4 + 0*c**2.
3*c**3*(c + 1)
Factor -13*b**2 + 18*b**3 + 9*b**5 + b**2 - 6*b**5 - 12*b**4 + 3*b.
3*b*(b - 1)**4
Suppose -5*j = -k + 15, -2*k + 0*j + 3 = -j. Let t(x) be the first derivative of 2 - 2/7*x + k*x**2 + 8/21*x**3. Factor t(g).
2*(2*g - 1)*(2*g + 1)/7
Let 0*m + 0*m**3 - 2/9*m**5 - 2/9*m**4 + 0 + 0*m**2 = 0. What is m?
-1, 0
Suppose 4*j = -s + 26, 2*j - 4*j + s = -10. Let v be (1 + -2)/((-2)/6). Let 7*h**4 - 4*h**2 - 4*h**4 + j*h**5 + h**2 + 3*h - 9*h**v = 0. Calculate h.
-1, 0, 1/2, 1
Let h(l) be the second derivative of 0 + 0*l**3 - l - 1/50*l**5 + 1/30*l**4 + 0*l**2. Factor h(b).
-2*b**2*(b - 1)/5
Let -1/3*c**2 + 1/3*c + 0 = 0. What is c?
0, 1
Let i(o) be the first derivative of o**4/2 + 38*o**3/3 + 80*o**2 - 200*o + 11. Factor i(d).
2*(d - 1)*(d + 10)**2
Let 18/7 - 54/7*m**2 - 3*m - 15/7*m**3 = 0. Calculate m.
-3, -1, 2/5
Let b(c) be the second derivative of 3*c**5/80 - c**4/8 + c**3/8 - 2*c. Find q such that b(q) = 0.
0, 1
Let f(q) be the second derivative of -q**5/210 + q**4/42 - q**3/21 + 3*q**2/2 + 7*q. Let j(h) be the first derivative of f(h). Factor j(k).
-2*(k - 1)**2/7
Let g be (-6)/15 + 0/(-4). Let d = -3/20 - g. Let d + 1/4*u**2 + 1/2*u = 0. What is u?
-1
Let s be (24/(-20))/((-6)/20). Let k(r) be the first derivative of 1/2*r**s - 2 + 0*r + 4/3*r**3 + r**2. Factor k(u).
2*u*(u + 1)**2
Let f(c) be the first derivative of c**8/6720 + c**7/420 + c**6/60 + c**5/15 + c**4/6 - c**3/3 + 2. Let n(i) be the third derivative of f(i). Factor n(g).
(g + 2)**4/4
Factor 0*t + 0 + 1/5*t**5 - 3/5*t**3 + 0*t**4 - 2/5*t**2.
t**2*(t - 2)*(t + 1)**2/5
Suppose 16 = 3*m - r, -2*m + 5*r - 9 - 2 = 0. Suppose 5*w = -4*z - m, -z - z - 8 = 4*w. Factor -3 + y**5 - 2*y**2 + 3*y**4 + 0 + 2*y**3 + z - 3*y.
(y - 1)*(y + 1)**4
Let r(k) be the first derivative of -k**6/36 - k**5/30 + 17. Factor r(x).
-x**4*(x + 1)/6
Suppose -2 = -q - 2. Let q - 3/5*p**2 + 3/5*p = 0. What is p?
0, 1
Factor -1/4 + 1/4*g**2 - 1/2*g + 1/2*g**3.
(g - 1)*(g + 1)*(2*g + 1)/4
Let i = -188/7 - -33847/1260. Let b(s) be the third derivative of 0 - 2*s**2 + 1/18*s**3 - 1/36*s**4 + 0*s + i*s**5. Factor b(f).
(f - 1)**2/3
Let q(v) be the second derivative of -v - 1/180*v**5 + 0*v**4 + 0*v**2 + 0 + 1/540*v**6 + 1/3*v**3. Let u(p) be the second derivative of q(p). Factor u(f).
2*f*(f - 1)/3
Suppose 0 = -3*l - 3 + 15. Let v(s) be the third derivative of 0 - l*s**2 + 0*s**3 + 1/270*s**5 + 0*s**4 + 0*s. Find j, given that v(j) = 0.
0
Let k(h) be the second derivative of -h**4/30 + 2*h**3/15 + 3*h**2/5 + 4*h. Factor k(l).
-2*(l - 3)*(l + 1)/5
Let s(g) = -21*g**3 + g**2 + 16*g + 7. Let r(z) = 11 + 32*z - 5 - 42*z**3 + 2*z**2 + 7. Suppose 2*c = -c - 15. Let w(f) = c*s(f) + 3*r(f). Factor w(q).
-(q - 1)*(3*q + 2)*(7*q + 2)
Let t(k) be the first derivative of 2*k**3/21 + 30*k**2/7 + 450*k/7 - 14. Find f such that t(f) = 0.
-15
Let b(r) be the first derivative of 9*r**5/35 + 3*r**4/2 + 20*r**3/7 + 12*r**2/7 + 2. Determine j so that b(j) = 0.
-2, -2/3, 0
Let a(g) = -3*g**5 - 9*g**4 - 9*g**3 + 9*g**2 + 6. Let x(b) = -7*b**5 - 19*b**4 - 19*b**3 + 19*b**2 + 13. Let w(l) = 13*a(l) - 6*x(l). Factor w(k).
3*k**2*(k - 1)**2*(k + 1)
Factor -8*r**3 - 32*r**4 + 2*r**3 - 18*r**2 - 9*r**3 - 33*r**3 - 2*r.
-2*r*(r + 1)*(4*r + 1)**2
Let w(z) be the second derivative of z**6/160 + z**5/20 + z**4/8 + z**2/2 + 2*z. Let n(q) be the first derivative of w(q). Factor n(d).
3*d*(d + 2)**2/4
Let h(s) be the first derivative of -4*s**3/15 - 2*s**2 + 24*s/5 + 8. Determine b so that h(b) = 0.
-6, 1
Factor 2/3 - 2/3*z**2 + 2/3*z - 2/3*z**3.
-2*(z - 1)*(z + 1)**2/3
Let i be (-1)/10*(-4)/96. Let r(v) be the third derivative of i*v**6 + 0*v + 1/240*v**5 + 0*v**4 + 0 + 1/840*v**7 + v**2 + 0*v**3. Determine a so that r(a) = 0.
-1, 0
Let p be (((-12)/(-5))/3)/((-22)/(-55)). Factor 0*g + 0 - 4/9*g**4 + 2/9*g**3 + 0*g**p + 2/9*g**5.
2*g**3*(g - 1)**2/9
Let f(v) be the first derivative of 0*v**2 - 3/8*v**4 + 0*v + 1/2*v**3 + 4. Factor f(h).
-3*h**2*(h - 1)/2
Let g be ((-4)/20)/(4/(-20)). Let -3*r**3 - 3*r - 15*r**2 - 17 + g - 21*r + 4 = 0. What is r?
-2, -1
Suppose -7*l = -3*l - 8. Let n be (8/4)/(l/3). Let 4*v**n - 7*v**4 - v**2 - 2*v**3 - 5*v + 3*v**5 + 7*v**2 + 1 = 0. What is v?
-1, 1/3, 1
Let s(j) = -4*j**4 - 2*j**3 + 4*j**2 + 4*j - 6. Let g(f) = f**4 + f**2 - f + 1. Let r(l) = -2*g(l) - s(l). Suppose r(c) = 0. Calculate c.
-2, -1, 1
Let z = 24 - 19. Factor 6*i**5 + 4*i**2 - 2*i**5 + 0*i**2 - 24*i**4 + 6*i**3 + 10*i**z.
2*i**2*(i - 1)**2*(7*i + 2)
Let k(f) be the first derivative of -2*f**3/3 + 2*f**2 + 6*f - 1. Factor k(i).
-2*(i - 3)*(i + 1)
Let a(h) = -3*h + 36. Let f be a(12). Let p(o) be the first derivative of 0*o - 1 + 1/18*o**4 + 0*o**3 + f*o**2. Factor p(l).
2*l**3/9
Determine x, given that -2/21*x**2 + 0 + 2/7*x = 0.
0, 3
Let d(a) be the first derivative of a**6/9 + 2*a**5/5 + a**4/2 + 2*a**3/9 + 2. Factor d(v).
2*v**2*(v + 1)**3/3
Let x(r) be the third derivative of 0*r + 2*r**2 - 1/12*r**4 + 1/48*r**6 - 2/3*r**3 + 0 + 1/420*r**7 + 1/20*r**5. Factor x(o).
(o - 1)*(o + 2)**3/2
Let l(w) be the second derivative of w**7/840 - w**6/120 + w**5/40 + w**4/3 - 8*w. Let t(s) be the third derivative of l(s). Let t(q) = 0. Calculate q.
1
Let y = 66 + -25. Solve -o**2 + y*o**3 + 3*o**2 - 39*o**3 - 4*o = 0.
-2, 0, 1
Let l(d) = -6*d. Let q be l(0). Factor 0 + 3/2*m**4 + 3/2*m**3 + 0*m**2 + q*m.
3*m**3*(m + 1)/2
Let h(u) be the first derivative of -2*u**3/9 + u**2/3 + 4*u/3 + 24. Factor h(d).
-2*(d - 2)*(d + 1)/3
Let -2 - 2*t**5 + 0*t**4 + 6*t**4 - 4*t**2 - 112*t**3 + 108*t**3 + 6*t = 0. What is t?
-1, 1
Suppose 7*g**2 - 16*g**2 + 3*g**3 + 6*g + 0*g**3 = 0. What is g?
0, 1, 2
Let k be (6/(-27))/((-65)/234). Let -4/5*u + k + 1/5*u**2 = 0. Calculate u.
2
Let u(z) = z**3 - 13*z**2 + 21*z + 13. Let o be u(11). Let q be (-2)/(-6) + 0/2. Determine l, given that -1/3*l**4 - q*l**o + 0 + 0*l - 2/3*l**3 = 0.
-1, 0
Let s(n) be the first derivative of n**7/210 - n**6/120 - n**2/2 + 1. Let t(v) be the second derivative of s(v). Determine b, given that t(b) = 0.
0, 1
Let n = -7/234 - 965/117. Let u = n - -55/6. Suppose -10/9*o**2 - 2/9*o**4 + 0 + u*o**3 + 4/9*o = 0. Calculate o.
0, 1, 2
Let a(g) be the first derivative of -g**2 + 4 - 1/3*g**3 + 0*g. Factor a(i).
-i*(i + 2)
Let p(f) be the third derivative of f**5/540 - f**4/108 + f**3/54 + 5*f**2. Factor p(z).
(z - 1)**2/9
Let r = 662 + -4624/7. Factor -18/7*h**3 - r*h**4 - 2/7*h**5 + 0 - 4/7*h - 2*h**2.
-2*h*(h + 1)**3*(h + 2)/7
Let m(s) be the second derivative of s - 3*s**2 - 7/4*s**4 - 9/2*s**3 + 0. Factor m(a).
-3*(a + 1)*(7*a + 2)
Let y(o) be the first derivative of -2*o**3 + 4*o**2 + 7. Determine z so that y(z) = 0.
0, 4/3
Let t be (-1)/((-10)/(-4)) + 560/525. Factor 2/3*o**3 + t*o - 4/3*o**2 + 0.
2*o*(o - 1)**2/3
Let x(k) be the first derivative of -8*k**5/5 + k**4 + 32*k**3/3 - 8*k**2 - 10. Factor x(d).
-4*d*(d - 2)*(d + 2)*(2*d - 1)
Suppose 0 = -l - l + 5*a - 5, -3*l + 4*a = 4. Suppose l*g = 2*g. Suppose 2/5*s**4 + g*s**2 + 0 + 2/5*s**3 + 0*s = 0. What is s?
-1, 0
Let j(s) = 7*s**4 + 20*s**3 + 4*s**2 - 9*s. Let d(c) = 4*c**4 + 10*c**3 + 2*c**2 - 4*c. Let y = 11 - 13. Let z(l) = y*j(l) + 5*d(l). Solve z(r) = 0 for r.
-1, 0, 1/3
Let c(o) = -o**2 - 2. Let w(a) = -a**2 + a - 2. Let n(q) = 4*c(q) - 3*w(q). Factor n(k).
-(k + 1)*(k + 2)
Let l(j) be the first derivative of j**3/8 - 3*j**2/4 + 9*j/8 - 21. Determine a so that l(a) = 0.
1, 3
Let f be 2/13 - (-230)/26. Factor -2 + 3*c**4 + 2 - 12*c + f*c**3.
3*c*(c - 1)*(c + 2)**2
Let -2/13*h - 8/13*h**2 + 4/13 + 6/13*h**3 = 0. Calculate h.
-2/3, 1
Suppose -3 = m + 7. Let y = m + 14. Factor 0 + 2/7*h + 6/7*h**2 + 2/7*h**y + 6/7*h**3.
2*h*(h + 1)**3/7
Let u(c) be the first derivative of -3 - 1/6*c**4 + 0*c**2 + 2*c + 2/3*c**3. Let m(t) be the first derivative of u(t). Let m(r) = 0. Calculate r.
0, 2
Let v = -70 - -75. Factor -1/2*b**v + 0 + 0*b**2 + 0*b + 1/2*b**3 + 0*b**4.
-b**3*(b - 1)*(b + 1)/2
Let f(r) = 2*r + r**2 + 2 + 1 - 2. Let c(b) = -b**2 - 3*b - 2. Let u(k) = -2*c(k) - 3*f(k). Find a, given that u(a) = 0.
-1, 1
Let n(v) be the third derivative of -v**6/900 + v**5/300 + v**4/30 - v**3/3 + v**2. Let t(j) be the first derivative of n(j). Let t(u) = 0. Calculate u.
-1, 2
Let d(m) = 5*m**3 - 3*m**2 - 5*m + 3. Let a(l) = -l**3 + l**2 + l