= -42 - -63. Let k = m + -19. Factor 4/7*x - 2/7*x**k - 2/7.
-2*(x - 1)**2/7
Let t be ((-1)/2)/((-2)/1). Let m be 10/6 + 4/12. Factor 1/4*k + t*k**m + 0.
k*(k + 1)/4
Let y(c) be the third derivative of -2*c**7/105 + c**6/30 + c**5/15 - c**4/6 + 12*c**2. Determine v, given that y(v) = 0.
-1, 0, 1
Let f(l) be the second derivative of l**8/2240 - l**7/1120 - l**6/480 + l**5/160 - l**3/3 - 5*l. Let t(g) be the second derivative of f(g). Factor t(k).
3*k*(k - 1)**2*(k + 1)/4
Factor -4/3*k**3 - 2/3*k**4 + 8*k**2 - 28/3*k + 10/3.
-2*(k - 1)**3*(k + 5)/3
Let z(c) be the first derivative of 0*c**3 - 3 + 0*c + 0*c**5 + 0*c**2 - 1/15*c**6 + 1/10*c**4. Find l, given that z(l) = 0.
-1, 0, 1
Let p(w) be the first derivative of -w**6/1620 - w**5/180 - w**4/54 + w**3/3 - 1. Let b(n) be the third derivative of p(n). Solve b(v) = 0 for v.
-2, -1
Let v = 199/120 + -13/8. Let p(m) be the third derivative of -v*m**4 - 1/300*m**6 + 0*m**3 + 0*m + 0 - 1/50*m**5 - m**2. Factor p(l).
-2*l*(l + 1)*(l + 2)/5
Let i(k) be the second derivative of k**6/50 + 18*k**5/25 + 54*k**4/5 + 432*k**3/5 + 1944*k**2/5 + k. Let i(l) = 0. What is l?
-6
Let a(k) be the third derivative of k**6/10 - 23*k**5/60 - k**4/8 + k**3/3 + 8*k**2. Factor a(y).
(y - 2)*(3*y + 1)*(4*y - 1)
Let t(d) be the first derivative of -d**6/8 - 3*d**5/20 + 15*d**4/16 - 3*d**3/4 - 18. Let t(g) = 0. Calculate g.
-3, 0, 1
Let o be 8/20 + 13/5. Suppose o*k - 23 - 43 = 0. Factor -k*i**3 + 3*i**2 + 2*i + 8*i**4 + 13*i**4 - 3*i**2 - i**2.
i*(i - 1)*(3*i - 1)*(7*i + 2)
Factor -1/4*q**2 - 1/4*q + 0.
-q*(q + 1)/4
Suppose -26 + 21 = 5*o. Let w(y) = 2*y**2 - y - 1. Let a be w(o). Factor 0*v**3 - 2/5*v**a + 1/5 + 1/5*v**4 + 0*v.
(v - 1)**2*(v + 1)**2/5
Let x = 9 + -15. Let j be 10/(-9)*x/10. Factor j*y**3 - 2/3*y - 2/3*y**2 + 2/3.
2*(y - 1)**2*(y + 1)/3
Let f(x) be the first derivative of x**8/6720 - x**7/3360 + x**3/3 + 1. Let r(q) be the third derivative of f(q). Let r(k) = 0. Calculate k.
0, 1
Suppose 5*k = -0*k - 10. Let q(h) = -h. Let i be q(k). Determine c so that 0 + 6*c**2 - 2 + 0 + i*c**3 + 4 + 6*c = 0.
-1
Suppose 5*q = -2*j - 5, -j - 3*q - 3 = -0*q. Let 0 + j*v**3 + 2/7*v + 4/7*v**2 - 4/7*v**4 - 2/7*v**5 = 0. Calculate v.
-1, 0, 1
Let w be (0 - 4/(-5))*5/6. Solve r**2 - 5/3*r - w = 0 for r.
-1/3, 2
Factor -2/7 - 1/7*h**4 + 5/7*h**3 + h - 9/7*h**2.
-(h - 2)*(h - 1)**3/7
Suppose 0 = b - 0*b - 3. Find l such that -22*l**2 - 26*l**3 - 5*l**4 - 14*l - 2 - 8*l**2 - b*l**4 + 0*l**4 = 0.
-1, -1/4
Let w = -856/91 - -126/13. Let 2/7*t**3 - 4/7*t + 0 - w*t**2 = 0. Calculate t.
-1, 0, 2
Let n(u) = -u**3 + 7*u**2 + 19*u - 9. Let p be n(9). Find z, given that -2/11*z**4 + 0 + 2/11*z**3 + 0*z + p*z**2 = 0.
0, 1
Suppose 2*j + 8*j = 0. Determine w, given that 2/3*w**2 + j + 0*w - 7/3*w**3 = 0.
0, 2/7
Factor 1/4*j**3 - 3/4*j**2 - 1/4*j + 1/2 + 1/4*j**4.
(j - 1)**2*(j + 1)*(j + 2)/4
Let x(b) = -b**3 - b**2 - b - 1. Let j(v) = -52*v**2 - 68*v - 16. Let i(z) = -j(z) - 8*x(z). Factor i(n).
4*(n + 1)*(n + 6)*(2*n + 1)
Solve -4/13*m**4 + 16/13*m**2 + 4/13 + 14/13*m - 2/13*m**5 + 4/13*m**3 = 0.
-1, 2
Let v be (-3)/(-12) - (-111)/(-12). Let m = v - -14. Factor -a**2 + 2*a**4 + 2*a - m*a**2 - 4*a**4 + 6*a**3.
-2*a*(a - 1)**3
Let z(t) = 3*t + 10. Let l be z(-8). Let u be (l/(-63))/((-2)/(-3)). Factor 2/3*g + 1/3*g**2 + u.
(g + 1)**2/3
Factor -5/2*m**2 - 25 - 55/2*m.
-5*(m + 1)*(m + 10)/2
Let n(p) = 24*p**3 - 16*p**2 - 40*p + 14. Let h(a) = -5*a**3 + 3*a**2 + 8*a - 3. Let k(m) = 28*h(m) + 6*n(m). Find y, given that k(y) = 0.
-1, 0, 4
Let c = 22 + -17. Find f such that 0*f**5 + 3*f**3 - 4*f**5 + f**c = 0.
-1, 0, 1
Let s = -33 - -36. Let 0 + 2/7*y**2 + 0*y - 2/7*y**s = 0. Calculate y.
0, 1
Let g(n) be the second derivative of -n**5/20 - n**4/2 + 22*n. Suppose g(r) = 0. What is r?
-6, 0
Factor 0*a + 0 + 2/9*a**2.
2*a**2/9
Let f = 421/5 - 84. What is o in 1/5*o**2 - f*o + 0 = 0?
0, 1
Let u be 4/(-3)*6/(-4) + 1. Let r(i) be the first derivative of 0*i - 3 - 1/3*i**2 - 2/3*i**u - 2/15*i**5 - 1/2*i**4. Factor r(z).
-2*z*(z + 1)**3/3
Solve -1/2*m**4 + 1/2*m**2 + m + 3/2*m**5 - 5/2*m**3 + 0 = 0.
-1, -2/3, 0, 1
Let y(t) be the first derivative of -3*t**4/2 + 14*t**3/3 - 16*t**2/3 + 8*t/3 + 7. Factor y(r).
-2*(r - 1)*(3*r - 2)**2/3
Suppose 0 = -4*z + 5*z - 5. Suppose -d = -z*d + 16. Solve 0*v**2 - 6*v**3 + d*v**3 + 2*v**2 = 0.
0, 1
Let j(n) be the second derivative of -1/18*n**4 + 0*n**2 + 0 - 1/18*n**3 - 1/60*n**5 - 6*n. Solve j(k) = 0.
-1, 0
Suppose 0 = -y + 2*k, -4*k = -5*y - k + 28. Suppose 0 = 5*j - y - 2. Factor -2*c**2 - 2*c + 2*c**2 + j*c**2 - 4.
2*(c - 2)*(c + 1)
Let n(a) be the first derivative of a**4/60 + a**3/15 + a**2/10 + 3*a - 1. Let f(i) be the first derivative of n(i). Factor f(b).
(b + 1)**2/5
Let r be (-1)/(-5) + (828/(-390) - -2). Let x(h) be the first derivative of 2/13*h + r*h**4 + 10/39*h**3 - 1 + 4/13*h**2. Factor x(f).
2*(f + 1)**2*(2*f + 1)/13
Let h(y) be the second derivative of -y**4/48 + 11*y**3/12 - 121*y**2/8 - 31*y. Solve h(i) = 0.
11
Let a(u) be the third derivative of 6*u**2 - 1/8*u**4 + 0*u + 0 - 1/20*u**5 + u**3. Solve a(b) = 0.
-2, 1
Let r(l) be the second derivative of l**4/4 - 3*l**2/2 + 3*l. Factor r(n).
3*(n - 1)*(n + 1)
Factor -4*v**2 + 2*v + v**4 - 5*v**5 - 6*v**3 + 0*v**4 + 5*v**2 + 7*v**5.
v*(v - 1)**2*(v + 2)*(2*v + 1)
Let n(h) be the third derivative of 1/36*h**4 + 2*h**2 + 1/540*h**6 + 0*h - 1/27*h**3 + 0 - 1/90*h**5. Factor n(f).
2*(f - 1)**3/9
Let t(z) be the third derivative of z**7/42 + z**6/12 - z**5/4 - 5*z**4/6 + 10*z**3/3 - 28*z**2. Factor t(y).
5*(y - 1)**2*(y + 2)**2
Let o = 9 - 14. Let b(m) = 7*m**4 - m**3 + 5*m**2 + 3*m. Let s(r) = -8*r**4 - 6*r**2 - 2*r. Let t(y) = o*s(y) - 6*b(y). Suppose t(n) = 0. Calculate n.
-1, 0, 2
Let l(d) be the first derivative of -2*d**3 + 0*d**2 - 3 - 48/5*d**5 + 7/2*d**6 + 0*d + 33/4*d**4. Factor l(f).
3*f**2*(f - 1)**2*(7*f - 2)
Let x(h) be the first derivative of -125*h**4/4 + 10*h**2 + 12. Factor x(q).
-5*q*(5*q - 2)*(5*q + 2)
Let r be (4/(-3))/((-3)/9). Let m(b) be the second derivative of 1/9*b**3 - 8/9*b**r + 0 + 2/3*b**2 + 2*b - 17/15*b**5 - 26/45*b**6 - 1/9*b**7. Factor m(o).
-2*(o + 1)**4*(7*o - 2)/3
Let b(a) = -a**3 - a**2 - 1. Let s(m) = 6*m**3 + 4*m**2 - 2*m + 5. Let n(u) = -10*b(u) - 2*s(u). Suppose n(y) = 0. What is y?
-1, 0, 2
Let l(c) be the third derivative of 2/9*c**3 - 1/36*c**4 + 1/180*c**6 + 0*c + 0 - 1/45*c**5 + 3*c**2. Solve l(d) = 0.
-1, 1, 2
Let i(x) be the third derivative of x**5/120 - x**4/48 - x**3/6 + 18*x**2. Let i(z) = 0. Calculate z.
-1, 2
Let s be 10/15 + 21/9. Let -5*l**5 - 4*l**4 - s + 3 + 9*l**5 = 0. Calculate l.
0, 1
Let s(m) be the third derivative of -2/9*m**3 - 2*m**2 + 1/60*m**5 + 1/360*m**6 + 0*m**4 + 0*m + 0. Factor s(p).
(p - 1)*(p + 2)**2/3
Let i be ((-14)/(-3))/(4/6). Suppose 0 = y - 4*l + i - 27, -y = 4*l + 12. Factor 2*o**4 + 4*o + 6*o**4 + y*o + 28*o**2 + o**4 + 30*o**3.
o*(o + 2)*(3*o + 2)**2
Let f(v) be the second derivative of -2*v**6/15 + 4*v**5/5 - 2*v**4/3 - 8*v**3/3 + 6*v**2 + 11*v. Factor f(i).
-4*(i - 3)*(i - 1)**2*(i + 1)
Solve -v**3 + 3 + 7*v**3 + 5 - 14*v**2 = 0.
-2/3, 1, 2
Suppose r + 25 = 6*r. Factor 495*m + 3*m**r - 495*m.
3*m**5
Let h = -36/5 - -37/5. Determine z so that -4/5 + 0*z + h*z**2 = 0.
-2, 2
Let b(c) = c**2 + 5*c - 2. Let v be b(-6). Let h be (-2)/(-4) + v/8. Solve h - 1 + 2 + 4*t + 2*t**2 = 0 for t.
-1
Let n(o) = -7*o**4 - o**3 + 15*o**2 + 20*o + 11. Let t(j) = -15*j**4 - j**3 + 31*j**2 + 40*j + 23. Let p(a) = -7*n(a) + 3*t(a). Factor p(d).
4*(d - 2)*(d + 1)**3
Let z(i) be the first derivative of 0*i + 2*i**2 + i**4 + 2 - 10/3*i**3. Find p such that z(p) = 0.
0, 1/2, 2
Factor -4*p**3 - 28 - 16*p**2 - 2 + 2*p**3 - 2 - 40*p.
-2*(p + 2)**2*(p + 4)
Let v(z) = 2*z**2 - 1. Let h(p) = 13*p**2 + p - 8. Let s(n) = h(n) - 4*v(n). Let s(q) = 0. What is q?
-1, 4/5
Let p(t) = 5*t**3 + 5 - 5*t - t**4 - 9 - 1 - 9*t**5 + 2*t**2. Let d(h) = h**5 - h**4 - h**3 + h + 1. Let w(n) = -5*d(n) - p(n). Let w(z) = 0. Calculate z.
-1, 0, 1/2
Let o(m) = -m**2. Let s(f) = -20*f**2 - 10*f + 8. Let d(y) = -44*o(y) + 2*s(y). Factor d(q).
4*(q - 4)*(q - 1)
Let w(t) be the third derivative of t**7/1260 + t**6/180 + t**4/8 - t**2. Let q(d) be the second derivative of w(d). Let q(b) = 0. Calculate b.
-2, 0
Let p(h) be