*h**5 + 1. Factor g(r).
2*r**2*(r - 1)**2*(r + 1)/3
Let o be (-48)/(-9) + 6/(-2). Suppose 2*p - 30 = -3*p + 5*a, 3*p - 12 = a. Factor p*h**2 - o*h - 2/3.
(h - 1)*(9*h + 2)/3
Let z be 1*(-4 + 3) + 1. Solve 1/6*c**3 + 0 - 1/3*c**2 + z*c = 0.
0, 2
Let y(w) be the third derivative of w**6/120 + w**5/20 - w**4/6 + 2*w**2 + 14*w. Solve y(q) = 0.
-4, 0, 1
Suppose -f - 5*f = -12. Factor -3/4*a**f + 3/4 + 0*a.
-3*(a - 1)*(a + 1)/4
Let c(n) = 37*n**2. Let m be c(1). Let k = m - 35. Factor -1/3*a + 0 - 1/3*a**k.
-a*(a + 1)/3
Let o = 1352/9 + -150. Let n(g) be the second derivative of 0 + 0*g**2 + g + o*g**3 - 1/18*g**4. Let n(q) = 0. What is q?
0, 2
Let m(x) be the second derivative of 23/80*x**5 - 7/24*x**3 - 7/48*x**4 - 6*x + 0 - 1/8*x**2 + 1/15*x**6 - 2/21*x**7. Let m(v) = 0. Calculate v.
-1, -1/4, 1
Let d = -8 - -22. Factor 0 - 27*b**2 - 6 + d*b**3 + 5*b**3 + 21*b - 4*b**3 - 3*b**4.
-3*(b - 2)*(b - 1)**3
Let a(g) be the third derivative of 3*g**2 + 0*g + 0 + 0*g**4 + 0*g**3 - 1/30*g**5. Find o, given that a(o) = 0.
0
Suppose -3*j + 3 = -6*j. Let r be ((-6)/18)/(j/6). Let -4*t**2 + 14*t + 5*t**3 - 19*t**3 + 6 - r = 0. What is t?
-1, -2/7, 1
Let a be 21/35*(-16)/(-8). Let y be (-4)/6 - (-44)/30. Factor -y*x**2 + a*x - 2/5*x**5 + 6/5*x**4 - 4/5*x**3 - 2/5.
-2*(x - 1)**4*(x + 1)/5
Solve -5*s + 6*s**4 - 3*s + 10*s**3 - 2*s**2 - 6*s**2 = 0 for s.
-2, -2/3, 0, 1
Factor -6*p**2 + 0*p**2 + 2*p**2 + p - 9*p.
-4*p*(p + 2)
Let c(a) = -3*a**2 + 2*a. Let t = 13 + -4. Let q(d) = 13*d**2 - 9*d. Let b(w) = t*c(w) + 2*q(w). Factor b(f).
-f**2
Let r(i) = -3*i - 3. Let j be r(-2). Suppose 0 = -t + j - 1. Determine f, given that -1/3*f**5 - 2/3*f**3 - f**4 + 2/3*f**t + 1/3 + f = 0.
-1, 1
Let h(z) = 35*z - 2. Let o be h(1). Let v be (-1 + o/27)/1. Factor -8/9 - v*n**2 + 8/9*n.
-2*(n - 2)**2/9
Let o(w) = -7*w**2 + 68*w - 578. Let g(i) = 6*i**2 - 68*i + 578. Let c(u) = -5*g(u) - 4*o(u). Solve c(b) = 0.
17
Let v(m) be the first derivative of m**4/9 - 32*m**3/27 + 32*m**2/9 + 5. Factor v(t).
4*t*(t - 4)**2/9
Let i(c) be the third derivative of c**5/120 - 2*c**2. Factor i(h).
h**2/2
Let w(r) be the first derivative of -2*r**3/21 + 6*r**2/7 - 18*r/7 + 6. Factor w(j).
-2*(j - 3)**2/7
Solve 2*f**2 - 84*f + 741 - 308 + 449 = 0 for f.
21
Let n be 4/2 - -1*2. Let -4*d - 11*d**3 - 9*d**2 - 5*d**4 + d**n + 0*d**3 + 1 + 3*d = 0. What is d?
-1, 1/4
Let i(p) be the second derivative of -p**6/75 + p**5/25 - p**4/30 - 7*p. Factor i(h).
-2*h**2*(h - 1)**2/5
Let v(a) be the first derivative of -a**4/10 - 2*a**3/3 - 3*a**2/5 + 18*a/5 + 8. Factor v(h).
-2*(h - 1)*(h + 3)**2/5
Let x(f) be the first derivative of f**4/48 + f**3/24 - f + 1. Let h(n) be the first derivative of x(n). Factor h(w).
w*(w + 1)/4
Let n be 2*(2 + -3)*-2. Let t(s) be the first derivative of -1/2*s - 7/8*s**2 + 1/6*s**3 + 7/16*s**4 + n. Find v, given that t(v) = 0.
-1, -2/7, 1
Let n(a) be the third derivative of -a**5/90 + a**3/9 - 4*a**2. Suppose n(h) = 0. Calculate h.
-1, 1
Let s(f) be the first derivative of f**4/2 - 6*f**3/7 - 12*f**2/7 + 8*f/7 - 3. Factor s(l).
2*(l - 2)*(l + 1)*(7*l - 2)/7
Suppose -8 = -4*w + 4. Let b(y) be the first derivative of -2/9*y**w - 1/6*y**2 + 0*y + 1 - 1/12*y**4. Let b(g) = 0. Calculate g.
-1, 0
Let v(o) be the third derivative of -o**8/224 - 3*o**7/140 + o**6/80 + 7*o**5/40 - o**3 + 22*o**2. Find t such that v(t) = 0.
-2, -1, 1
Let 12*j**4 + 15*j**4 + 3*j**5 + 2*j**2 - 35*j**4 + 3*j**3 = 0. What is j?
-1/3, 0, 1, 2
Let g(r) be the second derivative of r**4/36 + r**3/6 - 2*r + 2. Factor g(h).
h*(h + 3)/3
Suppose 2*q - 6 = -r, 0*q - q = -r. Suppose -7*p**3 - 3*p**2 + p**3 + 2*p**2 - 3*p**r - 14*p**5 + 24*p**4 = 0. What is p?
-2/7, 0, 1
Let x = 4399 - 13789/3. Let b = x - -200. Factor 2/3 + b*v**3 + 8/3*v + 4*v**2 + 2/3*v**4.
2*(v + 1)**4/3
Let g be 140/15*(-9)/(-6). Suppose 0 = -4*z + 2*i + g - 4, 0 = -3*i + 3. Factor 1/3*a**z + a**2 + 0 + 2/3*a.
a*(a + 1)*(a + 2)/3
Let p be 7 + 34/(-4) + 2. Factor c + 0 + p*c**2.
c*(c + 2)/2
Let s = 5 - 1. Let d be s/((-48)/33) + 3. Suppose 1/2*m**3 + 0 + 0*m - 1/4*m**4 - d*m**2 = 0. Calculate m.
0, 1
Let l(g) be the third derivative of -g**7/1890 + g**5/540 + g**2. Let l(w) = 0. Calculate w.
-1, 0, 1
Let m(d) be the third derivative of 0*d + 0*d**4 - d**2 - 1/840*d**7 + 0 + 1/240*d**5 + 0*d**6 + 0*d**3. Let m(t) = 0. What is t?
-1, 0, 1
Let j = 29 + -23. Let b(z) be the third derivative of 1/210*z**7 + 0*z**j + 0 + 0*z**5 + 0*z**4 + 0*z**3 + 2*z**2 + 0*z. Factor b(m).
m**4
Solve 83*v**2 - 42*v**2 - 5*v**3 - 46*v**2 + 10*v = 0.
-2, 0, 1
Suppose -58*w**2 + 1/5*w**5 - 25 - 17/5*w**4 + 106/5*w**3 + 65*w = 0. What is w?
1, 5
Suppose -4*b - b + 20 = 0. Factor -h**5 - 4*h**3 + 4*h**5 - 3*h**b + 4*h**3.
3*h**4*(h - 1)
Let h be (-5)/2*(-8)/5. Suppose 2*o + 8 = -0, -3*x + h*o + 22 = 0. Find z, given that 0*z - z + 3*z - x*z**2 = 0.
0, 1
Let k be 112/(-6)*21/14. Let v be ((-8)/k)/((-18)/(-14)). Factor -8/9*a + v*a**2 + 8/9.
2*(a - 2)**2/9
Let f(y) be the second derivative of -y**6/80 + y**4/16 - 3*y**2/16 + 10*y. Factor f(c).
-3*(c - 1)**2*(c + 1)**2/8
Suppose 2*u - 50 = -2*q - 2*u, 5*q - 170 = 5*u. Suppose -9*n + q = -5. Factor 0 - 4/13*o**3 - 2/13*o**2 + 4/13*o + 2/13*o**n.
2*o*(o - 2)*(o - 1)*(o + 1)/13
Suppose 4 + 4 - 2*p**2 - 570*p + 0*p**2 + 564*p = 0. Calculate p.
-4, 1
Solve 15/4*f**3 + 0 + 12*f**4 + 27/4*f**5 + 0*f - 3/2*f**2 = 0 for f.
-1, 0, 2/9
Let q = 1515/7 - 216. Let x(y) be the first derivative of -4/21*y**3 - 2/7*y + q*y**2 + 2. Determine a so that x(a) = 0.
1/2, 1
Let q(c) be th