ctor l(a).
2*a**3/7
Suppose m - 2 = -0*m. Let -3 - 10*s - 3*s**2 - 3*s**3 + 4*s**2 - 10*s**m + s = 0. What is s?
-1
Let a be (-2)/(-15) - 172/(-60). What is t in 3/4*t**a - 9/4*t**2 + 0*t + 3 = 0?
-1, 2
Suppose 0 = 25*k - 30*k + 20. Let l(z) be the first derivative of -z**3 - k*z**2 + 9/4*z**4 - 3 + 4*z. What is j in l(j) = 0?
-1, 2/3
Let y be -3 - (-5 - -3) - (-5)/2. Factor 1/2*w**2 - 3/2*w**3 - 1/2 + y*w.
-(w - 1)*(w + 1)*(3*w - 1)/2
Let t(h) be the second derivative of 0 - 1/18*h**4 + 1/9*h**3 + 2/3*h**2 + h. Find y such that t(y) = 0.
-1, 2
Let h = 1832/3 + -610. Factor 0 - h*j**2 + 2/3*j.
-2*j*(j - 1)/3
Let j(f) be the first derivative of -2*f**5/45 - 4. Factor j(t).
-2*t**4/9
What is z in -8/13 - 6/13*z**2 - 2*z = 0?
-4, -1/3
Determine m, given that 9*m**4 - 13*m**4 + 4*m**5 + 18*m**3 + 24*m**2 + m - 10*m**5 + 7*m = 0.
-1, -2/3, 0, 2
Let q(g) be the third derivative of 1/105*g**7 + 2*g**2 + 0*g**4 + 1/60*g**5 + 0*g**3 + 0 + 1/40*g**6 + 0*g. Factor q(k).
k**2*(k + 1)*(2*k + 1)
Suppose 19*k = 14*k + 35. Let i(w) be the second derivative of -11/20*w**5 + 1/3*w**4 - 3/28*w**k + 0*w**2 + 2/5*w**6 + 0 - 1/12*w**3 + 3*w. Factor i(u).
-u*(u - 1)**2*(3*u - 1)**2/2
Let p(j) be the third derivative of -j**7/420 + j**6/240 + j**5/120 - j**4/48 - j**2. What is b in p(b) = 0?
-1, 0, 1
Let j(r) be the third derivative of 2*r**7/735 - r**5/105 - 6*r**2. Determine l, given that j(l) = 0.
-1, 0, 1
Let v(w) be the third derivative of 0*w + 1/40*w**6 - 7*w**2 + 0 + 11/56*w**4 - 1/7*w**3 - 4/35*w**5. Find i such that v(i) = 0.
2/7, 1
Let r(b) be the first derivative of -b**4/12 - b**3/9 + 5*b**2/6 - b + 4. Find v, given that r(v) = 0.
-3, 1
Factor 6*o**2 + 3*o + o**5 + o**5 - o + 12*o**3 + 8*o**4 + 2*o**2.
2*o*(o + 1)**4
Determine b so that -4/5*b**2 + 6/5*b**3 + 0*b**4 + 0*b - 2/5*b**5 + 0 = 0.
-2, 0, 1
Suppose 3*i - 2*q = 6*i + 2, 0 = -5*i + 4*q + 26. Suppose 0*l = i*l - 3*k - 17, -2*k = -3*l + 18. Factor 6*x + 0 + 2*x**3 + 0 + l - 4*x**3.
-2*(x - 2)*(x + 1)**2
Let r(g) be the second derivative of -3/70*g**5 + 0*g**3 - 1/70*g**6 - 1/28*g**4 + 0 + 4*g + 0*g**2. Factor r(v).
-3*v**2*(v + 1)**2/7
Factor -12/7*w**2 + 12/7*w + 3/7*w**3 + 0.
3*w*(w - 2)**2/7
Suppose 2 + 6 = 4*x + p, 0 = -3*p - 12. Suppose 0*t**2 - 35*t**x - 15*t**3 - 60*t**2 - 16 + 72*t = 0. Calculate t.
-2, 2/5
Factor -53*j**2 - 3 + 1 + 3 + 52*j**2.
-(j - 1)*(j + 1)
Let d(o) be the second derivative of o**5/5 + o**4 - 8*o**2 - 12*o. Let d(p) = 0. Calculate p.
-2, 1
Let u = 3 - -1. Let n(r) be the first derivative of -3 + 2/5*r**5 + 0*r - 4/21*r**3 + 0*r**2 + 5/14*r**u. Determine q, given that n(q) = 0.
-1, 0, 2/7
Factor -2*l**2 - 2*l**2 + 2*l**5 - 4*l**4 - 2*l**3 + 8*l**2.
2*l**2*(l - 2)*(l - 1)*(l + 1)
Suppose 3 = -2*m + 25. Suppose b + b - 3*w = -m, 2*b + 21 = 5*w. Factor -4/5*i + 0 - 14/5*i**b.
-2*i*(7*i + 2)/5
Suppose 13*y - 6 = 11*y. Let -z + z + 2*z**y - 2*z**2 = 0. Calculate z.
0, 1
Let g(d) be the second derivative of d**8/6720 - d**7/1260 + d**6/720 - d**4/3 - 3*d. Let m(f) be the third derivative of g(f). Find p such that m(p) = 0.
0, 1
Solve 8*r**3 + 4*r**2 - 4 - 40*r**4 - 3*r - 3*r - 2*r**5 + 40*r**4 = 0.
-1, 1, 2
Let v(u) be the first derivative of -1/165*u**6 + 0*u**2 - 1/33*u**3 + 1/110*u**5 + 1/66*u**4 + 1 + u. Let p(b) be the first derivative of v(b). Factor p(a).
-2*a*(a - 1)**2*(a + 1)/11
Let c = 2 + -2. Let x = 1 + c. Find g, given that 0*g**3 - 4*g**4 - x + 2*g**5 + 2*g**3 + 1 = 0.
0, 1
Let f = 16 + -11. Suppose y**3 + 2*y**5 - 3*y**f + y**4 - y**2 + 0*y**4 = 0. What is y?
-1, 0, 1
Suppose 5*n = -4*a + 13, 2*a - 3 = -3*n - 2*a. Suppose 4*t - 6 = -x, 0*x - 4*x = n*t - 13. Factor 0*s + 0 - 1/2*s**4 + 1/4*s**x - 1/4*s**3.
-s**2*(s + 1)*(2*s - 1)/4
Let d(m) be the first derivative of 0*m**2 + 1/6*m**4 - 14/9*m**3 - 4 + 2/5*m**5 - 1/9*m**6 + 8/3*m. Solve d(l) = 0.
-1, 1, 2
Let h(i) = i**4 + 2*i**3 + 2*i**2 + 4*i. Let a(n) = n**3 + n**2 + n. Let p = -4 - -3. Let k(m) = p*h(m) + 3*a(m). Solve k(b) = 0.
-1, 0, 1
Let w(j) be the second derivative of 0*j**2 + 0 + 0*j**6 - 1/14*j**7 + 3/20*j**5 + 0*j**3 + 0*j**4 + 3*j. Factor w(x).
-3*x**3*(x - 1)*(x + 1)
Factor -6*f + 2*f - f**5 + 2*f**3 + 0*f + 1 + 4*f**2 - 5*f**4 + 3*f**5.
(f - 1)**3*(f + 1)*(2*f - 1)
Let a(z) be the first derivative of 12*z**5/35 - 4*z**4/7 + 4*z**3/21 - 4. Suppose a(o) = 0. What is o?
0, 1/3, 1
Suppose 0 = 2*a - 0 - 8. Let b be (1 - 6/a)*-4. Factor -4*f**b - 2*f**3 - f**4 + 5*f**2 + 2*f**3.
-f**2*(f - 1)*(f + 1)
Let d be 5/66 - (-16)/96. Let o(x) be the first derivative of -1/33*x**6 - 3/11*x**4 + 0*x + 8/55*x**5 - 1/11*x**2 + d*x**3 + 4. Factor o(b).
-2*b*(b - 1)**4/11
Let h(u) = u**4 + u**3 - u**2 - u. Suppose 0 = 5*o - 6 + 1. Let z(i) = -6*i**4 - 2*i**3 + 6*i**2 + 2*i. Let y(d) = o*z(d) + 4*h(d). Find k such that y(k) = 0.
-1, 0, 1
Suppose -21 = -20*s + 13*s. Factor 4/5*b + 0 + 2/5*b**s + 6/5*b**2.
2*b*(b + 1)*(b + 2)/5
Let k(p) = -p**2 + 5*p + 6. Let y be k(7). Let b = y - -10. Solve 2*w + w**4 + w + 2*w**2 - w - b*w**3 - 3*w**4 = 0.
-1, 0, 1
Suppose 0 = -3*c + 2*n + 3 + 5, -c + 5 = -3*n. Let t be 16/6 + c/(-3). Determine z, given that 4*z**3 - 3*z**t - 2*z**4 - 2*z**2 + 3*z**2 = 0.
0, 1
Let p = 139/36 - 15/4. Let y(d) be the second derivative of 1/18*d**4 + 0*d**2 + p*d**3 - d + 0. Factor y(u).
2*u*(u + 1)/3
Let z = -2 - -8. Suppose -z*v = -4*v - 4. Factor 4*s - 2*s - 8*s**5 - s**2 - s**v - 18*s**3 - 22*s**4.
-2*s*(s + 1)**3*(4*s - 1)
Suppose 0 = 4*m + 6 + 50. Let w = -14 - m. Factor w - 2/3*a**2 - 4/3*a.
-2*a*(a + 2)/3
Let n(s) = -2*s**4 - 11*s**3 + 3*s**2 + 11*s + 9. Let g(z) = -z**4 - 6*z**3 + 2*z**2 + 6*z + 5. Let q(f) = 10*g(f) - 6*n(f). Find o, given that q(o) = 0.
-2, -1, 1
Let k(c) = -3*c**3 + 2*c + 10. Let a(q) = -q**3 + q**2 - q + 1. Let h(m) = 2*a(m) - k(m). Factor h(u).
(u - 2)*(u + 2)**2
Let f(r) be the second derivative of -1/6*r**4 + 0*r**3 - 7/20*r**5 + r + 0 - 1/6*r**6 + 0*r**2. Suppose f(b) = 0. What is b?
-1, -2/5, 0
Let n = -5/2 + 3. Let z(w) be the second derivative of 0 + 1/12*w**4 + w**2 - 2*w + n*w**3. Factor z(l).
(l + 1)*(l + 2)
Factor -1/8*l**4 + 3/8*l**3 - 3/8*l + 1/4 - 1/8*l**2.
-(l - 2)*(l - 1)**2*(l + 1)/8
Let l be 4/(-30) - (-348)/1260. Find p, given that 0 + 1/7*p + l*p**2 = 0.
-1, 0
Suppose 5*r = 2 + 13. Find c, given that 24*c**2 + c - 4*c**4 + 43*c**r + 13*c**4 - 2*c - 2 + 11*c**4 = 0.
-1, -2/5, 1/4
Let u(f) be the first derivative of 1 - 1/4*f**2 + 1/6*f**3 - f. Suppose u(v) = 0. What is v?
-1, 2
Let p(k) = -k**3 - 30*k**2 - 305*k - 1000. Let a(r) = r**3 + 30*r**2 + 306*r + 1000. Let u(h) = -5*a(h) - 6*p(h). Factor u(g).
(g + 10)**3
Let d(c) = -1 - 1 - 3*c**3 + 0 + 3*c**2 + 5*c**5 + 12*c**3 + 7*c**4. Let b(h) = -h**5 + h**4 + 1. Let r(t) = 2*b(t) + d(t). Factor r(p).
3*p**2*(p + 1)**3
Let c(o) = -o**2 + o - 1. Let d(b) be the first derivative of 3*b**4/4 + b**3/3 - b**2/2 - 5*b + 4. Let p(v) = 2*c(v) - d(v). Let p(k) = 0. What is k?
-1, 1
Let z(q) = -q**4 - q**3 + 3*q**2 + 7*q. Let v(u) = u**3 - u**2 - u. Let r(t) = -2*v(t) + 2*z(t). Solve r(h) = 0 for h.
-2, 0, 2
Suppose 0 = -k - 4*k + 15. Let g(l) be the second derivative of -3/40*l**5 + 0*l**k + l + 0 - 1/42*l**7 - 3/40*l**6 + 0*l**2 - 1/48*l**4. Factor g(f).
-f**2*(f + 1)**2*(4*f + 1)/4
Let o(p) be the third derivative of p**5/210 + p**4/84 + 8*p**2. Find g, given that o(g) = 0.
-1, 0
Let a(o) be the first derivative of 1/4*o**4 - 1/2*o**2 + 5 + o - 1/3*o**3. Factor a(s).
(s - 1)**2*(s + 1)
Let u(b) be the first derivative of -1/5*b**5 + 0*b + 1/4*b**4 - 5 + 0*b**2 - 1/6*b**6 + 1/3*b**3. Suppose u(k) = 0. Calculate k.
-1, 0, 1
Let g(f) = -6*f**4 + f**3 + 10*f - 5. Let w(j) = j**4 - 2*j + 1. Let v(l) = 3*l + 2. Let o be v(-2). Let h(c) = o*g(c) - 22*w(c). Factor h(a).
2*(a - 1)**3*(a + 1)
Let l(q) be the second derivative of -q**6/20 - 3*q**5/8 - 9*q**4/8 - 7*q**3/4 - 3*q**2/2 - 6*q. Determine r so that l(r) = 0.
-2, -1
Factor 6*b**2 + 15*b**4 + 21*b**3 + 3*b**5 - 4*b**2 + 7*b**2.
3*b**2*(b + 1)**2*(b + 3)
Let k(v) be the first derivative of -v**5/30 - v**4/12 - v**3/18 + 8. Solve k(t) = 0.
-1, 0
Solve 28/5*y**2 + 16/5*y + 0 + 6/5*y**3 = 0.
-4, -2/3, 0
Let i(r) be the second derivative of r**4/6 - 4*r**3/3 + 4*r**2 + 8*r. Factor i(w).
2*(w - 2)**2
Suppose -3*j + 20 = 7*j. Let t(g) be the second derivative of -2/3*