(b) - n(b). Factor y(i).
2*i**2
Let y(r) = -r - 1. Let u(o) = -o**2 - 3*o - 2. Let p(i) = u(i) - 4*y(i). Factor p(v).
-(v - 2)*(v + 1)
Let k(j) be the second derivative of -j**5/20 - j**4/8 + j**3 + 5*j**2/2 + 9*j. Let w(h) be the first derivative of k(h). Factor w(r).
-3*(r - 1)*(r + 2)
Let a(s) = -2*s - 7. Let o be a(-5). Suppose -4*j**3 - 2*j**4 + j - 2*j**3 - 6*j**2 - 3*j + 0*j**o = 0. What is j?
-1, 0
Let r(z) be the third derivative of 1/1995*z**7 + 0*z**3 + 0*z + 2/57*z**4 - 2/285*z**5 + 0 - 1/570*z**6 + 3*z**2. Factor r(f).
2*f*(f - 2)**2*(f + 2)/19
Let i(x) be the third derivative of x**6/60 + 13*x**5/30 + 4*x**4 + 12*x**3 - 8*x**2 - 2*x. Factor i(y).
2*(y + 1)*(y + 6)**2
Factor 9*b - b**2 + 0*b**2 - 2*b**2 + 0*b**2.
-3*b*(b - 3)
Let r(b) = b + 5. Let z be r(-2). Factor 0 + 6/7*i**z - 2/7*i**2 - 6/7*i**4 + 0*i + 2/7*i**5.
2*i**2*(i - 1)**3/7
Let h be 2 + 3 - (-3 - -6). Solve 2/3*w + 4/3*w**h - 2/3 = 0 for w.
-1, 1/2
Factor 4*t**4 + 0*t**4 + 4*t**3 + 4*t**3 - 4*t**3 - 8*t**2.
4*t**2*(t - 1)*(t + 2)
Suppose 5*c = 5*s - 30, -3*s - 4*c - 6 - 4 = 0. Suppose 3*p - s = b, -5*p + 0*b = 4*b - 26. Factor p*k**5 + 0*k + 7/2*k**4 + 0 + k**3 - 1/2*k**2.
k**2*(k + 1)**2*(4*k - 1)/2
Let f = -63 - -319/5. Determine w so that 1/5 + 4/5*w**2 + 2/5*w**3 - w**4 - f*w + 2/5*w**5 = 0.
-1, 1/2, 1
Suppose -8*x**4 + x**5 - 23*x**2 + 4*x - 5*x**5 + 31*x**2 = 0. Calculate x.
-1, 0, 1
Let o(d) be the second derivative of 1/24*d**4 + 3/20*d**6 + 0 - 3*d + 0*d**3 - 3/20*d**5 - 1/21*d**7 + 0*d**2. Let o(b) = 0. Calculate b.
0, 1/4, 1
Let h = -72 + 76. Let t be (-2)/(-16)*-2 - -4. Factor t*k**2 + 1/4*k - 1/2 + 7/4*k**h + 19/4*k**3.
(k + 1)**3*(7*k - 2)/4
Let u(g) be the third derivative of 0*g**4 - g**2 + 0 - 1/840*g**7 + 1/120*g**6 + 0*g + 0*g**3 - 1/60*g**5. Factor u(n).
-n**2*(n - 2)**2/4
Let x be 21/(-18)*12/(-56). Factor 0 - x*v + 1/2*v**2 - 1/4*v**3.
-v*(v - 1)**2/4
Let f(j) = -7*j**5 + 4*j**4 - j**3 - 6*j**2 - 6. Let x(w) = 15*w**5 - 9*w**4 + 2*w**3 + 13*w**2 + 13. Let z(m) = 13*f(m) + 6*x(m). Let z(c) = 0. What is c?
-1, 0
Let f be 0/(-1) + (40/(-5) - -8). Factor -2/9*g**2 - 2/9*g**3 + 0*g + f.
-2*g**2*(g + 1)/9
Let l(m) = -m**2 - 5*m - 3. Let z be l(-2). Suppose 5 + 4 = 3*d. What is f in -4*f - z*f**d + 5*f + 2*f**3 = 0?
-1, 0, 1
Suppose -4*s + 40 = 5*y - s, 3*y + 4*s - 35 = 0. Let t(q) be the first derivative of 2*q + 0*q**2 + 0*q**4 - 1 + 2/5*q**y - 4/3*q**3. Factor t(o).
2*(o - 1)**2*(o + 1)**2
Factor 3/5*l**3 + 3/5*l**4 + 0 - 3/5*l**2 - 3/5*l.
3*l*(l - 1)*(l + 1)**2/5
Let n(w) = -3*w - 18. Let b be n(-7). Let d be (-65)/(-20) + (0 - b). Factor 1/4*y + 1/4 - d*y**2 - 1/4*y**3.
-(y - 1)*(y + 1)**2/4
Let 0 + 0*x - 3/5*x**3 + 21/5*x**2 = 0. What is x?
0, 7
Let m(t) be the first derivative of t**6/2 + 9*t**5/5 + 3*t**4/2 - 2*t**3 - 9*t**2/2 - 3*t + 13. Let m(j) = 0. Calculate j.
-1, 1
Let w(s) = 2*s**2 - s + 2. Let k be w(1). Let p(d) be the second derivative of 0*d**k - 1/60*d**4 + 0 + 3*d + 0*d**2 - 1/100*d**5. Determine l so that p(l) = 0.
-1, 0
Suppose 128*y = 133*y - 10. Suppose -3/2*z**y - 3/4*z**3 + 0 - 3/4*z = 0. Calculate z.
-1, 0
Find d such that -3/4*d**3 + 1/4*d**2 + 3/4*d**5 + 0 + 0*d - 1/4*d**4 = 0.
-1, 0, 1/3, 1
Let h(q) = q - 2. Let r be h(7). Let a(x) be the second derivative of 0*x**2 + 0*x**4 - 1/42*x**7 + 2*x - 1/6*x**3 + 1/10*x**r + 0 + 0*x**6. Factor a(j).
-j*(j - 1)**2*(j + 1)**2
Suppose 4*m - 8 = -0*y - 4*y, 0 = 2*y - 5*m - 11. Factor -2*n**4 - 2/3*n**5 - 2/3*n**2 + 0 + 0*n - 2*n**y.
-2*n**2*(n + 1)**3/3
Let h(n) = -2*n**3 + 9*n**2 + 12*n - 28. Let b(o) = o**3 - 9*o**2 - 13*o + 27. Let y(m) = -3*b(m) - 2*h(m). Find r, given that y(r) = 0.
-5, 1
Let z = -320/3 - -107. Solve -1/3*y**2 + 0 + 0*y - z*y**3 + 1/3*y**5 + 1/3*y**4 = 0 for y.
-1, 0, 1
Let n(t) = -13*t - 5. Let k(a) = 7*a + 3. Let y(s) = -7*k(s) - 4*n(s). Let v be y(1). Factor -3*u**v + 2*u + 3*u**2 - u**2 + 2*u**2.
u*(u + 2)
Let a(y) be the second derivative of -6/25*y**5 + 2/15*y**4 + 0*y**2 - 4*y + 1/15*y**6 + 0*y**3 + 0. Factor a(i).
2*i**2*(i - 2)*(5*i - 2)/5
Let d(c) be the third derivative of 1/60*c**5 + 1/40*c**6 - 2*c**2 + 0*c + 0*c**3 + 0 - 1/12*c**4. Factor d(z).
z*(z + 1)*(3*z - 2)
Let l = 1300091/120 - 10834. Let a(i) be the third derivative of 0*i**4 + 0*i + i**2 + 0 - 1/48*i**8 - l*i**6 - 1/30*i**5 + 0*i**3 - 8/105*i**7. Factor a(q).
-q**2*(q + 1)**2*(7*q + 2)
Let n = -26 - -31. Suppose o + 3*x + 2 = 8, 10 = -5*o + n*x. Factor 1/4*w**3 - 1/2*w**2 + o + 1/4*w.
w*(w - 1)**2/4
Let u = 13/57 + 2/19. Determine y, given that -u*y**3 - 3*y + 0 + 2*y**2 = 0.
0, 3
Let r(i) be the first derivative of -1/12*i**6 + 0*i**4 + 0*i**2 - 3 + 0*i**3 + 0*i + 0*i**5. Suppose r(x) = 0. Calculate x.
0
Let x(g) be the first derivative of g**5/30 + g**2 - 2. Let a(r) be the second derivative of x(r). Factor a(y).
2*y**2
Let j(r) be the second derivative of -r**7/189 + 4*r**6/135 - r**5/30 - 2*r**4/27 + 4*r**3/27 + 14*r. Let j(w) = 0. Calculate w.
-1, 0, 1, 2
Let z(y) be the third derivative of -y**6/120 - y**5/30 - y**4/24 - y**2. Factor z(o).
-o*(o + 1)**2
Let v = -3/2 - -11/6. Determine s so that -2/3*s - 1/3*s**2 - v = 0.
-1
Let v(h) be the first derivative of -h**5/40 + h**3/4 - h**2/2 - h + 3. Let t(r) be the first derivative of v(r). Factor t(u).
-(u - 1)**2*(u + 2)/2
Let c(y) be the second derivative of y**7/84 + 2*y**6/15 + 23*y**5/40 + 7*y**4/6 + y**3 + 16*y - 3. Suppose c(x) = 0. What is x?
-3, -2, -1, 0
Let v(f) be the first derivative of 0*f + 0*f**3 - 1/6*f**2 + 4 + 1/12*f**4. Suppose v(c) = 0. Calculate c.
-1, 0, 1
What is l in -8*l**3 - 51*l**2 + 51*l - 3*l**4 + 11*l**3 + 18*l**3 - 18 = 0?
1, 2, 3
Let v = -3/170 - -349/510. Solve 2/3*d**4 + 4/3*d**3 - v + 0*d**2 - 4/3*d = 0.
-1, 1
Let f(n) be the first derivative of -1/3*n**3 - 2 - 1/2*n**2 + 0*n. Factor f(t).
-t*(t + 1)
Factor 0 + 3/8*n - 3/8*n**2.
-3*n*(n - 1)/8
Let l be (-68)/(-18) - (-8)/36. Let u(n) be the second derivative of -2*n + 1/12*n**3 - 1/40*n**5 + 0 + 0*n**2 - 1/24*n**l + 1/60*n**6. Factor u(p).
p*(p - 1)**2*(p + 1)/2
Let i(o) = o**3 + 3*o**2 - 2*o - 4. Let b be i(-3). Suppose 2 - 2 - 2*z**5 + b*z**3 = 0. What is z?
-1, 0, 1
Let o = 22 - 20. Factor 0 + o*a + 2*a - 3 - 1 + 3*a**2.
(a + 2)*(3*a - 2)
Let l(y) be the first derivative of -y**4/18 + 2*y**3/27 + 4*y**2/9 - 8*y/9 - 26. Factor l(a).
-2*(a - 2)*(a - 1)*(a + 2)/9
Suppose -f + 41 = 9. Let o be (-15)/5 + f/10. Factor 0*w + 0*w**3 - 1/5*w**2 + 0 + o*w**4.
w**2*(w - 1)*(w + 1)/5
Let r(h) = -5*h - 18. Let x be r(-4). Let j(w) be the third derivative of -1/60*w**4 + 0 - 2/15*w**3 + 0*w + 1/150*w**5 + x*w**2. Factor j(n).
2*(n - 2)*(n + 1)/5
Let p(g) = g**3 + 2. Let o be p(0). Let u(b) be the first derivative of -1/7*b**o - 2 - 2/21*b**3 + 0*b. Let u(c) = 0. Calculate c.
-1, 0
What is q in 0 - 4/7*q + 2/7*q**2 + 2/7*q**3 = 0?
-2, 0, 1
Let l(o) be the first derivative of 4/3*o + o**2 + 5 + 2/9*o**3. Let l(b) = 0. Calculate b.
-2, -1
Let n(m) = -m - 1. Let w(k) = 7*k**2 - 2*k + 3. Let l(j) = 4*j - 3 - 15*j**2 - 4 + 0*j. Let v(a) = -6*l(a) - 13*w(a). Let o(t) = 4*n(t) + v(t). Factor o(f).
-(f + 1)**2
Suppose -3*i + 23 = -5*d, d = 3*i - 2*d - 21. Let n(y) be the first derivative of -1/2*y**4 + 1/2*y**i - 1/5*y**5 - 2 + 0*y**2 + 0*y**3 + 0*y. Factor n(w).
w**3*(w - 1)*(3*w + 2)
Let l(b) be the first derivative of 2*b**6/3 + 4*b**5 + 8*b**4 + 16*b**3/3 - 3. Determine s, given that l(s) = 0.
-2, -1, 0
Let m be (-4)/8 - (52/(-8) + 1). Let f(d) be the first derivative of 0*d - 1/9*d**3 + 1/15*d**m + 1/6*d**2 + 3 - 1/12*d**4. Factor f(i).
i*(i - 1)**2*(i + 1)/3
Let w = -9 - -5. Let g(t) = 16*t**3 + 43*t**2 + 12*t + 5. Let x(s) = -17*s**3 - 44*s**2 - 12*s - 4. Let o(z) = w*g(z) - 5*x(z). Factor o(i).
3*i*(i + 2)*(7*i + 2)
Let g(t) be the third derivative of -t**7/42 + t**6/8 - t**5/12 - 5*t**4/8 + 5*t**3/3 + 14*t**2. Find u, given that g(u) = 0.
-1, 1, 2
Let b(u) be the third derivative of 0 + 0*u**5 - 1/20*u**4 + 0*u + 1/300*u**6 + 5*u**2 + 2/15*u**3. Suppose b(n) = 0. What is n?
-2, 1
Let u(w) = -6*w**4 + 14*w**2. Suppose -2*r = r - 24. Let q(j) be the first derivative of 4*j**5/5 - 3*j**3 + 2. Let f(m) = r*q(m) + 5*u(m). Factor f(h).
2*h**2*(h - 1)*(h + 1)
Let c(r) be the third derivative of r**8/112 + 9*r**7/70 + 7*r**6/20 - 14*r**5/5 - 12*r**4 + 64*r**3 + 3*r