0.
-1, 0
Let y(l) be the third derivative of l**7/42 - l**6/8 + l**5/4 - 5*l**4/24 + 9*l**2. Factor y(v).
5*v*(v - 1)**3
Let v = 23369/18165 + -2/2595. Factor 0*x**2 + 3/7*x**3 - 6/7 - v*x.
3*(x - 2)*(x + 1)**2/7
Find n such that 1/2 + 3/2*n**2 - 1/2*n**3 - 3/2*n = 0.
1
Let t(u) be the third derivative of 1/180*u**6 - 5*u**2 - 1/90*u**5 + 0*u**3 + 0*u + 0*u**4 + 0. Let t(p) = 0. Calculate p.
0, 1
Suppose -4*z = -3*z - 4. Let p(y) be the first derivative of 0*y**2 + 0*y - 1/3*y**6 - 2 + 4/5*y**5 - 1/2*y**z + 0*y**3. Suppose p(r) = 0. What is r?
0, 1
Let n(c) be the second derivative of 1/20*c**5 + 0 + 1/20*c**6 - 2*c - 1/12*c**4 - 1/4*c**2 + 1/84*c**7 - 1/4*c**3. Let n(w) = 0. Calculate w.
-1, 1
Suppose -56*g = -57*g + 3. Let a(x) be the second derivative of -1/75*x**6 + 0*x**2 - 1/15*x**g - x + 1/50*x**5 + 1/30*x**4 + 0. Factor a(q).
-2*q*(q - 1)**2*(q + 1)/5
Let b(s) = 6*s**3 + 6*s**2 - 8*s. Let o(j) = 5*j**3 + 5*j**2 - 7*j. Let q = -12 - -15. Let h(m) = q*b(m) - 4*o(m). Determine g so that h(g) = 0.
-2, 0, 1
Let w(k) be the third derivative of k**10/105840 - k**8/23520 + k**4/8 - 4*k**2. Let r(u) be the second derivative of w(u). Let r(j) = 0. What is j?
-1, 0, 1
Let p be -2*17/(-8) + 13/52. Determine q so that p*q**2 - 6*q + 2 = 0.
2/3
Let t(r) be the first derivative of -4*r**5/15 + 7*r**4/9 - 20*r**3/27 + 2*r**2/9 + 11. Factor t(z).
-4*z*(z - 1)**2*(3*z - 1)/9
Let k be (-12)/10*35/(-14). Let j be 40/(-45)*k/(-4). Determine q so that -2/3*q**3 + 0 - j*q**2 + 0*q = 0.
-1, 0
Let u(x) = -7*x + 5. Let r be u(4). Let d be r/(-7) - 18/63. Let -1/4*g**d - 1/4*g**4 + 0 + 1/2*g**2 + 0*g = 0. What is g?
-2, 0, 1
Let y(f) be the third derivative of f**5/8 - 7*f**4/16 + f**3/2 + 3*f**2. Let y(i) = 0. What is i?
2/5, 1
Let w = 9 + -8. Let o(v) be the first derivative of -w + 4/9*v**3 + 1/9*v**6 - 2/3*v - 2/15*v**5 - 1/3*v**4 + 1/3*v**2. Determine t so that o(t) = 0.
-1, 1
Let g(r) be the third derivative of -r**6/60 - r**5/30 + r**4/24 - r**3/6 - r**2. Let q be g(-2). Factor -3*z + z**q - z**2 - z**2 + 2*z + 2*z**4.
z*(z - 1)*(z + 1)**3
Let o = 14 - 12. Factor 2*h**o - 2*h + 4*h**3 - 2*h**4 - 3*h + h + 0*h.
-2*h*(h - 2)*(h - 1)*(h + 1)
Let k(t) = t**3 - 5*t**2 - 7*t + 8. Let v be k(6). Suppose 0 = v*a - z, -2*z = 2*a + z. Find x, given that 0*x + a - 2/3*x**3 - 1/3*x**2 - 1/3*x**4 = 0.
-1, 0
Let s(x) be the first derivative of 3/2*x**2 + 0*x + 1/2*x**3 - 3/8*x**4 + 2. Determine h so that s(h) = 0.
-1, 0, 2
Factor -v - 5/4*v**4 + 2*v**2 + 7/4*v**3 + 0.
-v*(v - 2)*(v + 1)*(5*v - 2)/4
Let g(j) be the first derivative of 49/12*j**6 - 17/8*j**4 + 73/6*j**3 + 5 + 2*j - 77/10*j**5 - 8*j**2. Suppose g(r) = 0. What is r?
-1, 2/7, 1
Factor 4/3*z**2 + 4/3 + 8/3*z.
4*(z + 1)**2/3
Let s(l) = 27*l - 3. Let n be s(-3). Let o = 260/3 + n. Let -o*m - 8/3 - 2/3*m**2 = 0. Calculate m.
-2
Let 0*i + 0 + 14/5*i**4 - 4/5*i**2 + 2*i**3 = 0. What is i?
-1, 0, 2/7
Suppose 3*i + i = 36. Let w be i/1*(-4)/(-12). Determine o so that 2/3*o + 0 - 2/3*o**4 - 2/3*o**w + 2/3*o**2 = 0.
-1, 0, 1
Let z(h) be the first derivative of h**6/10 - 3*h - 1. Let u(w) be the first derivative of z(w). Determine i so that u(i) = 0.
0
Let h = 6 - -1. Suppose 3*j + 72 = h*j. Factor -7*b + j*b - 11*b**2 - 2 - 7*b**2 + 9*b**3.
(b - 1)*(3*b - 2)*(3*b - 1)
Let w(l) be the second derivative of 5*l**7/21 + 7*l**6/15 - 13*l**5/10 - 11*l**4/6 + 8*l**3/3 + 4*l**2 - 7*l. What is h in w(h) = 0?
-2, -1, -2/5, 1
Let r be ((4 + -4)/(1 - 2))/(-2). Let u = 72 - 646/9. Factor -u + 2/9*t**2 + r*t.
2*(t - 1)*(t + 1)/9
Find z such that 1/4*z - 1/4*z**3 + 1/4 - 1/4*z**2 = 0.
-1, 1
Let d(c) be the first derivative of 5*c**3/3 + 25*c**2 + 125*c - 10. Factor d(z).
5*(z + 5)**2
Solve 0*q**2 - 2/11*q**4 + 0 + 6/11*q**3 - 8/11*q = 0 for q.
-1, 0, 2
Let p be (3 + -2)*(3 - -4). Suppose -5*j + 5*m - p = -2, -4*m + 12 = 0. Suppose 4/5*i**j + 0 + 1/5*i = 0. What is i?
-1/4, 0
Let n(k) be the first derivative of k**6/600 - k**4/40 - k**3/15 + k**2 + 3. Let b(h) be the second derivative of n(h). Factor b(j).
(j - 2)*(j + 1)**2/5
Let m(c) be the third derivative of c**6/180 + c**5/18 + 2*c**4/9 + 4*c**3/9 + 11*c**2. Suppose m(n) = 0. Calculate n.
-2, -1
Let o(m) = m**2 + 1. Let p(h) = -5*h**3 + 15*h**2 + 5*h - 5. Let u(n) = 5*o(n) - p(n). Suppose u(f) = 0. What is f?
-1, 1, 2
Factor 2*n**5 - 12*n**4 + 12*n**3 + 0*n**2 + 2*n**5 - 4*n**2 + 0*n**2.
4*n**2*(n - 1)**3
Factor 0 - 3/2*r**2 + 1/2*r**3 + r.
r*(r - 2)*(r - 1)/2
Let h(l) be the third derivative of l**7/105 - l**6/180 - l**5/18 + l**4/36 + 2*l**3/9 + 6*l**2. Solve h(d) = 0.
-1, -2/3, 1
Let k(n) be the third derivative of n**8/5880 + n**7/980 + n**6/420 + n**5/420 + n**3/2 - 5*n**2. Let b(w) be the first derivative of k(w). Factor b(y).
2*y*(y + 1)**3/7
Factor -121*q**2 + 137*q**2 + 2*q**3 - 2*q**3 - 2*q**3 - 14*q.
-2*q*(q - 7)*(q - 1)
Suppose 2*f = -4*d + 438, 630 = 3*f - 0*d - 3*d. Factor -33*q**3 - 30*q**3 - 55*q + 36 - 5*q - f*q**2.
-3*(q + 3)*(3*q + 2)*(7*q - 2)
Let o(h) = -3*h**3 + 3*h**2 + 13*h. Let w(n) = 4*n + 3*n**3 - 5*n**3 + 2*n + n + n**2. Let q(d) = 6*o(d) - 10*w(d). Solve q(s) = 0 for s.
-2, 0
Let f be 580/100 + (1 - 4). Determine p, given that -f*p**2 + 2/5*p**3 - 18/5 + 6*p = 0.
1, 3
Let s = -2313/4 + 579. Solve -s*p - 1/2 - 1/4*p**2 = 0 for p.
-2, -1
Let l = 225 + -222. Find c such that 2/3*c**l - 4/3 - 2/3*c + 4/3*c**2 = 0.
-2, -1, 1
Solve 17*r**5 + 18*r**4 + 8*r**2 + 11*r**3 - 3*r - 12*r**5 - 2 + 11*r**3 = 0.
-1, 2/5
Let 1 + 2*f - 4 + 20*f**2 + 10*f - 5 = 0. Calculate f.
-1, 2/5
Let p(b) be the second derivative of b**7/1260 - b**6/180 + b**5/60 + b**4/4 - b. Let n(r) be the third derivative of p(r). Suppose n(t) = 0. Calculate t.
1
Let k(i) be the second derivative of i**7/420 - i**6/36 + 2*i**5/15 - i**4/3 - 2*i**3/3 + 3*i. Let u(g) be the second derivative of k(g). Factor u(o).
2*(o - 2)**2*(o - 1)
Let z be 9 + -3 + 6 + -1. Let b(r) = r**2 - 11*r + 2. Let m be b(z). Solve -1 - o - 1/4*o**m = 0 for o.
-2
Suppose -x + 27 = -4*x. Let f(o) = o**3 + 8*o**2 - 10*o - 6. Let k be f(x). Factor 0*j - j**2 + 0 + 7/4*j**4 - 3*j**k.
j**2*(j - 2)*(7*j + 2)/4
Solve 8/7 + 4/7*x**2 + 12/7*x = 0 for x.
-2, -1
Let f(l) be the second derivative of -l**6/1440 - l**5/480 - 2*l**3/3 + 4*l. Let n(g) be the second derivative of f(g). Determine t, given that n(t) = 0.
-1, 0
Let c(h) be the third derivative of 0*h**4 + 0*h**3 + 1/315*h**7 + 0 + 0*h - 1/90*h**5 - h**2 - 1/504*h**8 + 1/180*h**6. Factor c(s).
-2*s**2*(s - 1)**2*(s + 1)/3
Let o(s) be the first derivative of -s**5/5 - 3*s**4/4 + 2*s**2 - 1. Determine j so that o(j) = 0.
-2, 0, 1
Let r(m) be the second derivative of -m**8/10080 + m**7/5040 - m**3/2 + 2*m. Let i(g) be the second derivative of r(g). Solve i(z) = 0 for z.
0, 1
Factor 16 + 1/4*s**3 + 3*s**2 + 12*s.
(s + 4)**3/4
Let y = 23/63 + -2/63. Factor -y*x**3 + 1/3*x + 1/3 - 1/3*x**2.
-(x - 1)*(x + 1)**2/3
Let b(i) be the first derivative of -2*i**5/25 + i**4/10 - 16. Find r, given that b(r) = 0.
0, 1
Let j(u) be the second derivative of 5*u**4/12 - 10*u**2 - 12*u. Suppose j(n) = 0. What is n?
-2, 2
Factor 3/4*m**2 + 1/4*m**3 + 1/4*m**5 + 0 - 1/2*m - 3/4*m**4.
m*(m - 2)*(m - 1)**2*(m + 1)/4
Let j(h) be the first derivative of h**6/480 - h**5/80 + h**4/48 + 7*h**2/2 + 5. Let w(g) be the second derivative of j(g). Factor w(b).
b*(b - 2)*(b - 1)/4
Let m(r) be the second derivative of -r**6/50 - 9*r**5/100 + 4*r. Factor m(y).
-3*y**3*(y + 3)/5
Suppose -n + 3*n - 8 = 0. Suppose -18*k = -19*k. Solve 0*p**2 + k + 2/7*p**n - 6/7*p**5 + 0*p + 4/7*p**3 = 0.
-2/3, 0, 1
Factor -2 + 5 + 1 - 3 - j**2.
-(j - 1)*(j + 1)
Let y(h) be the third derivative of -8*h**7/105 - h**6/30 + 4*h**5/15 + h**4/6 + 5*h**2. Let y(u) = 0. Calculate u.
-1, -1/4, 0, 1
Let m(h) be the first derivative of -1 + 1/12*h**6 - 1/4*h**4 + 1/4*h**2 + 0*h**5 + 0*h**3 + 0*h. Determine y so that m(y) = 0.
-1, 0, 1
Let i be 630/245 + (-4)/7. Determine h, given that -4/5 - 32/5*h**i + 14/5*h**3 + 22/5*h = 0.
2/7, 1
Factor -54/13*u**3 - 2/13*u**5 + 0*u - 18/13*u**4 + 0 - 54/13*u**2.
-2*u**2*(u + 3)**3/13
Let m(b) be the first derivative of 4*b**3/3 - b**2/2 - 2. Let n be m(1). Factor -6*u**n + 16*u**3 + u**2 - 2*u**4 + 8*u - 17*u**2.
-2*u*(u - 2)**2*(u - 1)
Factor 5*x + 0*x - 2*x**2 - 3*x.
-2*x*(x - 1)
Let r = 3 + 0. 