 o*c**3.
-2*c**2*(c - 1)*(4*c - 1)
Suppose 6*l - 4*l = 0. Suppose 0 = 3*b + i - 8, -2*b - 2*i + l*i = -8. Let -b*j**3 + j**2 + 2*j**3 - j**3 = 0. What is j?
0, 1
Let j(s) = 2*s**4 + 5*s**3 - 27*s**2 + 35*s - 13. Let w(c) = -3*c**4 - 11*c**3 + 53*c**2 - 69*c + 27. Let z(h) = 5*j(h) + 3*w(h). Factor z(b).
(b - 2)**4
Determine p so that -4/7 + 2/7*p**2 + 2/7*p = 0.
-2, 1
Let o(t) = 2*t**5 + t**4 + 7*t**3 + 9*t**2 - 9*t - 5. Let k(r) = -r**5 - 7*r**3 - 8*r**2 + 8*r + 4. Let m(n) = -5*k(n) - 4*o(n). Let m(f) = 0. What is f?
-2, -1, 0, 2/3, 1
Let i be 6/2 + 0/7. Let g(t) be the second derivative of t + 0*t**4 - 1/40*t**5 + 1/12*t**i + 0*t**2 + 0. Factor g(r).
-r*(r - 1)*(r + 1)/2
Let v(w) = 2*w - 5. Let a = -3 - -8. Let i be v(a). Factor 0*u**2 - u**i + 2*u**4 + 0*u**2 - u**3.
-u**3*(u - 1)**2
Let i(v) = -v + 1. Let k be i(-1). Suppose -y = 3*y - 20. Find n, given that -3*n**4 - 3*n**5 + n + 5*n**4 + 2*n**y - k*n**2 = 0.
-1, 0, 1
Let t(w) be the second derivative of -w**4/6 + 5*w**3/3 + 3*w. Let z be t(5). Suppose z - p + 5/2*p**2 - 5/2*p**4 + p**3 = 0. Calculate p.
-1, 0, 2/5, 1
Suppose 4*n - 21 = i - 0*i, n = -5*i - 21. Let v(q) be the third derivative of 0*q**3 + 1/48*q**n + 0 - 1/120*q**5 + 2*q**2 + 0*q. Let v(u) = 0. What is u?
0, 1
Factor -3*m**5 + 2*m**4 - 9*m**3 + 0*m**4 - 3*m**2 - 11*m**4.
-3*m**2*(m + 1)**3
Let i(x) be the third derivative of -x**7/2100 - x**6/300 - x**5/150 - x**3/2 + 2*x**2. Let t(q) be the first derivative of i(q). Factor t(c).
-2*c*(c + 1)*(c + 2)/5
Let k(g) = g - 1. Let w be k(1). Let r = w - -2. Factor 2 - r - m + m**2 - m.
m*(m - 2)
Factor 8*x**3 - 4*x**4 - 13*x**2 + x**2 + 8*x**2.
-4*x**2*(x - 1)**2
Let s(l) = 4*l**3 - 59*l**2 - 150*l - 72. Let u(c) = 4*c**3 - 60*c**2 - 148*c - 72. Let f(r) = 4*s(r) - 5*u(r). Factor f(a).
-4*(a - 18)*(a + 1)**2
Let x(l) = -l**3 + 7*l**2 - 6*l + 12. Let j be x(6). Let r be 3 + -1*j/8. Suppose 5/2*u + r*u**2 + 1 = 0. What is u?
-1, -2/3
Suppose 2*k = 2*u + k - 1, -3*k = 15. Let c be u/(-3) + 20/(-75). Find a such that c*a + 0 - 2/5*a**2 = 0.
0, 1
Let n(y) be the second derivative of -y**4/4 - y**3/2 + 9*y**2 - 4*y. Let n(r) = 0. Calculate r.
-3, 2
Suppose 21*t**4 + 11*t**2 + 2*t + 7*t**3 + 3*t**5 - 8*t**4 + 12*t**3 = 0. What is t?
-2, -1, -1/3, 0
Let r(g) be the first derivative of 0*g**2 - 1 + 0*g**3 - 1/4*g**4 + 0*g + 1/5*g**5. Solve r(z) = 0 for z.
0, 1
Let l(g) be the first derivative of -g**4/6 + 2*g**3/9 + 50. Factor l(r).
-2*r**2*(r - 1)/3
Let f(h) be the third derivative of -h**5/90 - 6*h**2. Suppose f(r) = 0. Calculate r.
0
Let x be 1/3 - 1*(-6)/(-54). Factor -2/9*o + 0 - x*o**2.
-2*o*(o + 1)/9
Let x(b) be the second derivative of b**9/7560 + b**8/4200 - b**7/2100 - b**6/900 + b**3/6 - b. Let t(s) be the second derivative of x(s). Factor t(y).
2*y**2*(y - 1)*(y + 1)**2/5
Suppose 3*l + 2*l = 10. Suppose 2*i + 0 + 6 = 5*t, 14 = 3*i + 4*t. Find z, given that -2*z**4 - l*z**3 - i*z**4 + 6*z**4 = 0.
0, 1
Let w(t) be the third derivative of t**8/1344 - t**7/280 + t**6/240 + t**5/120 - t**4/32 + t**3/24 - 14*t**2. Factor w(g).
(g - 1)**4*(g + 1)/4
Let y(q) = q**2 - q - 1. Let m(l) = -4*l**2 + 9*l + 9. Let b(z) = m(z) + 5*y(z). Solve b(k) = 0.
-2
Solve 3*t**4 - 2*t**4 + t**3 + 3*t**4 - 5*t**4 = 0 for t.
0, 1
Factor 6/7*i**5 + 0 + 12/7*i**3 - 16/7*i**4 + 0*i**2 - 2/7*i.
2*i*(i - 1)**3*(3*i + 1)/7
Let m be 3 + 0/2 - -2. Suppose 2 + 4*o**4 - m*o**4 + 2*o**2 - 3 = 0. Calculate o.
-1, 1
Let t(k) be the third derivative of k**5/30 - k**4/6 + k**3/3 + 4*k**2. Suppose t(n) = 0. Calculate n.
1
Factor -7*r**3 - 9*r**2 + 3*r**2 - 5*r**3 + 9*r + 3*r**5 + 6.
3*(r - 2)*(r - 1)*(r + 1)**3
Let o = 193/3 - 64. Factor -4/3 + a**2 - 4/3*a - o*a**4 + 2/3*a**3.
-(a - 2)**2*(a + 1)**2/3
Let s(d) be the third derivative of -d**5/80 + d**4/24 + d**3/6 - 31*d**2. Factor s(c).
-(c - 2)*(3*c + 2)/4
Let k(f) be the second derivative of -f**6/3 + 67*f**5/60 - 7*f**4/6 + f**3/6 + f**2/3 - 4*f. Determine w so that k(w) = 0.
-1/6, 2/5, 1
Let o(u) be the second derivative of -1/15*u**5 + u + 0*u**3 + 0 + 0*u**2 - 1/45*u**6 - 1/18*u**4. Determine j so that o(j) = 0.
-1, 0
Suppose -r + 0*z = 4*z - 19, 4*r + 8 = 5*z. Let c(f) be the second derivative of -f + 0*f**2 - 1/42*f**4 + 1/21*f**r + 0. What is d in c(d) = 0?
0, 1
Let v(s) be the third derivative of s**8/630 - s**7/420 - s**6/540 + s**3/6 - s**2. Let l(w) be the first derivative of v(w). Find k such that l(k) = 0.
-1/4, 0, 1
Let y(o) be the first derivative of 2*o**5/5 - 3*o**4/2 + 4*o**2 - 11. Factor y(n).
2*n*(n - 2)**2*(n + 1)
Let u(q) be the first derivative of -1/2*q**6 - 1/2*q**2 + q**4 - 2*q - 4/5*q**5 - 1 + 2*q**3. Let u(w) = 0. What is w?
-1, 2/3, 1
Let j(y) be the third derivative of -y**9/7560 + y**7/1260 - y**4/8 + 3*y**2. Let l(z) be the second derivative of j(z). Factor l(k).
-2*k**2*(k - 1)*(k + 1)
Let q(s) be the first derivative of -s**6/120 - s**5/180 + s**4/36 - 3*s**2 + 3. Let o(h) be the second derivative of q(h). Factor o(w).
-w*(w + 1)*(3*w - 2)/3
Let a(j) be the second derivative of -j**10/10080 - j**9/5040 + j**8/1120 - j**4/3 + j. Let v(l) be the third derivative of a(l). Let v(o) = 0. Calculate o.
-2, 0, 1
Let t = 16 - 12. Suppose 4*s + 10 = -2*y, 0 = 3*s - s - t*y - 20. Find i such that 0*i - 4/3*i**3 - 2/3*i**2 + s - 2/3*i**4 = 0.
-1, 0
Let b be ((-3)/(-6) - 2)/(-3). Suppose -3*n - 4 + 19 = 0. Find i such that 1/4*i + 1/4*i**n + 1/4*i**4 - b*i**2 + 1/4 - 1/2*i**3 = 0.
-1, 1
Let m(l) = -25*l + 10. Let q be m(4). Let w be 1 + -1 + q/(-5). Determine t, given that -8*t**3 - 32*t**4 + w*t**2 - 11/2*t + 1/2 = 0.
-1, 1/4
Let g(p) = -3*p**2 + 2*p - 7. Let d(v) = -4*v**2 + 3*v - 8. Let b(k) = -4*d(k) + 5*g(k). Factor b(m).
(m - 3)*(m + 1)
Let l(s) be the first derivative of -2 - 1/10*s**4 + 0*s - 2/15*s**3 + 1/5*s**2 + 2/25*s**5. Factor l(y).
2*y*(y - 1)**2*(y + 1)/5
Let y(d) be the first derivative of -d**6/165 - 3*d**5/55 - 13*d**4/66 - 4*d**3/11 - 4*d**2/11 + 2*d + 1. Let x(k) be the first derivative of y(k). Factor x(j).
-2*(j + 1)**2*(j + 2)**2/11
Suppose 6*q + 47 = 47. Factor -2/3*x**4 + 2/3*x**2 + q - 2/3*x + 2/3*x**3.
-2*x*(x - 1)**2*(x + 1)/3
Let w(u) be the third derivative of -u**8/20160 + u**7/10080 + u**6/1440 - u**5/30 - 3*u**2. Let n(h) be the third derivative of w(h). Factor n(i).
-(i - 1)*(2*i + 1)/2
Let x be 14/(-84) - (2 - 31/6). Let w(n) be the second derivative of -n - 1/5*n**2 + 0 - 1/30*n**4 + 2/15*n**x. Factor w(m).
-2*(m - 1)**2/5
Let v(h) be the second derivative of h**4/21 + 8*h**3/21 + 6*h**2/7 - 9*h + 1. Suppose v(f) = 0. What is f?
-3, -1
Let r(h) = 3*h**2 - 1. Let c(l) = 7*l**2 - l - 1. Let d(o) = -2*c(o) + 5*r(o). Let g(p) = -3*p**2 - 5*p + 8. Let y(v) = -11*d(v) - 4*g(v). Factor y(s).
(s - 1)**2
Let f(m) be the third derivative of 9*m**8/560 - 3*m**7/280 - m**6/24 - m**5/40 - m**3/6 - 4*m**2. Let h(o) be the first derivative of f(o). Factor h(q).
3*q*(q - 1)*(3*q + 1)**2
Let v(d) be the second derivative of d**5/15 - d**4/6 + d**2/3 + 14*d. Let v(r) = 0. Calculate r.
-1/2, 1
Let b = 1 + -1/2. Factor -y**2 + y**4 - b*y + 0*y**3 + 1/2*y**5 + 0.
y*(y - 1)*(y + 1)**3/2
Let -18/5 - 2/5*k**2 - 12/5*k = 0. What is k?
-3
Solve 1/2*c**2 + 1/6*c**3 - 1/6*c - 1/6*c**4 - 1/3 = 0 for c.
-1, 1, 2
Suppose 0 = 32*y - 33*y. Let c(b) be the third derivative of y*b**4 - 1/20*b**5 + 0*b**3 + 4*b**2 + 0*b - 1/70*b**7 + 0 - 1/20*b**6. Factor c(k).
-3*k**2*(k + 1)**2
Let z(t) be the second derivative of -t**5/60 + t**4/24 - 3*t**2/2 + 3*t. Let s(j) be the first derivative of z(j). Let s(c) = 0. Calculate c.
0, 1
Let h(u) = u - 9. Let o be h(11). Solve b - o*b**4 + 4*b**4 - 3*b - 2*b**2 - 3*b**3 + 5*b**3 = 0 for b.
-1, 0, 1
Let c(t) be the second derivative of t**5/20 + 3*t**4/4 + 2*t**3 - 9*t**2/2 - 3*t. Let n(y) = -2*y**2 - 3*y + 2. Let a(f) = -6*c(f) - 26*n(f). Factor a(j).
-2*(j - 1)*(j + 1)*(3*j + 1)
Let w(u) = u**2 - u - 4. Let r be w(3). Let h(b) be the second derivative of -1/40*b**5 - r*b + 0*b**2 + 0 - 1/12*b**4 + 0*b**3. Let h(f) = 0. Calculate f.
-2, 0
Let o(b) be the third derivative of -b**9/30240 + b**7/5040 - b**4/12 + b**2. Let x(t) be the second derivative of o(t). Factor x(n).
-n**2*(n - 1)*(n + 1)/2
Let i(g) be the second derivative of -g**7/4200 + g**6/900 + g**3/3 + g. Let p(r) be the second derivative of 