 o.
-1, 0
Let r(j) = -10*j**2 + 10*j**2 - j + 2 - j**2. Let v(u) = -u**2 - u + 1. Let a(p) = -r(p) + 2*v(p). Factor a(l).
-l*(l + 1)
Let x(w) be the second derivative of 0*w**5 + 1/15*w**6 - 1/3*w**4 + 0*w**3 + w**2 + 0 + w. Find o such that x(o) = 0.
-1, 1
Let i(g) be the first derivative of 4 + 0*g**2 + 0*g**3 - 2/15*g**5 + 1/6*g**4 + 0*g. Let i(w) = 0. Calculate w.
0, 1
Let i(p) = p**2 - 4*p - 8. Let v be i(6). Factor -2*t + 5 - 11 + t**5 + t**3 - 3*t**2 + 6 + 3*t**v.
t*(t - 1)*(t + 1)**2*(t + 2)
Let w(v) = -v + 7. Let i be w(-5). Suppose 0 = -m - 3*m + i. Find s, given that -3*s**m + s**3 + 0*s**3 + s**4 = 0.
0, 2
Let j(d) = -d**2 + d - 1. Let k(o) = -6*o**2 - 9*o - 15. Let u(w) = 3*j(w) - k(w). Factor u(q).
3*(q + 2)**2
Let q(b) be the third derivative of 0*b - 1/60*b**6 + 0 + 1/105*b**7 + 2*b**2 + 0*b**3 + 0*b**4 + 0*b**5. Factor q(y).
2*y**3*(y - 1)
Suppose -2*o - 3*o = -70. Suppose 4*a - 6*a = -3*i - 14, -a = -5*i - o. Find h, given that 2/3*h**a + 2/3*h**2 + 4/3*h**3 + 0*h + 0 = 0.
-1, 0
Suppose 0 = -4*p - 16 + 36. Let w be ((-7)/(-15))/(p/15). Factor -2/5 + 2/5*b**2 + 7/5*b**3 - w*b.
(b - 1)*(b + 1)*(7*b + 2)/5
Let n(o) = 2*o - 6. Let x be n(4). Factor 0*v**2 - 5*v - v - 2*v**x + 4*v**2.
2*v*(v - 3)
Let m(z) be the third derivative of z**6/40 - 9*z**5/20 + 15*z**4/8 + 25*z**3/2 - 6*z**2. Determine v so that m(v) = 0.
-1, 5
Let i = 28 - 25. Let u(h) be the third derivative of -1/108*h**4 + 0*h**i + h**2 + 0*h - 1/135*h**5 - 1/540*h**6 + 0. Determine p, given that u(p) = 0.
-1, 0
Let -1 + 1/5*y**2 - 4/5*y = 0. What is y?
-1, 5
Let m(z) be the second derivative of -1/21*z**4 + z + 0*z**3 + 0*z**5 + 0 + 1/7*z**2 + 1/105*z**6. Factor m(b).
2*(b - 1)**2*(b + 1)**2/7
Let u = 0 + 4. What is y in 2*y + 4*y - u*y - 3*y + y**2 = 0?
0, 1
Let d = 2711/9 - 301. Let -2/9*i + d*i**3 + 4/9 - 4/9*i**2 = 0. What is i?
-1, 1, 2
Suppose -2*k + 9 = -1. Suppose -3*p = -4*l - 4, 2*p = -2*p - k*l + 26. What is t in 4/11 - 36/11*t**p + 6/11*t - 16/11*t**2 - 10/11*t**5 - 4*t**3 = 0?
-1, 2/5
Let n be 7/9 - (-10)/(-15). Let i(f) be the third derivative of f**2 - n*f**3 + 0*f + 0*f**4 + 0 + 1/90*f**5. Factor i(b).
2*(b - 1)*(b + 1)/3
Factor -4/11*x**3 + 2/11 - 2/11*x**4 + 4/11*x + 0*x**2.
-2*(x - 1)*(x + 1)**3/11
Let k(v) be the first derivative of -1/14*v**4 + 0*v**2 + 0*v + 5 - 4/21*v**3. Factor k(m).
-2*m**2*(m + 2)/7
Let 0 - 6/11*o + 8/11*o**2 - 2/11*o**3 = 0. Calculate o.
0, 1, 3
Let r(t) be the third derivative of -t**10/453600 + t**9/60480 - t**8/30240 + 2*t**5/15 + 7*t**2. Let i(m) be the third derivative of r(m). Factor i(b).
-b**2*(b - 2)*(b - 1)/3
Solve -1 - 27*w - 4*w**3 - 18*w**4 - 26*w**3 - 5 - 48*w**2 - 3*w**5 - 12*w**3 = 0.
-2, -1
Suppose 3/5*n + 0 + 3/5*n**4 + 9/5*n**3 + 9/5*n**2 = 0. What is n?
-1, 0
Let p(w) be the second derivative of -w**5/8 + 5*w**4/12 + 5*w**3/4 + 13*w. Determine l so that p(l) = 0.
-1, 0, 3
Let r(m) be the first derivative of 3*m**5/25 + 3*m**4/10 + m**3/5 - 2. Solve r(n) = 0 for n.
-1, 0
Let c(y) = -10*y**3 + 64*y**2 + 14. Let s(d) = -2*d**3 + 13*d**2 + 3. Let u(x) = 6*c(x) - 28*s(x). Determine t, given that u(t) = 0.
0, 5
Suppose 6*p + 4*l + 8 = 2*p, 0 = 4*p - 5*l - 28. Let t be 10/5 + (0 - -1). Factor 2*m**3 - 4*m**3 - 2*m**t + 6*m**p - 2*m.
-2*m*(m - 1)*(2*m - 1)
Suppose p = 1, 5*p - 11 - 2 = -2*q. Let m(z) be the second derivative of -1/8*z**2 + 4*z + 0 + 0*z**3 + 1/48*z**q. Factor m(s).
(s - 1)*(s + 1)/4
Let c(k) be the second derivative of k**4/24 + k**3/4 - k**2 + 17*k. Determine w so that c(w) = 0.
-4, 1
Let p(t) be the third derivative of t**5/90 + t**4/9 + 4*t**3/9 + 12*t**2. Factor p(b).
2*(b + 2)**2/3
Suppose -2/15*p**3 + 0*p + 4/15*p**2 + 0 = 0. What is p?
0, 2
Let s(x) be the first derivative of 3*x**5 + 1/2*x**6 + 10*x**3 + 3*x + 4 + 15/2*x**4 + 15/2*x**2. Find i such that s(i) = 0.
-1
Suppose 0 = 5*l + 8 + 7, 0 = -4*m + 4*l + 40. Let z(g) = g**2 - 7*g + 2. Let u be z(m). Factor -2*h - 1 - 5/4*h**u - 1/4*h**3.
-(h + 1)*(h + 2)**2/4
Factor -2*q**4 + q**3 - 3*q**3 - 15*q + 15*q.
-2*q**3*(q + 1)
Let q be 2 + (-45)/20 + (-45)/(-84). Factor 2/7*x**2 + 0*x - q.
2*(x - 1)*(x + 1)/7
Let m(z) be the third derivative of -5/48*z**8 + 0*z + 0 + 119/60*z**5 + 2/3*z**3 + 43/70*z**7 - 181/120*z**6 + 4*z**2 - 3/2*z**4. Suppose m(g) = 0. What is g?
2/7, 2/5, 1
Let p = -119/6 + 20. Let y(k) be the first derivative of -2/5*k**5 + 0*k - 1/2*k**2 + 2 + 2/3*k**3 + 0*k**4 + p*k**6. Determine u, given that y(u) = 0.
-1, 0, 1
Factor 103*m**2 + 4*m**4 + 0*m**3 + 0*m + 8 - 4*m - 115*m**2 + 4*m**3.
4*(m - 1)**2*(m + 1)*(m + 2)
Let o be (-3)/(-15) - (-12)/(-100). Let h(y) be the first derivative of -o*y**5 - 1 + 4/15*y**3 + 0*y**2 + 0*y**4 - 2/5*y. Factor h(p).
-2*(p - 1)**2*(p + 1)**2/5
Suppose 0 = -4271*m + 4268*m. Factor -2/3*o**2 + 0 + m*o + 1/3*o**3.
o**2*(o - 2)/3
Suppose 0 = -v + 5*q - 21, 5*v + 36 = v + 4*q. Let h = 9 + v. Factor -3*i**5 - 2 + 11*i**4 - 4*i**h + i**5 - 5*i**4 + 6*i - 4*i**2.
-2*(i - 1)**4*(i + 1)
Find i, given that 12 + i - 3*i**2 - 3*i + 3*i + 8*i = 0.
-1, 4
Let v(x) = 4*x**2 - 2*x - 8. Let j(m) = -m. Let p(q) = 2*j(q) + v(q). Factor p(n).
4*(n - 2)*(n + 1)
Let h(r) be the first derivative of -5*r**3/3 - 5*r**2/2 + 10*r + 8. Factor h(c).
-5*(c - 1)*(c + 2)
Let o(i) = -i**3 - 5*i**2 - i + 1. Let l be o(-5). Suppose -7*g - 4*w - l = -2*g, 2*w = 2*g - 12. Find y such that 0*y**4 - y**3 + y**4 + 2*y**4 + g*y**3 = 0.
-1/3, 0
Let x(m) be the first derivative of 4*m**3/3 - 4*m**2 - 12*m - 11. Factor x(z).
4*(z - 3)*(z + 1)
Let q = 23501/6411 + 2/2137. Solve -2/3*k**3 - 4*k - q*k**2 + 3 = 0.
-3, 1/2
Let r = 17/4 + -43/12. Let d(z) be the first derivative of 6/5*z**5 + 3/2*z**4 + 0*z**2 + 1/3*z**6 - 1 + r*z**3 + 0*z. What is b in d(b) = 0?
-1, 0
Let j(s) = -s**3 - s**2 - s. Let d(p) = -9*p**3 - 11*p**2 - 11*p - 1. Let u(v) = -3*d(v) + 24*j(v). Factor u(g).
3*(g + 1)**3
Let f(k) be the third derivative of k**8/672 - k**7/210 + k**5/60 - k**4/48 - 2*k**2. Determine p, given that f(p) = 0.
-1, 0, 1
Suppose 2*w - 6 = -x, -13*x + 4*w + 2 = -8*x. Solve -3/5*b + 4/5*b**x - 1/5 = 0.
-1/4, 1
Factor 2*n**4 + 15*n**3 + 13*n**4 + 5*n**5 + 11*n**2 - 6*n**2.
5*n**2*(n + 1)**3
Let t(u) be the second derivative of -2/7*u**7 + 2/15*u**6 + u**2 + 17/20*u**5 + 0 - 1/2*u**4 - 5/6*u**3 + 2*u. Solve t(s) = 0 for s.
-1, -2/3, 1/2, 1
Let z(l) = 23*l - 3. Let i be z(3). Let b be 252/i + 2/11. Determine f so that -2/9*f**2 + 0*f + 0 + 2/9*f**b + 0*f**3 = 0.
-1, 0, 1
Let k(i) = i**3 + 6*i**2 - 8*i - 3. Let x be k(-7). Factor 4*c**x + c**3 + 3*c**5 - 2*c**2 + 0*c**5 - 2*c**3.
c**2*(c + 1)**2*(3*c - 2)
Let y(m) = 2*m**2 - 2*m. Let h be y(2). Suppose -d - 14 = h*a, 4*a = 1 - 17. Factor 0*j**2 + 3*j**2 - d*j**2 + j.
j*(j + 1)
Let h = 1 + -1. Let w be (-12)/4*(-1 - h). Factor a + a + 6*a**2 + 2*a**w + 2*a**4 + 4*a**3.
2*a*(a + 1)**3
Suppose 5 = -2*w - 3*i + 3, 0 = -2*i. Let j be 2 - ((0 - 1) + w). Solve 4*f**5 + 2*f**2 - 3*f**j + 3*f**3 - 3*f**5 - 5*f**2 + 2*f**2 = 0.
0, 1
Let f(j) be the first derivative of j**6/10 + 3*j**5/20 - j**4/4 - j**3/2 + 6*j - 3. Let p(m) be the first derivative of f(m). Solve p(u) = 0 for u.
-1, 0, 1
Let g(b) be the second derivative of 0 - 1/20*b**4 - 3*b + 1/5*b**3 + 0*b**2. Factor g(n).
-3*n*(n - 2)/5
Suppose 2*i - 11 = 3*z, -i = -4*i + z + 13. Let -i*a**2 + 2 - a**2 + 3*a**2 = 0. What is a?
-1, 1
Let c(b) = b + 15. Let q be c(-13). Let l(s) be the second derivative of 1/70*s**5 + 0*s**q + 0*s**3 + 0 + 1/42*s**4 + s. Solve l(t) = 0 for t.
-1, 0
Let i(q) be the first derivative of -q**4/12 + q**3/6 + 2*q + 3. Let x(v) be the first derivative of i(v). Factor x(n).
-n*(n - 1)
Let j(a) be the first derivative of -7*a**6/1440 + 3*a**5/160 - a**4/48 - 7*a**3/3 + 7. Let p(u) be the third derivative of j(u). Suppose p(z) = 0. Calculate z.
2/7, 1
Let l(i) be the third derivative of 0*i**4 + 0 - 2*i**2 + 0*i**3 + 0*i**5 + 1/180*i**6 + 0*i + 1/315*i**7. Factor l(r).
2*r**3*(r + 1)/3
Factor -2/9*u**4 + 2/9*u**2 + 2/9*u**3 + 0 - 2/9*u.
-2*u*(u - 1)**2*(u + 1)/9
Let f(q) be the first derivative of -2/3*q**3 + 6 + 2*q**2 - 2*q. Factor f(x).
-2*(x - 1)**2
Suppose 6*a + 3 = 9*a. Let i be (a + 0)/(11/22). Solve 4/9 - 2/9*o**i + 2/9*o = 0.
-1, 2
Let u(z) = z**4 + 46*z**3 - 115*z**2 + 140*z - 66. Let a(r) = 5*r**4 + 185*r**3 - 460*r**