et c(j) = -j**5 + j**3 - 16*j**2 - 20*j - 6. Let o(t) = 5*t**5 + 2*t**4 - 4*t**3 + 65*t**2 + 80*t + 23. Let r(a) = 9*c(a) + 2*o(a). Factor r(l).
(l - 2)*(l + 1)**2*(l + 2)**2
Factor 2/3*c**3 + 0*c**4 + 0 - 1/3*c - 1/3*c**5 + 0*c**2.
-c*(c - 1)**2*(c + 1)**2/3
Factor -16/7*v + 0*v**2 + 0 + 4/7*v**3.
4*v*(v - 2)*(v + 2)/7
Let g be 4/(-3)*18/12. Let t = -2/3 - g. Determine a so that 2/3*a + t*a**2 + 0 + 2/3*a**3 = 0.
-1, 0
Let o(x) = -11*x**2 - 7*x - 2. Let b be -3*(26/6 - 1). Let l(h) = -34*h**2 + 2 - 6*h - 8*h - 6*h - 8. Let k(w) = b*o(w) + 3*l(w). Factor k(m).
2*(m + 1)*(4*m + 1)
Find y such that 0 + 1/2*y**5 - y**2 + 0*y**4 - 3/2*y**3 + 0*y = 0.
-1, 0, 2
Solve 1/2*j**2 - 1/4*j + 0*j**3 + 0 - 1/2*j**4 + 1/4*j**5 = 0 for j.
-1, 0, 1
Factor 0 - 28/5*p**2 + 2/5*p**3 + 98/5*p.
2*p*(p - 7)**2/5
Let q(s) be the third derivative of 0*s + 0 + 0*s**5 + 1/840*s**8 + 0*s**3 - 1/525*s**7 + s**2 + 0*s**6 + 0*s**4. Determine y so that q(y) = 0.
0, 1
Let h be ((-9)/(-6))/(6 + (-9)/3). Let 0*r - h*r**2 + 0 + 1/4*r**3 + 1/4*r**4 = 0. Calculate r.
-2, 0, 1
Factor -2/3*k**3 + 0 + 2/3*k - 2/3*k**4 + 2/3*k**2.
-2*k*(k - 1)*(k + 1)**2/3
Let w(s) = s**3 - 5*s**2 + 2. Let t be w(5). Suppose 0*x - 6 = -t*x. Factor -2 + y - y**x + 3 - 2*y**2 + 1.
-(y - 1)*(y + 1)*(y + 2)
Let m(g) be the third derivative of -g**10/75600 + g**8/10080 - g**5/15 + 4*g**2. Let j(h) be the third derivative of m(h). Solve j(d) = 0.
-1, 0, 1
Let d be (-104)/455*(-5)/2. Suppose 2/7*k**2 + d - 6/7*k = 0. What is k?
1, 2
Let q(d) be the second derivative of 1/21*d**7 + 0*d**3 - 2/15*d**6 + 0 + 0*d**4 + 1/10*d**5 + 3*d + 0*d**2. Solve q(i) = 0 for i.
0, 1
Let c(d) be the third derivative of d**6/180 + d**5/45 + 15*d**2. Suppose c(q) = 0. Calculate q.
-2, 0
Solve -98 - 3*x**2 + x - 4*x + 104 = 0 for x.
-2, 1
Let c = -1 + 5. Factor 4 - c*q**2 - 2 + 2*q**2.
-2*(q - 1)*(q + 1)
Let t(l) be the second derivative of l**5/20 + l**4/12 - l**3/3 - 2*l. Factor t(r).
r*(r - 1)*(r + 2)
Suppose -3/2 - 1/2*i**2 - 2*i = 0. What is i?
-3, -1
Let h = -1123/4 + 283. Suppose -17/4*u**2 + 21/4*u**4 + h*u**5 - 1 + 7/4*u**3 - 4*u = 0. Calculate u.
-1, -2/3, 1
Let r = -541/35 + 78/5. Let w(d) be the second derivative of 0 + 0*d**3 + d + 1/42*d**4 - r*d**2. Factor w(l).
2*(l - 1)*(l + 1)/7
Let h(a) be the second derivative of -a**5/10 + a**4/3 + a**3/3 + 3*a. Let c(y) = -y**4 - 3*y**3 + 9*y**2 + 5*y. Let m(w) = 2*c(w) - 5*h(w). Factor m(z).
-2*z**2*(z - 1)**2
Let l(m) be the second derivative of m**5/270 + m**4/18 + m**3/3 + m**2/2 + 2*m. Let z(j) be the first derivative of l(j). Factor z(v).
2*(v + 3)**2/9
Let r(i) be the first derivative of -2*i**3/3 - 2*i**2 - 2*i + 4. Factor r(c).
-2*(c + 1)**2
Let m(u) be the third derivative of u**7/15 - 11*u**6/90 - u**5/6 + u**4/3 + 4*u**3/9 + 16*u**2. What is r in m(r) = 0?
-2/3, -2/7, 1
Let v be 6*-3*20/(-405). Factor -2/3*l**2 - 2/9 - v*l.
-2*(l + 1)*(3*l + 1)/9
Suppose -5*a + 2*s - 10 = 0, a + 2*s = 5 + 5. Suppose 4*d - 3 - 5 = a. Factor -h + 4*h**2 + h**3 + h**4 - d*h**2 - 3*h**2.
h*(h - 1)*(h + 1)**2
Let v(u) be the third derivative of -u**7/70 - 3*u**6/40 - 3*u**5/20 - u**4/8 - 4*u**2 - 10*u. Factor v(w).
-3*w*(w + 1)**3
Let c(z) be the second derivative of z**6/30 - z**5/5 + z**4/6 + 2*z**3/3 - 3*z**2/2 + 25*z. Factor c(k).
(k - 3)*(k - 1)**2*(k + 1)
Let v(f) be the second derivative of f**7/126 + f**6/45 - f**4/18 - f**3/18 + 11*f. Suppose v(j) = 0. What is j?
-1, 0, 1
Let n be (-42)/(-105) - 46/(-10). Solve -2/5*t**n + 2/5*t**2 + 0*t - 2/5*t**4 + 0 + 2/5*t**3 = 0 for t.
-1, 0, 1
Let s be 9/45 + (-28)/(-10). Let 2 - s*t + 2*t**5 - 6*t + 3*t + 4*t**3 - 6*t**4 + 4*t**2 = 0. Calculate t.
-1, 1
Let s = 139 + -335. Let d = s + 1374/7. Solve 0 - d*m + 2/7*m**4 - 6/7*m**3 + 6/7*m**2 = 0 for m.
0, 1
Let s(g) = g**4 - 8*g**3 + 13*g**2 - 9*g + 3. Let k(w) = -w**4 + w**2 - w + 1. Let u(d) = 2*k(d) - 2*s(d). Factor u(p).
-4*(p - 1)**4
Let r(f) be the third derivative of f**6/90 - f**5/45 - 2*f**4/9 + 8*f**3/9 + 33*f**2 + 2*f. Let r(y) = 0. What is y?
-2, 1, 2
Let u(l) be the first derivative of -l**7/70 - l**6/50 + 9*l**5/100 + l**4/4 + l**3/5 - 2*l - 4. Let w(t) be the first derivative of u(t). Factor w(q).
-3*q*(q - 2)*(q + 1)**3/5
Let d(v) be the first derivative of 2*v**5/35 + 3*v**4/7 + 22*v**3/21 + 6*v**2/7 + 45. What is i in d(i) = 0?
-3, -2, -1, 0
Let b(c) = c**3 - 10*c**2 - 11*c + 2. Let x = 3 - -8. Let r be b(x). Let 2/3*m**r - 2/3*m**3 + 2/3*m - 2/3 = 0. What is m?
-1, 1
Let w(k) be the first derivative of 8*k**5/5 - 3*k**4 + 2*k**2 - 21. Find u, given that w(u) = 0.
-1/2, 0, 1
Let j be ((-3)/(-4))/((-1)/(-24)). Suppose -j*z**4 + 2*z**3 + 2*z**3 - 2 + 2 + 14*z**5 = 0. Calculate z.
0, 2/7, 1
Let s(k) be the second derivative of 0*k**4 + 1/40*k**5 + 0 + 0*k**2 + 0*k**3 + 5*k. Factor s(q).
q**3/2
Factor -3/2*q**2 + 0 - 3/2*q.
-3*q*(q + 1)/2
Let f(q) = 2*q**2 - 3*q + 3. Let c be f(2). Suppose 2*v - 9 = 2*n + c, 2*n + 2 = -4*v. Let 2*u**3 + 0*u**2 - 7*u**2 + 8*u - u**v = 0. What is u?
0, 2
Let u be ((-57)/38)/((-1)/6). Suppose u*d - 3*d = 0. What is f in 5/3*f**4 + d + 2/3*f**3 - 7/3*f**5 + 0*f**2 + 0*f = 0?
-2/7, 0, 1
Suppose 16*i + 2 = 2. Let t(l) be the first derivative of 0*l**2 + 1/16*l**4 + 1/6*l**3 - 4 - 1/10*l**5 - 1/24*l**6 + i*l. Solve t(h) = 0.
-2, -1, 0, 1
Let i(s) be the second derivative of 0*s**3 + 0 + 3/100*s**5 - 2*s - 1/20*s**4 + 0*s**2. Factor i(x).
3*x**2*(x - 1)/5
Let r = 7 - 17. Let q be r/(-4)*(-5)/(-25). Factor q*m - 1/2*m**2 + 1.
-(m - 2)*(m + 1)/2
Let s(n) = 11*n - 481. Let t be s(44). Solve -2/5*k**t + 2*k**2 + 6/5 - 14/5*k = 0.
1, 3
Let s(b) be the third derivative of -b**7/4200 - b**6/900 - b**5/600 - b**3/3 - 4*b**2. Let n(p) be the first derivative of s(p). Factor n(d).
-d*(d + 1)**2/5
Let x(q) be the first derivative of -5*q**6/6 + 3*q**5 - 65*q**4/16 + 5*q**3/2 - 5*q**2/8 + 1. Factor x(p).
-5*p*(p - 1)**2*(2*p - 1)**2/4
Find s, given that 8*s - 5*s - 3*s + s**2 = 0.
0
Suppose 0 = h + 94 - 94. Let d(i) be the first derivative of 0*i**2 + h*i**3 - 1/4*i**4 - 4 + 0*i. What is b in d(b) = 0?
0
Solve -2 + 0*v - 28*v**3 - 5*v**2 + v + 30*v**3 + 4 = 0.
-1/2, 1, 2
Let i be 9/6*(-24)/(-9). Suppose i*c + 0*c = 0. Determine g, given that 0*g**2 - 2/7*g + 2/7*g**3 + c = 0.
-1, 0, 1
Let c be 10 + (-30)/(-12)*-4. What is y in 2*y**2 - 4/3*y + c - 10/3*y**5 - 2*y**4 + 14/3*y**3 = 0?
-1, 0, 2/5, 1
Factor 6*g**3 + 2*g**4 - 3*g**4 + 8*g - 187*g**2 + 175*g**2.
-g*(g - 2)**3
Let l(z) be the first derivative of z**4/24 - z**3/12 - 3*z - 1. Let n(i) be the first derivative of l(i). Factor n(c).
c*(c - 1)/2
Let o be 10/(-12) - 776/(-240). Factor 3/5 + o*r + 9/5*r**2.
3*(r + 1)*(3*r + 1)/5
Let q(k) = k + 1. Let u(r) = 3*r + 2. Let b(d) = -11*q(d) + 4*u(d). Let c be b(6). What is p in -9 - p**c + p + 9 = 0?
-1, 0, 1
Let t(v) be the second derivative of -5*v**7/42 + v**6/6 + v**5/4 - 5*v**4/12 + 16*v. Factor t(s).
-5*s**2*(s - 1)**2*(s + 1)
Let d be (-8)/(-3)*-9*(-5)/540. Let c = 7 - 4. Factor -d*l + 2/9*l**c - 2/9 + 2/9*l**2.
2*(l - 1)*(l + 1)**2/9
Let l(g) be the first derivative of g**3 - 9*g**2 + 27*g + 7. Factor l(y).
3*(y - 3)**2
Let d be 4/10 + (-1176)/1140. Let u = -22/95 - d. Factor -4/5*m + 14/5*m**2 - 8/5*m**3 - u.
-2*(m - 1)**2*(4*m + 1)/5
Factor 0*a + 2/13 - 2/13*a**2.
-2*(a - 1)*(a + 1)/13
Solve 0*h**3 + 2/5*h**5 - 2/5*h**4 + 0 + 0*h + 0*h**2 = 0.
0, 1
Suppose -5*m = -2*m - 6. Suppose -m*a + 3*a = 0. Suppose 2/7*c**5 + 0 + 0*c**2 - 2/7*c**3 + a*c**4 + 0*c = 0. Calculate c.
-1, 0, 1
Let a = 145/1162 + 3/166. Factor a*g + 0*g**4 + 0*g**2 + 0 + 1/7*g**5 - 2/7*g**3.
g*(g - 1)**2*(g + 1)**2/7
Let 4/15*n + 2/5*n**4 + 0 + 2/5*n**2 - 16/15*n**3 = 0. What is n?
-1/3, 0, 1, 2
Suppose y - 1 = t, -4*y + 3 + 10 = 5*t. Factor 4/9*z**3 + 16/9 + 32/9*z + 20/9*z**y.
4*(z + 1)*(z + 2)**2/9
Let r(t) be the second derivative of 4*t + 7/15*t**6 - 1/5*t**5 + 2/3*t**3 + 0*t**2 - 7/6*t**4 + 0. Factor r(x).
2*x*(x - 1)*(x + 1)*(7*x - 2)
Let x be (-14)/7 + -3*(-40)/54. Factor 2/9*q**4 + 2/9*q - 2/9*q**2 - x*q**3 + 0.
2*q*(q - 1)**2*(q + 1)/9
Let t(r) be the first derivative of r**8/210 + r**7/140 - r**6/36 - r**5/20 + r**4/12 + 3*r**3 + 2. Let s(l) be the third derivative of t(l). Factor s(h).
2*(h - 1)*(h + 1)**2*(4*h - 1)
Suppose -2*s**2 - 2/3*s**4 + 10/3*s**3 - 6*s + 0 = 0. 