3 - 3*y**2 - y + 0*y + 2 = 0.
-1, 2/5
Let l be (41/(-123))/(1*-1*1). Factor 0 - l*v**2 + 1/3*v.
-v*(v - 1)/3
Let t(i) = 2*i**3 - 22*i**2 - 8*i - 5. Let r(y) = -y**3 + 21*y**2 + 9*y + 5. Let m(a) = -7*r(a) - 6*t(a). Factor m(h).
-5*(h + 1)**3
Let r(q) be the first derivative of -9/5*q**5 + 0*q**3 + 0*q**2 - 3 + 1/2*q**4 + 0*q + 7/6*q**6. Factor r(v).
v**3*(v - 1)*(7*v - 2)
Let p(d) be the third derivative of d**6/180 - d**5/30 + d**4/18 - 2*d**2. Factor p(u).
2*u*(u - 2)*(u - 1)/3
Determine q, given that -125/8 - 75/8*q - 1/8*q**3 - 15/8*q**2 = 0.
-5
Let c(y) = y**2 - 10*y - 14. Let t be c(12). Let u be (-24)/(-75)*25/t. Factor 2/5*o + 2/5*o**3 - u*o**2 + 0.
2*o*(o - 1)**2/5
Let p(u) be the second derivative of -1/4*u**2 + 0 + 1/24*u**4 - 1/40*u**5 + 1/12*u**3 - 3*u. Determine f, given that p(f) = 0.
-1, 1
Let i(h) be the second derivative of -h**5/10 + h**4/2 - h**3 + h**2 + h. Factor i(z).
-2*(z - 1)**3
Let j(c) be the first derivative of c**7/105 - c**6/20 + c**4/3 - 7*c**2/2 - 2. Let k(t) be the second derivative of j(t). Solve k(d) = 0.
-1, 0, 2
Let q = 107/2 + -53. Suppose 1/4 - q*b + 1/4*b**2 = 0. What is b?
1
Let n(v) be the second derivative of 0 + 1/30*v**5 - 1/18*v**4 + 0*v**3 - 2*v + 0*v**2. Let n(t) = 0. Calculate t.
0, 1
Let k be 0/(-1 - 5/(-1)). Let s(f) be the second derivative of k*f**4 + 0*f**2 + 3*f + 0 - 1/18*f**3 + 1/60*f**5. Factor s(q).
q*(q - 1)*(q + 1)/3
Suppose -24 = -5*z - 4*n, -z - 3*n - 1 = -2*z. Let 2*v**4 + 0*v**4 - 2*v - 2*v**2 - 4*v + 2*v**3 + z*v = 0. What is v?
-1, 0, 1
Suppose -9 - 12 = -3*x. Let w = -8 + x. Let v(c) = -c**3 + c**2 + c. Let m(f) = 5*f**2 + 6*f + 2. Let h(l) = w*v(l) + m(l). Let h(n) = 0. What is n?
-2, -1
Factor 5 + 5/4*a**2 - 5*a.
5*(a - 2)**2/4
Let z(t) be the first derivative of -2 + 0*t - 1/4*t**4 + 2/3*t**3 - 1/2*t**2. Solve z(y) = 0 for y.
0, 1
Let l be 975 - (-1 - (0 + -1)). Let x = 4899/5 - l. Determine a so that -x*a**2 - 8/5*a**4 + 0 + 6*a**3 - 8/5*a = 0.
-1/4, 0, 2
Let o be -13 + 14 + (-1)/4. Factor 0*n - n**2 + 0*n**3 - 1/4*n**5 + o*n**4 + 0.
-n**2*(n - 2)**2*(n + 1)/4
Let g = -14 + 20. Suppose g*w = w. Factor 0*o**3 + w*o + 0*o**2 + 0 - 1/5*o**5 + 0*o**4.
-o**5/5
Let j(y) = 16*y**5 - 17*y**4 + y**3 - 3*y. Let x(m) = -16*m**5 + 18*m**4 - 2*m**3 + 2*m. Let q(w) = -2*j(w) - 3*x(w). Find a, given that q(a) = 0.
0, 1/4, 1
Let c = -660554/8505 + -1/8505. Let h = c - -79. Factor -h*o**3 + 2/3*o**5 + 0*o**4 + 0*o**2 + 0 + 2/3*o.
2*o*(o - 1)**2*(o + 1)**2/3
Let h(f) be the third derivative of -f**5/210 - f**4/42 + 32*f**2. Factor h(d).
-2*d*(d + 2)/7
Let x = -9/14 + 73/70. Find a, given that x*a - 2/5*a**3 - 1/5*a**4 + 1/5 + 0*a**2 = 0.
-1, 1
Factor -1/3*u**4 + 1/3*u**2 + 1/3*u**3 - 1/3*u + 0.
-u*(u - 1)**2*(u + 1)/3
Let a = 27 - 6. Let q(z) = -z**3 + 4*z**2 + 2*z - 5. Let n be q(4). Determine k, given that 5*k**2 + 5 - 2 - a*k**n + 36*k - 32*k**2 + 9 = 0.
-2, -2/7, 1
Let q(g) = 4*g**2 - 13*g + 6 + g**3 + 0*g**3 + 2*g. Let y be q(-6). Factor 1/2*u**2 - 1/2*u + y.
u*(u - 1)/2
Suppose -h - 24 = -4*h. Suppose 0*d - 4*d - h = 4*c, 3*c = 4*d + 22. Determine u, given that 4*u**2 - u**2 - 3*u**2 + 4*u**c + 2*u**3 = 0.
-2, 0
Let q(g) = g**3 + 4*g**2 + 3. Let x be q(-3). Suppose -3*b + 2*z + x = 0, 2*z - z + 7 = 2*b. Find u such that 1/5*u**4 + 0*u + 1/5*u**b + 0 - 2/5*u**3 = 0.
0, 1
Factor 5*n**2 - 2*n**4 + 8*n**3 + 6*n**4 - 8*n**4 + 7*n**2.
-4*n**2*(n - 3)*(n + 1)
Let v(q) be the third derivative of -5/3*q**4 - 5/6*q**5 + 0 - 4/3*q**3 - q**2 + 0*q. Solve v(n) = 0.
-2/5
Let i(q) = 5*q**3 + 3*q**2 + 2*q + 2. Let j(w) = -66*w**3 - 39*w**2 - 27*w - 27. Let y(k) = 27*i(k) + 2*j(k). Find h, given that y(h) = 0.
-1, 0
Let b = 821 + -819. Factor 0 - 2/13*c**b + 0*c - 2/13*c**3.
-2*c**2*(c + 1)/13
Let r(c) = -9*c**3 - 77*c**2 - 123*c - 24. Let w(l) = -5*l**3 - 39*l**2 - 61*l - 12. Let m(f) = -3*r(f) + 7*w(f). Let m(z) = 0. Calculate z.
-3, -2, -1/4
Suppose -5*k + 2*k + 6 = 0. Let -1/3*y**5 + 5/3*y**3 - 1/3*y**k - 4/3 + 1/3*y**4 - 8/3*y = 0. What is y?
-1, 2
Let i(n) = 3*n**2 - 5*n + 14. Let g(u) = 4*u**2 - 7*u + 15. Let k(m) = 4*g(m) - 5*i(m). Find q such that k(q) = 0.
-2, 5
Factor -2 + 27/2*j**2 + 2*j + 7/2*j**4 + 13*j**3.
(j + 1)**2*(j + 2)*(7*j - 2)/2
Let z(x) be the first derivative of x**8/840 + x**7/175 + x**6/100 + x**5/150 + x**2/2 - 1. Let h(p) be the second derivative of z(p). Let h(f) = 0. What is f?
-1, 0
Suppose 3*p + 2 = 4*p. Factor -z**2 - 2*z**2 + p*z**2.
-z**2
Let v(a) = 4*a. Let x be v(1). Solve 0*s + s - 4*s**2 - 2*s**5 + s**x + s + 3*s**4 = 0.
-1, 0, 1
Let w(b) = -b**2 + 2. Let o be w(0). Suppose 795 = o*t - 639. Let 31*a**5 - 9*a**2 + 25*a**2 - t*a**5 + 588*a**4 - 168*a**3 = 0. Calculate a.
0, 2/7
Let s(x) be the second derivative of -x**6/45 + x**5/15 - 2*x**3/9 + x**2/3 + 3*x. Suppose s(t) = 0. Calculate t.
-1, 1
Find q, given that 4/5 - 36/5*q**2 + 4/5*q - 16/5*q**4 + 44/5*q**3 = 0.
-1/4, 1
What is w in 16 + 185*w - 185*w - 4*w**2 = 0?
-2, 2
Factor -304*b + 304*b - 12*b**3 - 2*b**2 - 18*b**4 - 8*b**5.
-2*b**2*(b + 1)**2*(4*b + 1)
Let w = 14 + -9. Suppose -w*a + a = -12. Suppose 0 + 0*q - q**4 - 1/2*q**5 + 0*q**2 - 1/2*q**a = 0. Calculate q.
-1, 0
Let n be (-2)/(-5) + (-4)/10. Let v(o) = -3*o - 4. Let a be v(-2). What is g in 2/3*g - 4/3*g**a + 2/3*g**3 + n = 0?
0, 1
Let r(n) be the first derivative of -7*n**6/90 + n**5/30 - 2*n - 1. Let q(d) be the first derivative of r(d). Factor q(w).
-w**3*(7*w - 2)/3
Let i be (-12)/(-10)*(-15)/(-9). Solve 1/2 + 2*n + 5/2*n**i + n**3 = 0 for n.
-1, -1/2
Solve 1/3*o - 1/3*o**3 + 1/3*o**4 - 1/3*o**2 + 0 = 0.
-1, 0, 1
Determine a so that 26 - 5*a**2 - 24*a**3 - 6*a - 22 + 0*a - 29*a**2 = 0.
-1, -2/3, 1/4
Let i = -10 + 10. Suppose i = 7*d - 0*d. Find n, given that 5/3*n**4 - n**3 + d*n + 0 - 2/3*n**2 = 0.
-2/5, 0, 1
Determine g so that -1/4*g**2 - 3*g + 13/4 = 0.
-13, 1
Determine b, given that 25/3*b**4 - 55/3*b**2 + 20/3*b**3 + 20/3 - 10/3*b**5 - 20/3*b = 0.
-1, 1/2, 2
Let r(p) be the third derivative of p**6/60 - p**4/12 + 29*p**2. Factor r(v).
2*v*(v - 1)*(v + 1)
Solve m**3 + 12*m + 4*m**2 - 5*m**3 - 12*m = 0 for m.
0, 1
Let w(o) = -4*o**3 + 3*o - 4. Let t(n) = n**3 + n**2 - n. Let c(r) = 3*t(r) + w(r). Determine l so that c(l) = 0.
-1, 2
Let l(s) be the third derivative of s**6/120 - s**5/60 + 3*s**2. Let g(p) = 2*p**3 - 2*p**2 + p - 1. Let w(q) = -g(q) + 3*l(q). Factor w(h).
(h - 1)**2*(h + 1)
Let g(l) = -3*l**4 + 2*l**3 - l**2 - 2*l - 2. Let t(x) = -4*x**4 + 2*x**3 - x**2 - 3*x - 3. Let m(f) = -3*g(f) + 2*t(f). Factor m(s).
s**2*(s - 1)**2
Let m(j) = 12*j**2 + 2*j - 14. Let q(a) = a**2 - a. Let u(w) = -m(w) + 10*q(w). Factor u(k).
-2*(k - 1)*(k + 7)
Let v be (27/45)/(2/50). Suppose -5*c = 5*n - 50, -n + 2*c + v = 4*c. Find r such that 1/3*r**2 - 1/6*r - 1/6*r**n + 1/3*r**3 - 1/6*r**4 - 1/6 = 0.
-1, 1
Let k(a) be the first derivative of -a**5/5 + a**3 + a**2 + 11. Suppose k(f) = 0. What is f?
-1, 0, 2
Let m(w) be the first derivative of 2*w**5/35 + w**4/7 - 2*w**2/7 - 2*w/7 - 4. Solve m(o) = 0.
-1, 1
Let j be (9/(-6))/(90/(-160)). Determine s, given that -71/3*s**4 + 0 - 62/3*s**3 + j*s - 7*s**5 - 4/3*s**2 = 0.
-2, -1, -2/3, 0, 2/7
Let q(m) be the third derivative of 0*m**4 + 0*m**3 - 3*m**2 + 0*m - 1/60*m**5 + 0. Factor q(t).
-t**2
Suppose 3 = -j + 6. Let r(d) be the first derivative of 1/5*d**5 + 0*d**2 - 1 + 0*d**4 - 1/3*d**j + 0*d. Factor r(v).
v**2*(v - 1)*(v + 1)
Suppose -28*x + 24*x = 16. Let c be -2 + 7 + 4/x. What is d in 3/2*d**c + 0*d - 3/2*d**3 + 0*d**2 + 0 = 0?
0, 1
Let v = -1577/4 + 396. Factor 3/2 + 23/4*d + v*d**2.
(d + 3)*(7*d + 2)/4
Let w(y) be the second derivative of -5*y**4/3 + 12*y**3 + 16*y**2 - 10*y. Determine f, given that w(f) = 0.
-2/5, 4
Let l(h) be the third derivative of -h**5/180 - h**4/8 + 38*h**2. Suppose l(s) = 0. What is s?
-9, 0
Let u(h) = -h**4 + 5*h**2 + 4*h. Let l(a) = -a**4 + 6*a**2 + 5*a. Let d(m) = -2*l(m) + 3*u(m). What is x in d(x) = 0?
-1, 0, 2
Determine b, given that 36/7 - 6*b + 18/7*b**3 - 18/7*b**2 + 6/7*b**4 = 0.
-3, -2, 1
Suppose 5*a + 17 = -4*l, -5*a - 17 = 5*l - 2. Let -1/4 - h - 3/4*h**l = 0. Calculate h.
-1, -1/3
Let j(t) be the second derivative of -2*t**7/105 + 2*t**6/75 + 3*t**5/25 - t**4/15 - 4*t**3/15 + 14*t. Find o such that j(o) = 0.
-1, 0, 1, 2
Let t be (-1)/(-15) + (-11)/(-3