 be the first derivative of -g**4/14 - 4*g**3/21 - g**2/7 - 10. Solve j(m) = 0.
-1, 0
Let k = -2 - -4. Let a = -3 + 5. Factor 0*s + a - 3/2*s**k + 1/2*s**3.
(s - 2)**2*(s + 1)/2
Let y(l) = l**5 + 3*l**4 + 9*l**3 + 7*l**2 + 6. Let z(t) = -2*t**5 - 6*t**4 - 19*t**3 - 15*t**2 - 13. Let f(u) = -13*y(u) - 6*z(u). Let f(v) = 0. Calculate v.
-1, 0
Let n(i) be the first derivative of i**8/5040 - i**7/2520 - i**6/1080 + i**5/360 + 7*i**3/3 - 5. Let x(g) be the third derivative of n(g). Factor x(z).
z*(z - 1)**2*(z + 1)/3
Let v(a) = a - 1. Let u(q) = 7*q. Let k(n) = -u(n) + 4*v(n). Let z be k(-3). Factor 1 - h**3 - h**z - 1 + 2*h**5.
h**3*(h - 1)*(h + 1)
Let b = 69 - 45. Let s be 40/(-15)*(-2)/b. Factor -2/9*r**3 + s - 2/3*r + 2/3*r**2.
-2*(r - 1)**3/9
Let x(y) be the second derivative of y**6/180 + y**5/84 - y**4/42 - 4*y**3/3 - 2*y. Let w(h) be the second derivative of x(h). Suppose w(f) = 0. Calculate f.
-1, 2/7
Let n(b) be the third derivative of -b**2 + 1/105*b**7 + 1/60*b**6 + 0*b**3 + 0*b**4 + 0*b - 1/30*b**5 - 1/168*b**8 + 0. Determine y so that n(y) = 0.
-1, 0, 1
Let s(i) be the second derivative of i**8/23520 - i**6/840 + i**5/210 + 2*i**4/3 + 5*i. Let z(m) be the third derivative of s(m). Factor z(h).
2*(h - 1)**2*(h + 2)/7
Determine v so that -3*v**3 - 2*v**2 + 4*v**2 + 3*v**2 - 2*v**2 = 0.
0, 1
Factor -6/7*z - 4/7*z**3 + 2*z**2 + 0.
-2*z*(z - 3)*(2*z - 1)/7
Determine j so that 2/11*j - 2/11*j**3 - 2/11*j**4 + 2/11*j**2 + 0 = 0.
-1, 0, 1
Let z(i) be the third derivative of 0 + 1/12*i**3 - 3*i**2 - 1/120*i**5 - 1/120*i**6 + 0*i**7 + 0*i + 1/1344*i**8 + 1/32*i**4. Solve z(u) = 0 for u.
-1, 1, 2
Let y(l) = 9*l**3 - 4*l**2 + 8*l. Suppose -s + 17 + 9 = 0. Let p(r) = -2*r**3 + r**2 - 2*r. Let d(f) = s*p(f) + 6*y(f). Factor d(b).
2*b*(b - 1)*(b + 2)
Let t = 250 + -1748/7. Let 0 + 4/7*u + 6/7*u**2 + t*u**3 = 0. What is u?
-2, -1, 0
Let u(w) be the third derivative of 0*w**3 + 0*w + 2*w**2 - 1/40*w**6 + 0 + 1/20*w**5 + 1/4*w**4. Factor u(s).
-3*s*(s - 2)*(s + 1)
Let d(n) be the first derivative of n**6/100 - n**5/20 + n**4/20 + 5*n**2 - 4. Let j(p) be the second derivative of d(p). Factor j(o).
3*o*(o - 2)*(2*o - 1)/5
Let i = 2148/13793 + -2/1061. Factor 2/13 + i*m**3 + 6/13*m**2 + 6/13*m.
2*(m + 1)**3/13
Let h(o) be the second derivative of -3/80*o**5 + 3/8*o**4 + 2*o + 3*o**2 + 0 - 3/2*o**3. Factor h(a).
-3*(a - 2)**3/4
Let k(z) be the second derivative of -z**7/63 + z**6/45 + z**5/6 - 5*z**4/18 - 4*z**3/9 + 4*z**2/3 - 22*z. Solve k(w) = 0 for w.
-2, -1, 1, 2
Suppose 0*l = -4*l - 36. Let m = -4 - l. Factor -3*w - 4*w - 5 - m*w**2 + 3.
-(w + 1)*(5*w + 2)
Let -7/3*s**4 - 1/2*s**5 - 1/3 - 11/6*s - 13/3*s**3 - 4*s**2 = 0. What is s?
-1, -2/3
Let g be ((-6)/(-27))/(9/9). Let 2/9*h**4 - 2/9*h - 4/9*h**2 - g*h**5 + 2/9 + 4/9*h**3 = 0. What is h?
-1, 1
Suppose 16 = -m + 5*m. Let f be (-3)/(m/(16/(-18))). Factor -f*c - 2/3*c**2 + 0.
-2*c*(c + 1)/3
Let z(x) = 3*x**2 + 18*x - 12. Let b(f) = f. Let a(r) = 9*b(r) - z(r). Let a(q) = 0. Calculate q.
-4, 1
Let f(m) be the third derivative of -m**7/210 + m**6/120 + 3*m**5/20 + 11*m**4/24 + 2*m**3/3 + 33*m**2. Factor f(v).
-(v - 4)*(v + 1)**3
Let i(q) be the second derivative of -q**5/80 + q**4/24 + q**3/8 + 3*q + 12. Determine c so that i(c) = 0.
-1, 0, 3
Let b(i) be the first derivative of 2*i**3/9 + 4*i**2/3 + 2*i + 2. Determine r so that b(r) = 0.
-3, -1
Let t(v) = -v**3 + 5*v**2 - v - 8. Let r be t(4). Let j = 11 + -7. Determine a, given that -a**r + 2*a**4 + a**j + 2*a**5 + 2*a**4 = 0.
-2, 0
Let a be (2 - 1)/((-2)/4). Let p be 2 - a/(-2) - 0. Factor -p + 1 + 2 + 3*m + m**2.
(m + 1)*(m + 2)
Let d(m) be the third derivative of 0*m**3 + 0 - 1/90*m**5 + 0*m + 1/360*m**6 + m**2 + 1/72*m**4. Factor d(y).
y*(y - 1)**2/3
Let k be (60/(-80))/(-1 - 2). Factor -k*h**5 - 1/2*h**3 - 3/4*h**4 + 3/4*h + 1/2*h**2 + 1/4.
-(h - 1)*(h + 1)**4/4
Suppose 5*x = 7 + 8. Factor -x*w + 2 - w**2 + 5*w - w.
-(w - 2)*(w + 1)
Let 0 + 3/5*g**2 - 3*g = 0. Calculate g.
0, 5
Let x(h) = -h**2 + 10*h + 3. Let f be x(10). Factor -20*g - 4*g**f + 0*g**3 + 20*g - 4*g**2.
-4*g**2*(g + 1)
Let z(n) be the second derivative of 5/2*n**4 - 3/2*n**5 - 1/14*n**7 + 3/2*n**2 - 5/2*n**3 - n + 1/2*n**6 + 0. Suppose z(k) = 0. Calculate k.
1
Let d(q) be the third derivative of q**6/420 - q**5/105 + q**4/84 + 6*q**2. Factor d(x).
2*x*(x - 1)**2/7
Let l(q) be the first derivative of q**9/1008 - q**8/140 + q**7/56 - q**6/60 + 8*q**3/3 + 1. Let g(m) be the third derivative of l(m). Solve g(a) = 0 for a.
0, 1, 2
Let f(c) be the second derivative of -c**6/900 - c**5/300 - 2*c**3/3 + 3*c. Let y(q) be the second derivative of f(q). Find r, given that y(r) = 0.
-1, 0
Let f(x) = 5*x**4 - x**3 - 2*x**2 - 4*x - 4. Let w(y) = y**4 - y**3 - y**2 - y - 1. Let b(r) = -3*f(r) + 12*w(r). Let b(n) = 0. What is n?
-2, -1, 0
Let a(p) be the third derivative of 0*p - 9*p**2 + 1/120*p**4 - 1/300*p**5 + 0 + 1/15*p**3. Solve a(h) = 0.
-1, 2
Let k be (-72)/(-27) + 2/(-1). Let j(h) = -5*h**3 + h + 1. Let v be j(-1). Suppose 14*a**v - k*a**3 + 0 - 4/3*a**2 + 0*a + 44/3*a**4 = 0. Calculate a.
-1, -1/3, 0, 2/7
Let f(d) be the first derivative of -d**4 + 16*d**3/3 - 2*d**2 - 24*d - 49. What is h in f(h) = 0?
-1, 2, 3
Suppose q - 6 + 3 = 0. Let g(z) be the second derivative of 0 + 2/15*z**q - z + 1/30*z**4 + 1/5*z**2. Solve g(x) = 0 for x.
-1
Let o(k) = -k**5 + k**3 + 2*k**2. Let v(b) = -b**5 + b**3 + b**2. Let h(i) = o(i) - 2*v(i). Let h(j) = 0. What is j?
-1, 0, 1
Let t be (-54)/(-60) + (-2)/5. Factor 1/4*o**2 - t - 1/4*o.
(o - 2)*(o + 1)/4
Let k(r) be the second derivative of r**7/168 + r**6/24 + 3*r**5/40 - r**4/12 - r**3/3 - 40*r. Suppose k(a) = 0. Calculate a.
-2, 0, 1
Let o(s) be the second derivative of -5*s**7/42 - s**6/2 - 3*s**5/4 - 5*s**4/12 - 22*s. Let o(q) = 0. What is q?
-1, 0
Determine x so that 0*x**2 + 0*x + 0 + 3/7*x**4 - 6/7*x**3 = 0.
0, 2
Factor 0 + 1/4*s**2 - 1/4*s**3 + 1/4*s - 1/4*s**4.
-s*(s - 1)*(s + 1)**2/4
Let w(i) be the second derivative of 0*i**2 + 1/18*i**3 - 3*i + 0 - 1/36*i**4. Factor w(b).
-b*(b - 1)/3
Let o be 8*(459/90 - 5). Factor 32/5*l**2 + 14/5*l**3 + 22/5*l + o.
2*(l + 1)**2*(7*l + 2)/5
Suppose -12*o + 20 = -7*o. Solve -1/5*b + 2/5*b**3 - 4/5*b**2 + 2/5 - 1/5*b**5 + 2/5*b**o = 0.
-1, 1, 2
Let i(a) = -1 + a - a + a**3 - 2*a**2 - 2*a. Let n be i(3). Factor -2*z**2 + 2*z**n - z + z**3.
z*(z - 1)*(z + 1)
Suppose 0*b + 2*b - 4 = 0. Let j(u) = u - 1. Let p(q) = -q**5 + q**4 - 11*q + 11. Let m(z) = b*p(z) + 22*j(z). Factor m(l).
-2*l**4*(l - 1)
Let 0*v + 15/8*v**5 + 9/2*v**4 + 3/4*v**2 + 0 + 27/8*v**3 = 0. Calculate v.
-1, -2/5, 0
Let y = -2 + 2. Suppose y = 5*v - v - 4*f + 4, v - 5*f + 13 = 0. Factor 7*i + i**v - 5*i - i.
i*(i + 1)
Let w(s) be the third derivative of s**8/1176 - 2*s**7/735 - s**6/210 + 4*s**5/105 - s**4/12 + 2*s**3/21 + 6*s**2. Determine h so that w(h) = 0.
-2, 1
Let x(a) be the first derivative of -8 + 2/9*a - 14/27*a**3 + 2/9*a**2 + 2/9*a**4. Factor x(f).
2*(f - 1)**2*(4*f + 1)/9
Let l be (-9)/6*(-4)/(-6). Let p(d) = 5*d**2 + d + 1. Let t be p(l). Factor -5 + t*z**2 - 3*z - 1 + 4.
(z - 1)*(5*z + 2)
Let q(n) be the third derivative of 0 + 1/150*n**5 + 0*n + 0*n**3 - 1/120*n**4 - 1/600*n**6 - n**2. Let q(x) = 0. Calculate x.
0, 1
Let h be 2/(1/1 + 0). Let i(a) be the second derivative of 0 - 1/40*a**5 + 1/40*a**6 + 1/2*a**3 - 2*a - 1/2*a**h - 3/16*a**4. Determine n so that i(n) = 0.
-2, 2/3, 1
Let i(o) = o**2 - 7*o + 10. Let v be i(5). Let k(l) be the first derivative of -1/10*l**2 - 1/20*l**4 + 1 + 2/15*l**3 + v*l. Solve k(q) = 0 for q.
0, 1
Let t be 3/9*1 - 45/(-27). Let 1/9*x**4 + 0 + 8/9*x**t + 5/9*x**3 + 4/9*x = 0. Calculate x.
-2, -1, 0
Let b(x) be the third derivative of -1/240*x**6 + 1/12*x**3 + 0 + 2*x**2 + 0*x + 1/48*x**4 - 1/120*x**5. Factor b(c).
-(c - 1)*(c + 1)**2/2
Let q(d) be the first derivative of -d**2 + 0*d - 1/2*d**4 + 4/3*d**3 + 6. Find x, given that q(x) = 0.
0, 1
Factor 1/2*l + 0*l**2 - 1/6*l**3 - 1/3.
-(l - 1)**2*(l + 2)/6
Let g(c) be the second derivative of 1/18*c**4 + 0*c**2 - 1/45*c**6 + 0 - 1/63*c**7 - c + 1/10*c**5 - 2/9*c**3. Let g(k) = 0. What is k?
-2, -1, 0, 1
Let d(s) be the third derivative of s**8/6720 - s**7/630 + s**6/180 + s**4/12 - 2*s**2. Let o(k) be the second derivative of d(k). Factor o(a).
a