 1, 6
Factor -1/5*y - 3/5*y**3 + 1/5 - y**2.
-(y + 1)**2*(3*y - 1)/5
Factor -55*d + 21*d - 68*d**2 - 16 - 24*d - 22*d - 16*d**3.
-4*(d + 2)**2*(4*d + 1)
Determine y, given that 1 - 12*y**2 + 14*y**2 - 7 + 4*y = 0.
-3, 1
Let c(y) be the second derivative of -y**6/120 - 3*y**5/80 - y**4/24 + 9*y. Solve c(v) = 0 for v.
-2, -1, 0
Let q(a) be the second derivative of a**6/15 + 3*a**5/10 + a**4/6 - a**3 - 2*a**2 + 5*a. Suppose q(j) = 0. Calculate j.
-2, -1, 1
Let d(z) be the third derivative of -z**8/18480 - z**7/4620 - z**6/3960 + z**4/12 + z**2. Let g(s) be the second derivative of d(s). Let g(v) = 0. What is v?
-1, -1/2, 0
Let x(q) be the third derivative of q**5/30 + q**4/2 + 3*q**3 + 3*q**2. Factor x(i).
2*(i + 3)**2
Let w = -3/4 + 3/2. Factor -1/2*f**2 + 3/4*f**3 - w*f + 1/2.
(f - 1)*(f + 1)*(3*f - 2)/4
Suppose -2/3*p**4 - 4/3*p**3 + 0*p**2 + 2/3 + 4/3*p = 0. Calculate p.
-1, 1
Let z(u) be the third derivative of -u**5/180 + u**3/18 + 10*u**2. Factor z(y).
-(y - 1)*(y + 1)/3
Suppose 2*g - 3*d = 2*d - 14, -g - 17 = -5*d. Let 4*l**g + l**3 + 4*l**2 + l**3 = 0. What is l?
-2/3, 0
Let h be 4/(((-16)/(-6))/2). Let y(g) be the first derivative of g**2 + 0*g**5 + 0*g**h - g**4 - 2 + 1/3*g**6 + 0*g. Factor y(r).
2*r*(r - 1)**2*(r + 1)**2
Let m = -6 + 19. Suppose 4*j - 1 = -m. Let b(w) = -6*w**3 - 4*w**2. Let r(n) = -n**4 + 7*n**3 + 5*n**2. Let l(q) = j*b(q) - 2*r(q). Find g such that l(g) = 0.
-1, 0
Suppose -4*r - r = -5. Let t be r/((3/2)/3). Factor t*n**2 + 0 + 2 + 7*n - 3*n.
2*(n + 1)**2
Let c be ((-2)/(-20))/((-9)/(-15)). Let l(r) be the third derivative of 0*r + 0 - 1/60*r**5 + r**2 - c*r**3 + 1/12*r**4. Solve l(v) = 0 for v.
1
Let l(b) be the first derivative of b**3/9 + b**2/3 + b/3 - 11. Find s such that l(s) = 0.
-1
Let n(u) be the second derivative of 8*u**6/105 - 26*u**5/35 + 193*u**4/84 - 13*u**3/7 + 9*u**2/14 - 7*u. Determine d, given that n(d) = 0.
1/4, 3
Let a = 38 + -25. Let y be 1/33 - a/(-39). Factor 0 - 4/11*r**2 - 2/11*r**5 + 0*r**3 + 2/11*r + y*r**4.
-2*r*(r - 1)**3*(r + 1)/11
Solve -65*r - 63*r + 4 + 130*r - 2*r**2 = 0 for r.
-1, 2
Let x = -990/83 - -55469/5395. Let z = x - -24/13. What is k in 1/5*k**2 + 0*k + 0 + z*k**3 = 0?
-1, 0
Let p(b) = -b**2 + 9*b - 4. Let l be p(8). Factor 4 - d**3 + 0*d**3 + 2*d + 2*d**3 + d**3 - 12*d**2 + l*d**4.
2*(d - 1)**2*(d + 2)*(2*d + 1)
Let l(y) be the second derivative of 0 + 0*y**2 + 1/50*y**5 + 0*y**3 + 0*y**4 + 2*y. Solve l(r) = 0 for r.
0
Factor 2/7*x**4 + 0 + 6/7*x**3 - 8/7*x + 0*x**2.
2*x*(x - 1)*(x + 2)**2/7
What is w in 0*w - 3*w**2 - 3/2*w**3 + 0 + 9/2*w**4 = 0?
-2/3, 0, 1
Let c be (-4)/(-16) - 3/(-12). Let f = -7/10 - -6/5. Find a such that f - 1/2*a**2 - c*a**3 + 1/2*a = 0.
-1, 1
Let g(v) be the first derivative of 5*v**4/14 - 8*v**3/21 - v**2/7 - 9. Find x, given that g(x) = 0.
-1/5, 0, 1
Let y(j) be the second derivative of 0*j**2 + 0*j**3 - 1/3*j**4 + 0 + 1/2*j**5 - 5*j - 4/15*j**6 + 1/21*j**7. Factor y(h).
2*h**2*(h - 2)*(h - 1)**2
Let r = 223/7 - 2000/63. Factor 2/9 - r*g**2 + 1/9*g.
-(g - 2)*(g + 1)/9
Factor 4/5*b**4 + 0 - 2/5*b**5 + 0*b - 2/5*b**3 + 0*b**2.
-2*b**3*(b - 1)**2/5
Suppose 0*q - 5*q = -30. Suppose -3*w - q = -3*z, 3*z - 5 - 5 = w. Factor 1/3*u**5 + 1/3*u**2 + 0 + 0*u + u**3 + u**z.
u**2*(u + 1)**3/3
Let m(c) = 2*c**2 + 6*c - 1. Let a(t) = -9*t**2 - 31*t + 6. Let f(r) = -4*a(r) - 22*m(r). Let f(q) = 0. Calculate q.
-1/2
Let a(p) = 3*p**2 + 7*p. Let k(r) = 2*r**2 + 4*r. Let t(j) = -6*a(j) + 10*k(j). Factor t(z).
2*z*(z - 1)
Let d(o) be the first derivative of 1/16*o**4 - 3 + 0*o + 0*o**2 + 1/12*o**3. Factor d(f).
f**2*(f + 1)/4
Let d(c) be the first derivative of c**4/4 - c**3 + 2*c**2 - 2*c + 7. Let n be d(2). What is t in 18/7*t**n + 22/7*t + 4/7 = 0?
-1, -2/9
Let o = 2/71 + 116/923. Factor o*z**3 - 2/13*z - 4/13*z**2 + 4/13.
2*(z - 2)*(z - 1)*(z + 1)/13
Let r = -259 - -1823/7. Find v, given that -r*v**2 - 8/7 + 16/7*v + 2/7*v**3 = 0.
1, 2
Let a(y) = 3*y**3 + y**2 - 2*y. Let d = 1 - 6. Let f(i) = -4*i**3 - 2*i**2 + 2*i. Suppose -19 = 3*g - 1. Let z(t) = d*f(t) + g*a(t). Find u such that z(u) = 0.
-1, 0
Let d(a) be the third derivative of -a**7/280 - a**3/6 - 10*a**2. Let n(o) be the first derivative of d(o). What is l in n(l) = 0?
0
Let x(o) = -4*o**2 - 78*o - 62. Let v(u) = u - 1. Let n(z) = -6*v(z) - x(z). Solve n(s) = 0.
-17, -1
Let d be (-62)/(-60) + (-5)/5. Let j(v) be the third derivative of v**2 + 0*v + d*v**5 - 1/24*v**4 + 0*v**3 + 0. Determine l so that j(l) = 0.
0, 1/2
Let v(d) = 6*d. Let q be v(-2). Let w be ((-1)/6)/(3/q). Factor w*x**3 - 2/3*x + 0 + 0*x**2.
2*x*(x - 1)*(x + 1)/3
Let t = 2 + 0. Suppose -x = -2*u + 1 - 6, t*x = -4*u + 10. Factor u + 2/5*p**3 + 2/5*p - 4/5*p**2.
2*p*(p - 1)**2/5
Let v(y) = -7*y**3 - 2*y**2 + 1. Let p be v(-1). Let g = p + -3. Factor 0*n**2 + 8*n - 2 - 1 - 3*n**g + 7 + n**2.
-(n - 2)*(n + 1)*(3*n + 2)
Let z(c) = 21*c + 2. Let n be z(0). Determine x, given that -2/3*x**5 - 2/9*x**n - 4/9*x + 0 + 10/9*x**3 + 2/9*x**4 = 0.
-1, -2/3, 0, 1
Factor 2/7*r**4 + 0*r**3 + 0 - 2/7*r**2 + 0*r.
2*r**2*(r - 1)*(r + 1)/7
Let q(z) be the second derivative of -1/4*z**4 + 0*z**2 + 3*z + 0 + 0*z**3 + 3/20*z**5. Factor q(m).
3*m**2*(m - 1)
Let h be 77*(-3)/(-1530) + 8/(-68). Let d(v) be the second derivative of -2*v + h*v**4 + 1/5*v**2 + 0 - 2/15*v**3. Factor d(o).
2*(o - 1)**2/5
Solve -5*p**4 - 8*p + 7*p**3 + 3 + p**5 + 1 + p**2 + 0*p = 0.
-1, 1, 2
Let f(a) be the second derivative of 1/70*a**5 + 0*a**3 + 0*a**2 + 1/105*a**6 - 1/147*a**7 + 3*a - 1/42*a**4 + 0. Factor f(k).
-2*k**2*(k - 1)**2*(k + 1)/7
Let j(u) be the first derivative of -2*u**3/3 - u**2 - 8. Determine q, given that j(q) = 0.
-1, 0
Let a = -1217453/23886 + 33/1327. Let x = -101/2 - a. Factor 4/9*z**3 - 2/9*z**5 - 2/9*z - 2/9 - 2/9*z**4 + x*z**2.
-2*(z - 1)**2*(z + 1)**3/9
Let s be 4/(-16) + 33/4. Factor 4*r**3 + s*r**2 + r**3 - 3*r**3 + 2*r**3 + 4*r.
4*r*(r + 1)**2
Factor -m + 5*m + 34*m**2 - 31*m**2 - m.
3*m*(m + 1)
Let n(l) be the first derivative of -1/20*l**5 - 3/16*l**4 + 1 - 1/8*l**2 + 0*l - 1/4*l**3. Suppose n(o) = 0. What is o?
-1, 0
Let m be 1/(-4)*(-6 - (-30)/9). Determine h, given that -1/3*h**3 - 5/3*h - 4/3*h**2 - m = 0.
-2, -1
Let i(v) be the second derivative of 0 - 6*v - 1/42*v**4 + 1/21*v**3 + 0*v**2. Factor i(m).
-2*m*(m - 1)/7
Let f be (8/10)/((-210)/(-175)). What is k in -1/3*k**3 - 1/3*k + f*k**2 + 0 = 0?
0, 1
Let l(u) be the third derivative of 0 + 0*u**3 + 0*u - 1/120*u**4 + 1/300*u**5 - 1/1050*u**7 + 6*u**2 + 1/600*u**6. Factor l(c).
-c*(c - 1)**2*(c + 1)/5
Let n(i) = 2*i**2 - i + 5. Let f = 4 + -9. Let s(p) = 6*p**2 - 2*p + 14. Let h(t) = f*s(t) + 14*n(t). Factor h(m).
-2*m*(m + 2)
Let k(r) = -r - 4. Let l be k(-4). Determine q, given that 2/5*q + 2/5*q**5 + l*q**4 - 4/5*q**3 + 0*q**2 + 0 = 0.
-1, 0, 1
Let u(c) be the second derivative of c**6/15 + c**5/10 - 5*c. Find o, given that u(o) = 0.
-1, 0
Let a(h) = 9*h**2 + 9*h + 8. Let j(u) = -u**2 - u - 1. Let x(k) = -3*a(k) - 24*j(k). Factor x(c).
-3*c*(c + 1)
Let 2*p**3 + 1 - 1/2*p**5 - p**2 - 3/2*p + 0*p**4 = 0. Calculate p.
-2, -1, 1
Factor 2/11*h - 2/11*h**2 + 2/11*h**4 + 0 - 2/11*h**3.
2*h*(h - 1)**2*(h + 1)/11
Determine k so that 7/3*k**4 - 16/3*k**3 + 0 + 4/3*k**2 + 0*k = 0.
0, 2/7, 2
Let h(o) be the first derivative of -o**7/210 + o**6/120 + o**5/60 - o**4/24 - 5*o**2 + 6. Let p(i) be the second derivative of h(i). Factor p(n).
-n*(n - 1)**2*(n + 1)
Let c(n) = -n**3 + n - 1. Let w(s) = 2*s**4 + 8*s**3 + 6*s**2 + 2. Let d(j) = -2*c(j) - w(j). Factor d(z).
-2*z*(z + 1)**3
Let d = -3 + 8. Suppose 2 = -n + d. Factor -7*b**3 + 2 - b**n - 12*b**2 - 4 - 2*b**4 - 8*b.
-2*(b + 1)**4
Let u(o) = 108*o**3 - 2*o + 2. Let n be u(1). Let b be (-2)/(-9) + 111/n. Factor -5/4*m**3 - 1/2*m**2 + b*m + 1/2.
-(m - 1)*(m + 1)*(5*m + 2)/4
Let v(u) = 2*u**3 - 9*u**2 + 5*u - 2. Let f be v(4). Factor 3/2*q + 0 - 3/2*q**f.
-3*q*(q - 1)/2
What is j in -206/7*j - 362/7*j**2 - 4 + 8*j**3 = 0?
-2/7, -1/4, 7
Let s(r) be the third derivative of 0*r**3 + 1/175*r**7 + 0*r + 3*r**2 - 1/100*r**6 + 1/150*r**5 - 1/840*r**8 + 0 + 0*r**4. Solve s(o) = 0 for o.
0, 1
Let g = 438 + -436. Determine w so that 0*w**g + 0 + 0*w + 2/17*w**3 = 0.
0
Let d(g) be the second derivative of g**4/3 + 4*g**3/3 + 2*g**2 - 11*g. Let d(b) = 0. What is b