r b(z).
2*z**2*(z - 1)*(z + 1)/5
What is v in 1/3*v**2 + 1/3 + 2/3*v = 0?
-1
Let u be 3/(-27)*(-17 + 14). Determine m, given that 2/3*m**2 - 1/3 - 1/3*m**4 + 1/3*m - 2/3*m**3 + u*m**5 = 0.
-1, 1
Solve -16/3*r**2 - 4/3*r**3 - 4*r + 0 = 0 for r.
-3, -1, 0
Factor 12*x - 7*x**2 + 4*x**2 - x**2 - 18 + 2*x**2.
-2*(x - 3)**2
Let k(s) be the third derivative of s**8/840 - s**7/525 - s**6/300 + s**5/150 - 4*s**2. Factor k(d).
2*d**2*(d - 1)**2*(d + 1)/5
Let -7*h - 1 + 4 - 1 - h**3 + 10*h**3 = 0. Calculate h.
-1, 1/3, 2/3
Solve -77*t + 60*t**3 - 14*t**4 + 17*t - 109 - 129 - 2*t**2 + 254 = 0.
-1, 2/7, 1, 4
Let w(v) = 2*v**2 + 2*v**2 - 5*v - 5*v**2. Let f(q) = 3*q**2 + 18*q. Let u(d) = -5*f(d) - 18*w(d). What is y in u(y) = 0?
0
Let y(o) = -14*o**4 - 60*o**3 - 72*o**2 - 16*o + 3. Let i(j) = 14*j**4 + 60*j**3 + 72*j**2 + 16*j - 4. Let x(v) = -3*i(v) - 4*y(v). Find b such that x(b) = 0.
-2, -2/7, 0
Let w(u) = u**2 + 6*u + 10. Let d(o) = -o. Let z(v) = -15*d(v) + 3*w(v). Determine k, given that z(k) = 0.
-10, -1
Let c(p) be the second derivative of -p**6/135 + 2*p**5/9 - 59*p**4/27 + 20*p**3/3 - 9*p**2 - 24*p. Factor c(n).
-2*(n - 9)**2*(n - 1)**2/9
Let v(w) be the first derivative of 2*w**6/15 - w**4/5 + 25. Solve v(s) = 0.
-1, 0, 1
Let z(v) be the first derivative of -1/5*v**4 - 1/5*v - 2/5*v**3 - 1/25*v**5 - 3 - 2/5*v**2. Factor z(f).
-(f + 1)**4/5
Let w = 24/11 + -76/55. Factor 0 - 2/5*i**2 + w*i.
-2*i*(i - 2)/5
Let u(s) be the third derivative of 2*s**6/225 - s**5/75 + s**4/120 - s**3/3 + 4*s**2. Let g(f) be the first derivative of u(f). Factor g(r).
(4*r - 1)**2/5
Suppose -4*w + 12 = 0, 6*y + 5*w - 35 = 2*y. Let n(t) be the first derivative of 0*t - 1/6*t**4 + 2 + 1/3*t**2 + 2/9*t**3 - 2/15*t**y. Factor n(k).
-2*k*(k - 1)*(k + 1)**2/3
Let u(k) = -k**3 + 2*k**2 + 4*k. Let j be u(3). Suppose 6 = -0*t + j*t. Factor 7/4*p**5 + 1/2*p**3 + 0 - 9/4*p**4 + 0*p**t + 0*p.
p**3*(p - 1)*(7*p - 2)/4
Let r(q) be the second derivative of q**5/60 + 7*q**4/36 + 8*q**3/9 + 2*q**2 - 32*q - 1. Factor r(c).
(c + 2)**2*(c + 3)/3
Let g(o) = -10*o**3 - 15*o**2 - 10*o + 4. Let h(r) = -9*r**3 - 15*r**2 - 9*r + 3. Let s(d) = -3*g(d) + 4*h(d). Factor s(i).
-3*i*(i + 2)*(2*i + 1)
Let h(c) be the first derivative of -64*c**3/27 + 8*c**2/9 - c/9 + 33. Let h(x) = 0. Calculate x.
1/8
Let l(a) = -a**2 - 23*a - 58. Let v be l(-20). Factor -12/5*d**v - 3*d - 3/5.
-3*(d + 1)*(4*d + 1)/5
Factor 3/4*w**3 - 12 + 15*w - 6*w**2.
3*(w - 4)*(w - 2)**2/4
Let b be (3/15 - (-2)/(-10))*-1. Find z such that b*z + 0 + 1/4*z**2 = 0.
0
Determine u so that 2/3*u**3 + 8/3 - 2*u**2 + 0*u = 0.
-1, 2
Let d(g) = -6*g - 1. Let o be d(-1). Factor -1 + l**o - 2*l**3 + l + 1.
l*(l - 1)**2*(l + 1)**2
Determine t so that 17/6*t + 7/3*t**2 + 0*t**3 + 1 - 2/3*t**4 - 1/6*t**5 = 0.
-3, -1, 2
Determine c so that 480*c**2 - 19*c - 3*c - 80 - 209*c - 260*c**3 + 45*c**4 - 9*c = 0.
-2/9, 2
Let q(g) = g - 2. Let d be q(0). Let u be (d*1/2)/(-2). Let -1/2*r + 1/2 - u*r**2 + 1/2*r**3 = 0. Calculate r.
-1, 1
Let l be ((-8)/30)/(2/(-10)). Factor 2/3 + 4/3*g**3 - 2/3*g**4 - l*g + 0*g**2.
-2*(g - 1)**3*(g + 1)/3
Let -10*c**2 + 2*c + 9*c**2 + 2 - 3*c**3 - 6*c**2 + 5*c**4 + c = 0. Calculate c.
-1, -2/5, 1
Let g(f) = f - 1. Let x(s) = 8*s**2 + 4. Suppose -35 = -5*r + 5*m, -4*r = -5*m - 30 - 2. Suppose 0 - r = -3*w. Let o(j) = w*x(j) + 6*g(j). Factor o(c).
2*(c + 1)*(4*c - 1)
Determine c, given that 0 + 0*c - 4*c**4 + 28/9*c**3 + 8/9*c**2 = 0.
-2/9, 0, 1
Let w(n) = n**3 - n**2 + n + 1. Let y(z) = -6*z**3 + 6*z**2 - 5*z - 6. Suppose 4*r + 51 = 7. Let o(x) = r*w(x) - 2*y(x). Determine j so that o(j) = 0.
-1, 1
Let o(b) = b**3 - b - 2. Let n be o(2). Factor -5/3*c**3 - 4/3*c**2 - 1/3*c + 0 - 2/3*c**n.
-c*(c + 1)**2*(2*c + 1)/3
Let z(s) be the first derivative of -2*s**3/45 + s**2/15 + 4*s/15 + 8. Solve z(m) = 0 for m.
-1, 2
Let g(v) be the second derivative of -1/10*v**5 + 11/15*v**4 + 0 - 5*v + 8/5*v**2 - 28/15*v**3. Factor g(c).
-2*(c - 2)**2*(5*c - 2)/5
Factor 2*t**2 - 21*t + 4*t**2 + t**2 + 3*t**3 + 11*t**2.
3*t*(t - 1)*(t + 7)
Let k(h) be the third derivative of h**6/140 + h**5/210 - h**4/42 + 5*h**2. Suppose k(c) = 0. Calculate c.
-1, 0, 2/3
Suppose -23 = -3*c + r, 2*c - 3*r = 2*r + 24. Find v, given that -v**3 + 2*v + 2*v**3 - 6*v**2 + 2*v**2 + c*v**2 = 0.
-2, -1, 0
Let f(c) be the first derivative of -3*c**5/7 - 9*c**4/7 - 4*c**3/7 - 8. Find g, given that f(g) = 0.
-2, -2/5, 0
Factor -3*a**2 + 2*a**3 + a**3 - 3*a**2 - 6 - 3*a + 12.
3*(a - 2)*(a - 1)*(a + 1)
Let h(s) be the first derivative of -50*s**6 - 147*s**5 - 93*s**4/4 + 118*s**3 - 6*s**2 - 24*s - 1. Let h(k) = 0. What is k?
-2, -1, -1/4, 2/5
Factor -28/15*v**3 - 46/5*v**2 - 56/3*v - 2/15*v**4 - 40/3.
-2*(v + 2)**2*(v + 5)**2/15
Let h(d) be the third derivative of -d**8/840 + d**6/150 - d**4/60 - 3*d**2. Find n such that h(n) = 0.
-1, 0, 1
Let g = 5 - -5. Suppose 3*y + g = -5. Let n(i) = i**5 + 9*i**3. Let x(k) = k**5 + 13*k**3. Let l(f) = y*x(f) + 7*n(f). Factor l(v).
2*v**3*(v - 1)*(v + 1)
Let i(a) be the third derivative of a**5/42 + 17*a**4/84 + 2*a**3/7 - 12*a**2. Solve i(m) = 0 for m.
-3, -2/5
Let b(f) = 27*f**4 + 52*f**3 + 21*f**2 + 10*f. Let n(g) = -9*g**4 - 17*g**3 - 7*g**2 - 3*g. Let r(a) = -6*b(a) - 21*n(a). Factor r(i).
3*i*(i + 1)*(3*i + 1)**2
Suppose 66 - 36 = 6*p. Determine i so that -1/3 + 1/3*i - 1/3*i**4 + 2/3*i**2 + 1/3*i**p - 2/3*i**3 = 0.
-1, 1
Let f = 346/3 - 1706/15. Factor 2*x**2 + 16/5*x + 2/5*x**3 + f.
2*(x + 1)*(x + 2)**2/5
Let x = 5 - 7. Let w(c) = c**5 - c**3 + c**2 + c - 1. Let n(p) = -4*p**5 + 4*p**4 + 2*p**3 - 6*p**2 + 2. Let r(y) = x*w(y) - n(y). Factor r(t).
2*t*(t - 1)**3*(t + 1)
Let u(b) be the second derivative of -b**6/6 + b**5/4 + 25*b**4/12 + 5*b**3/2 - 12*b + 1. Factor u(g).
-5*g*(g - 3)*(g + 1)**2
Factor 6*x**2 - 34*x**3 - 3*x + 32*x**3 - x.
-2*x*(x - 2)*(x - 1)
Let k(t) be the second derivative of t**7/168 + t**6/40 + 3*t**5/80 + t**4/48 - 4*t. Factor k(m).
m**2*(m + 1)**3/4
Let q(w) be the third derivative of 0 + 0*w - 11/240*w**6 + 1/12*w**3 - 1/48*w**4 - 1/105*w**7 - 3/40*w**5 + 3*w**2. Determine n so that q(n) = 0.
-1, 1/4
Let a = 986 + -984. Factor -2/3 + 2/3*q - 2/3*q**3 + 2/3*q**a.
-2*(q - 1)**2*(q + 1)/3
Suppose -3*h = h - 12. Let v(g) = -6*g**3 - 15*g**2 - 10*g + 2. Let k(o) = o**3 - o + 1. Let a(t) = h*k(t) - v(t). Let a(n) = 0. What is n?
-1, -1/3
Let x(d) be the third derivative of d**7/105 - d**6/10 + 2*d**5/5 - 5*d**4/6 + d**3 + 6*d**2 + 1. Factor x(o).
2*(o - 3)*(o - 1)**3
Factor 16/3*q + 11/3*q**3 + 64/3 - 1/3*q**4 - 12*q**2.
-(q - 4)**3*(q + 1)/3
Determine i so that -10/3*i**2 + 8/3 - 2/3*i = 0.
-1, 4/5
Let v(y) = -y - 4. Let p be v(-4). Let k(n) be the third derivative of p + 0*n + 1/30*n**4 - n**2 + 1/15*n**3 + 1/150*n**5. Determine d, given that k(d) = 0.
-1
Suppose 18 = 7*b - 24. Suppose -b = -2*o - 2*c, -5*o + 11 = -0*c + c. Factor -9/2*q**2 - 7/2*q**3 + o + 6*q.
-(q - 1)*(q + 2)*(7*q + 2)/2
Let i(m) be the first derivative of 2*m**6/15 - 3*m**5/25 - 9*m**4/20 - 2*m**3/15 - 1. Let i(w) = 0. Calculate w.
-1, -1/4, 0, 2
Let d(b) = -2*b**2 + 36*b - 158. Let o(h) = 6*h**2 - 108*h + 472. Let i(v) = 14*d(v) + 4*o(v). Solve i(k) = 0.
9
Let c be 0/((-42)/(-7)) + 0 + 2. Solve -3/2 - 3/2*z**4 + 6*z**3 + 6*z - 9*z**c = 0 for z.
1
Let l(x) be the first derivative of -x**5/120 - x**4/24 - x**3/12 - x**2 - 4. Let y(o) be the second derivative of l(o). Factor y(b).
-(b + 1)**2/2
Let z(t) = t**4 + t**3 - t + 1. Let v(s) = -4*s**4 - 6*s**3 - 3*s**2 + 2*s - 3. Let u(i) = -5*v(i) - 15*z(i). Solve u(n) = 0 for n.
-1, 0
Let z be (-3)/6 + (77/2)/11. Determine f, given that 8/3*f**2 + 8/3*f**4 - 2/3*f - 4*f**z + 0 - 2/3*f**5 = 0.
0, 1
Solve -5 - 5 + 13 + 0 - 3*n**2 = 0.
-1, 1
Let h(g) be the third derivative of -1/270*g**5 + 0*g + 0 - 4*g**2 - 1/27*g**3 + 1/54*g**4. Find c such that h(c) = 0.
1
Let b(r) be the third derivative of r**9/9072 + r**8/2520 + r**7/2520 - r**3/6 - r**2. Let h(n) be the first derivative of b(n). Find m such that h(m) = 0.
-1, 0
Let i(v) = 140*v**4 + 592*v**3 + 780*v**2 + 392*v + 40. Let o(r) = 56*r**4 + 237*r**3 + 312*r**2 + 157*r + 16. Let x(y) = 5*i(y) - 12*o(y). Factor x(j).
4*(j + 1)**2*(j + 2)*(7*j + 1)
Let c(d) be the second derivative of -d**7/21 + d**6/15 + d**5/5 - d**4/3 - d**3/3 + d**2 + 2*d.