 3)
Let w = 2/51 - -5/17. Factor 4/3*d + 0 + w*d**3 - 4/3*d**2.
d*(d - 2)**2/3
Let p(i) be the second derivative of -i**7/147 + i**6/105 + 3*i**5/70 - 5*i**4/42 + 2*i**3/21 - 21*i. Let p(y) = 0. What is y?
-2, 0, 1
Let y(x) be the second derivative of -3*x**5/20 + x**4/2 - x**3/2 + 10*x. Factor y(l).
-3*l*(l - 1)**2
Suppose 4*x - 64 = 2*s + 26, 4*x - s = 87. Factor -21*z**2 + 15*z**3 - 21 + 6*z + x.
3*z*(z - 1)*(5*z - 2)
Let m(z) = -z - 1. Let h(p) = -2*p**2 + 12*p + 10. Let q(b) = -h(b) - 10*m(b). Solve q(k) = 0.
0, 1
Let n(u) = -u - 1. Let s be n(-4). Suppose 3*h + h = -2*p, -4*h = -s*p. Solve -2/9*v**2 + 2/9*v + p = 0 for v.
0, 1
Let g(f) be the first derivative of f**5/30 - f**4/12 + 17. Let g(l) = 0. Calculate l.
0, 2
Let t(w) be the third derivative of w**9/52920 + w**8/23520 + 7*w**4/24 + 2*w**2. Let d(c) be the second derivative of t(c). Suppose d(s) = 0. Calculate s.
-1, 0
Let f(h) = -h**2. Let c(d) = 2*d**2 - 4*d + 4. Let n(y) = c(y) + f(y). Factor n(r).
(r - 2)**2
Let v(j) = j**3 + 4*j**2 + 26*j - 34. Let f(a) = 5*a**2 + 25*a - 35. Let y(z) = 6*f(z) - 5*v(z). Find q such that y(q) = 0.
-2, 2
Let j(u) = -5*u**3 - 5*u**2 + 5*u - 3. Let a(h) = 6*h**2 - 2 + 1 - 6*h + 3 + 6*h**3 + 2. Let s(l) = 4*a(l) + 5*j(l). Factor s(v).
-(v - 1)*(v + 1)**2
Let s(f) be the second derivative of f**9/4536 - f**8/1260 + f**6/270 - f**5/180 + f**3/2 + f. Let t(i) be the second derivative of s(i). Solve t(y) = 0 for y.
-1, 0, 1
Let h(v) be the second derivative of -v**6/15 + v**5/20 + v**4/2 - 7*v**3/6 + v**2 + 10*v. Find t such that h(t) = 0.
-2, 1/2, 1
Let k(u) be the first derivative of u**3 - 3*u**2 + 3*u + 1. Let k(x) = 0. What is x?
1
Solve -2*k - 3*k**3 + 5*k + 0*k = 0 for k.
-1, 0, 1
Let b(g) be the third derivative of -g**7/2940 + g**5/420 + g**3 + 2*g**2. Let i(v) be the first derivative of b(v). Factor i(x).
-2*x*(x - 1)*(x + 1)/7
Let z(i) be the third derivative of -i**7/350 + i**5/50 - i**3/10 + 22*i**2 + i. Determine r so that z(r) = 0.
-1, 1
Let t be 6/(1 + (-3)/(-6)). Suppose t*f = 3*n - 2*n, 3*n + 2*f = 14. Solve 3*k - 7*k + 4*k**3 + 0*k**n + 2 - 2*k**4 = 0 for k.
-1, 1
Let f = -2 - -7. Suppose -11*m**3 - 16*m**4 + 4*m**5 + m**2 - 11*m**f - 3*m**2 = 0. What is m?
-1, -2/7, 0
Let z(m) be the second derivative of -m**6/10 - 3*m**5/4 - 3*m**4/2 + 2*m**3 + 12*m**2 - 7*m. Factor z(g).
-3*(g - 1)*(g + 2)**3
Let f(s) be the third derivative of s**5/100 + s**4/10 + 2*s**3/5 + 4*s**2. Factor f(o).
3*(o + 2)**2/5
Let m(u) = 5*u**2 + 9*u + 4. Let d(t) be the first derivative of t**3/3 + t**2/2 - 8. Let p be -6 + 4 - (0 + -3). Let i(v) = p*m(v) - 3*d(v). Factor i(s).
2*(s + 1)*(s + 2)
Let i(o) = o**3 - 4*o**2 - 4*o - 5. Let m be i(5). Let d = 2 + m. Factor -1 - n**3 + 2*n**4 + n + 1 - d*n**2.
n*(n - 1)*(n + 1)*(2*n - 1)
Let f(r) be the first derivative of 1/80*r**5 + 2 - 1/8*r**3 + 1/160*r**6 - 1/32*r**4 - 2*r**2 + 0*r. Let c(q) be the second derivative of f(q). Factor c(j).
3*(j - 1)*(j + 1)**2/4
Let r be (-7 - -4)*2/(-54). Let n(x) be the second derivative of -r*x**2 - 1/54*x**4 - x - 2/27*x**3 + 0. What is a in n(a) = 0?
-1
Suppose 16*b + 15 = 19*b. Let h = 3 + 0. Factor 2*s - 2*s**b - 2*s - s**4 + s**2 - s**3 + h*s**5.
s**2*(s - 1)**2*(s + 1)
Let c(r) be the third derivative of -r**8/560 - r**7/350 - 10*r**2. Suppose c(o) = 0. Calculate o.
-1, 0
Let -12 + 4*n**3 - 11*n + 9*n + n**2 - 2*n + 11*n**2 = 0. What is n?
-3, -1, 1
Let l(h) be the first derivative of h**3 + 4 + 1/4*h**4 + h + 3/2*h**2. Factor l(x).
(x + 1)**3
Let i(k) = 9*k**4 + 7*k**3 - 3*k**2. Let h(o) = -o**4 + o**3 + o**2. Let z(b) = -h(b) + i(b). Suppose z(d) = 0. What is d?
-1, 0, 2/5
Let k = -13 + 16. Let s(v) be the first derivative of 0*v**4 + 0*v + 1/3*v**2 + k - 4/15*v**5 + 4/9*v**3 - 1/9*v**6. Factor s(r).
-2*r*(r - 1)*(r + 1)**3/3
Let m(w) be the second derivative of 0*w**5 + 0*w**3 + 0*w**2 - 3*w - 1/18*w**4 + 1/45*w**6 + 0. Let m(j) = 0. Calculate j.
-1, 0, 1
Let v(u) = -8*u - 4. Let q(g) = -g**2 + 8*g + 4. Let i(f) = 4*q(f) + 5*v(f). Factor i(o).
-4*(o + 1)**2
Suppose -3*v + 11 - 2 = 0. Suppose 6*r + v*m = r + 17, -2*r + 5 = 3*m. Let -1/2*h**r + 0*h - 1/2*h**3 + 0 + 1/2*h**2 + 1/2*h**5 = 0. What is h?
-1, 0, 1
Solve -13/5*z**3 + 3/5*z**4 - 2/5 + 9/5*z + 4/5*z**5 - 1/5*z**2 = 0 for z.
-2, -1, 1/4, 1
Let 12 - 18*c**3 + 33*c - 129/2*c**2 = 0. What is c?
-4, -1/4, 2/3
Let r(s) be the second derivative of -3*s**5/40 - s**4/8 + s**3/4 + 3*s**2/4 + 8*s. Solve r(b) = 0 for b.
-1, 1
Let i be (3 + (-150)/48)*-2. Factor 1/4 + i*j**3 - 1/4*j - 1/4*j**2.
(j - 1)**2*(j + 1)/4
Let g = 1 + 3. Let f be (0 + 2)*(-6)/(-6). Factor 2*x - 2*x**2 + f*x - g*x**2.
-2*x*(3*x - 2)
Let t(h) be the third derivative of 0 + 0*h + 1/600*h**6 + 1/100*h**5 + 1/30*h**3 - 2*h**2 + 1/40*h**4. Let t(r) = 0. Calculate r.
-1
Let y(o) = o**4 - o**3 - 8*o**2 + 6*o + 2. Suppose -6*v = -5*v + 1. Let a(w) = -w**2 + w. Let x(h) = v*y(h) + 5*a(h). Factor x(f).
-(f - 2)*(f - 1)*(f + 1)**2
Suppose 0 = -4*v + 4*c - 12, 0 = -2*v + 2*c - 5*c + 19. Let z**4 - z**v + 0*z**3 + 1/2*z**5 + 0 - 1/2*z = 0. Calculate z.
-1, 0, 1
Let f(s) be the third derivative of s**8/1680 - 5*s**3/6 - 3*s**2. Let t(i) be the first derivative of f(i). Factor t(w).
w**4
Let q(k) = k**2 + 7*k - 9. Let b be q(-8). Let s(a) = 3*a**2 + a. Let o be s(b). Determine x, given that 3*x + x - o*x - 2*x**3 + 2*x**4 - 2*x**2 = 0.
-1, 0, 1
Let q(j) be the second derivative of j**4/4 - 2*j**3 - 11*j. Solve q(b) = 0 for b.
0, 4
Let u(j) be the third derivative of -j**6/2700 - j**5/450 - j**3/3 - 2*j**2. Let n(b) be the first derivative of u(b). Factor n(g).
-2*g*(g + 2)/15
Let w(q) be the third derivative of -1/150*q**6 - 3*q**2 + 0 + 0*q**7 + 0*q**5 + 0*q + 0*q**3 + 1/840*q**8 + 1/60*q**4. Suppose w(r) = 0. Calculate r.
-1, 0, 1
Let q(z) = 27*z**5 - 36*z**4 - 8*z**3 + 29*z**2 - 19*z. Let t(j) = 9*j**5 - 12*j**4 - 3*j**3 + 10*j**2 - 6*j. Let p(m) = -2*q(m) + 7*t(m). Factor p(d).
d*(d - 1)*(d + 1)*(3*d - 2)**2
Let y(a) be the first derivative of -a**5/10 - 3*a**4/8 - a**3/6 + 3*a**2/4 + a + 16. Determine f, given that y(f) = 0.
-2, -1, 1
Let t(b) be the first derivative of 1/6*b**3 + 3/20*b**5 - 2 + 0*b**2 - 2*b + 1/30*b**6 + 1/4*b**4. Let q(g) be the first derivative of t(g). Factor q(v).
v*(v + 1)**3
Let j(w) be the first derivative of -14*w**5/65 + w**4/13 + 14*w**3/39 - 2*w**2/13 - 34. Find s such that j(s) = 0.
-1, 0, 2/7, 1
Let v(k) = -k**2 - 4*k + 3. Let u(n) = n**2 + 5*n - 4. Let p(c) = -3*u(c) - 4*v(c). Factor p(z).
z*(z + 1)
Let j(t) = -t - 6*t**2 + 0 - 2*t**3 - 3 + t**2 + 2*t**2. Let c(r) = 5 + 2*r**3 + r**3 + 7*r**2 + 2*r - 2*r**2. Let m(v) = -3*c(v) - 5*j(v). Factor m(o).
o*(o - 1)*(o + 1)
Factor -10*k**2 - 288/5 + 336/5*k + 2/5*k**3.
2*(k - 12)**2*(k - 1)/5
Let v(o) = o**2 - 4*o + 1. Suppose -11 = -4*s + 13. Let y be v(s). Solve -22*j**4 - 3*j**5 - y*j**2 - 5*j**2 - 3*j**5 - 30*j**3 - 4*j = 0 for j.
-1, -2/3, 0
Suppose 0*o + 5*l = o + 30, -3*o = 4*l - 5. Let f be (9/15 - 1)*o. Factor 5*i + 2*i**4 - i + 2 - 19*i**2 + 2*i**5 + 15*i**f - 4*i**3 - 2*i.
2*(i - 1)**2*(i + 1)**3
Let y be (-5 - (-93)/6)/(33/28). Factor 140/11*l**2 + 16/11 - y*l**3 + 104/11*l.
-2*(l - 2)*(7*l + 2)**2/11
Let u(j) be the second derivative of -5*j - 1/2*j**2 - 1/30*j**6 + 0*j**3 + 0 + 0*j**5 + 1/6*j**4. Solve u(q) = 0 for q.
-1, 1
Let t = -2096/7 + 300. Let p be (-180)/252 + 1 + 0. Suppose -2/7*c**4 + t*c + p - 4/7*c**3 + 0*c**2 = 0. What is c?
-1, 1
Suppose -3*m - 2*g - 4 = 0, 0*g + 8 = -4*g. Let j = 34/69 - -4/23. Factor -2/3*y**5 + m*y + j*y**3 - 2/3*y**2 + 0 + 2/3*y**4.
-2*y**2*(y - 1)**2*(y + 1)/3
Let x(m) be the first derivative of -m**3 + 15*m**2 - 75*m - 11. Factor x(l).
-3*(l - 5)**2
Find d such that 4/3*d**2 + 0*d - 4/3*d**3 + 0 = 0.
0, 1
Let 3*r**2 - 5*r**2 - 2*r**4 + 4*r**2 = 0. Calculate r.
-1, 0, 1
Let u(n) be the second derivative of n**6/255 - n**5/170 + 11*n. Factor u(j).
2*j**3*(j - 1)/17
Let j(h) be the third derivative of 0*h**3 + h**2 - 1/210*h**5 + 0*h + 0 - 1/42*h**4. Factor j(q).
-2*q*(q + 2)/7
Suppose -4*b + 18 = 2*z, 4*b + 5 = -3*z + 24. Factor 8*w**3 + 18*w**4 - 11*w**b + 4*w**2 - 3*w**4.
4*w**2*(w + 1)**2
Let v(x) be the third derivative of -3/5*x**5 - x**4 - 2/3*x**3 + 0*x + 2*x**2 + 0. Factor v(f).
-4*(3*f + 1)**2
Let j(v) = -v. Let p be j(-2). 