 in -1/3*y**3 - 1/6 + 1/2*y - 1/3*y**2 - 1/6*y**5 + 1/2*y**4 = 0?
-1, 1
Let g(j) = -j**3 - 11*j**2 - 2*j - 4. Let r(k) = k**3 + 12*k**2 + k + 4. Let p = 0 - 6. Let x(t) = p*r(t) - 7*g(t). Suppose x(i) = 0. What is i?
-2, -1
Factor -1 - 168*g**2 - 21*g + 133*g**3 + 127*g**3 - 64*g**3 - 6*g.
(g - 1)*(14*g + 1)**2
Determine r so that -4*r**3 + 16 - 12*r**2 + 4046*r - 4046*r = 0.
-2, 1
Let j be 10/(-5)*-1*2. Suppose -m + j = -c + 9, 5*m + 4 = -2*c. Factor 2/5*t**c - 2/5*t**2 + 0*t + 0.
2*t**2*(t - 1)/5
Let k(g) be the first derivative of g**8/1848 - g**7/1540 - g**6/990 + 2*g**3/3 + 4. Let o(p) be the third derivative of k(p). Find u, given that o(u) = 0.
-2/5, 0, 1
Factor 4 + 5/2*s**3 - 1/2*s**4 - 3*s**2 - 2*s.
-(s - 2)**3*(s + 1)/2
Factor 8/9 + 2/9*v**2 + 8/9*v.
2*(v + 2)**2/9
Let p(b) = 23*b**4 - 5*b**3 - 11*b**2 + 17. Let c(s) = -4*s**3 + 4*s**2 - 6*s**2 + 0*s**3 + 4*s**4 + 3 + 3*s**3. Let l(x) = 34*c(x) - 6*p(x). Factor l(j).
-2*j**2*(j + 1)**2
Let g(m) be the first derivative of 0*m**2 - 1/45*m**5 + 0*m - 1/9*m**4 + 2/3*m**3 + 4 - 1/540*m**6. Let v(t) be the third derivative of g(t). Factor v(u).
-2*(u + 2)**2/3
Let n be -14*3/(-9) + -4. Let i(a) be the first derivative of 0*a**2 + 0*a - n*a**3 - 1/2*a**4 + 2. Factor i(f).
-2*f**2*(f + 1)
Let q(d) = -21*d**3 - 24*d**2 + 3*d - 3. Let v(p) = -p**4 + p**3 - p**2 - p + 1. Let c(f) = q(f) + 3*v(f). What is h in c(h) = 0?
-3, 0
Let z(w) = w**2 + w - 1. Let c(n) = 6*n**3 - 3*n**2 - 18*n - 15. Let m(h) = c(h) - 6*z(h). Factor m(p).
3*(p - 3)*(p + 1)*(2*p + 1)
Let q(y) be the third derivative of -y**6/1080 + y**4/72 - 2*y**3/3 - 7*y**2. Let x(i) be the first derivative of q(i). Solve x(u) = 0.
-1, 1
Let l(z) be the third derivative of -z**7/42 + z**5/6 - 5*z**3/6 - 20*z**2. Let l(s) = 0. Calculate s.
-1, 1
Let v(x) be the first derivative of -3*x**5/80 - x**4/8 - x**3/8 + 4*x - 5. Let m(b) be the first derivative of v(b). Solve m(i) = 0.
-1, 0
Solve 2/15*r + 0 + 2/15*r**2 = 0 for r.
-1, 0
Let i be 15*(0 - (-1)/3). Factor -2*r**2 + 5 - i.
-2*r**2
Suppose -2*l + 14 = 2*i, 5*i + 5 = l + 10. Solve 6/11*v + 2/11*v**3 + 2/11 + 6/11*v**i = 0.
-1
Find w such that 0*w + 8*w + 12*w**2 - 8*w**2 + 4 = 0.
-1
Let y(d) be the first derivative of -d**4/36 - d**3/9 + 4*d/9 - 13. Let y(p) = 0. Calculate p.
-2, 1
Let s(g) = -4*g**3 - 3*g**2 + g. Let i(f) = -3*f**3 - 2*f**2 + f. Let b(r) = 5*i(r) - 4*s(r). Find l, given that b(l) = 0.
-1, 0
Suppose 2*w + 1 = 5. Determine t so that t**2 - t + 2 + 0*t**2 - w*t = 0.
1, 2
Let i(t) = t**3 - 4*t**2 + t - 2. Let s be i(4). Let k be 0/(-2)*(-1)/s. Factor 4/9*c**2 + k - 2/9*c - 2/9*c**3.
-2*c*(c - 1)**2/9
What is o in -2*o + 0 + 1/2*o**2 = 0?
0, 4
Find w, given that -11/3*w**2 + 20/3*w + 4/3 = 0.
-2/11, 2
What is c in 0*c - 2*c + 0*c - 2*c**2 = 0?
-1, 0
Let b(m) = 7*m**2 + 2*m + 9. Let w(g) = -1. Let s(y) = 2*b(y) + 18*w(y). Suppose s(n) = 0. Calculate n.
-2/7, 0
Let m(l) = 4*l**2 - 7*l - 7. Let y(j) = j**2 - 2*j - 2. Let o(n) = -4*m(n) + 14*y(n). Find c such that o(c) = 0.
0
Suppose -8 = -5*c + c. Suppose 10 = c*y, -2*z - 2*y = -3*y + 1. Suppose -p**2 - 3*p**3 - z*p**4 + p - p = 0. Calculate p.
-1, -1/2, 0
Let q(m) be the second derivative of -2*m**7/63 + 2*m**6/45 - 3*m. Find h, given that q(h) = 0.
0, 1
Let k = -15/4 + 4. Let h(t) be the first derivative of 1 + 1/5*t**5 + k*t**4 - 2*t - t**3 - 5/2*t**2. Factor h(n).
(n - 2)*(n + 1)**3
Let d be (3 + -1 - 1) + 2. Determine a, given that a + a**4 - 2*a - 3*a**4 - 3*a**d + a**4 - 3*a**2 = 0.
-1, 0
Let x(b) = b**3 + b**2 + 1. Let g(t) be the first derivative of 7*t**4/4 - 2*t**3 - t**2/2 + 3*t - 3. Let u(w) = -4*g(w) + 4*x(w). Factor u(z).
-4*(z - 1)*(2*z + 1)*(3*z - 2)
Let o(m) be the second derivative of 0*m**4 + 3/2*m**2 + m**3 - 1/10*m**6 + 0 - 3/10*m**5 - 8*m. Suppose o(x) = 0. What is x?
-1, 1
Let w(s) be the third derivative of s**7/1260 + s**6/180 + s**5/60 + s**4/36 - s**3 - 6*s**2. Let r(m) be the first derivative of w(m). What is i in r(i) = 0?
-1
Let h(b) = 16*b**3 - 36*b**2 + 20*b - 8. Let z(v) = 16*v**3 - 37*v**2 + 20*v - 9. Let t(c) = -5*h(c) + 4*z(c). Factor t(i).
-4*(i - 1)*(2*i - 1)**2
Let r(m) be the second derivative of -m + 0*m**2 + 1/30*m**5 + 0 + 0*m**4 - 4/27*m**3 + 1/135*m**6. Factor r(h).
2*h*(h - 1)*(h + 2)**2/9
Factor 1/6*w**2 - 1/3 + 1/6*w.
(w - 1)*(w + 2)/6
Let p be 5/(-2)*(-24)/20. Determine i so that 3*i**2 + 4*i**p - i**3 - 3*i**2 = 0.
0
Let s(a) = -a**2 + a + 3. Let j be s(0). Factor -1/4*k**5 + 0*k**4 + 1/2*k**j - 1/4*k + 0 + 0*k**2.
-k*(k - 1)**2*(k + 1)**2/4
Factor 0*c**2 - 28*c**3 + 25*c**3 + 3*c**2.
-3*c**2*(c - 1)
Let m(r) be the second derivative of -r**4/114 + 10*r**3/57 - 9*r**2/19 + 8*r + 3. Factor m(x).
-2*(x - 9)*(x - 1)/19
Suppose -172 = -3*m - 5*k, 282 - 18 = 5*m - 3*k. Solve -6*r - 54*r**3 + m*r**3 - 3*r**4 + 9*r**2 = 0.
-2, 0, 1
Let g(y) be the third derivative of y**6/60 - y**5/6 + y**4/4 + 3*y**3 + 4*y**2. Factor g(d).
2*(d - 3)**2*(d + 1)
Let s(p) be the first derivative of 2*p**6/3 - 8*p**5/5 + 8*p**3/3 - 2*p**2 + 12. Suppose s(y) = 0. Calculate y.
-1, 0, 1
Factor 0 - 1/8*m**3 + 0*m**2 + 0*m.
-m**3/8
Factor -q**3 - 4*q**2 + 0*q**3 + 3*q**3 + 2*q**3.
4*q**2*(q - 1)
Let n = 24/43 + 453/344. Factor -6*b - n*b**3 - 3/2 - 51/8*b**2.
-3*(b + 1)*(b + 2)*(5*b + 2)/8
Let h(q) be the third derivative of -q**8/1176 - 4*q**7/735 - q**6/70 - 2*q**5/105 - q**4/84 - q**2. Determine r so that h(r) = 0.
-1, 0
Let n be -3 - (0 - (3 + -2)). Let r be ((-6)/4)/(n + -1). Suppose -r*b**5 + 2*b**2 - b**4 - 1 + b**3 - 1/2*b = 0. Calculate b.
-2, -1, 1
Factor 0 + 13/3*c**3 + 4/3*c + 1/3*c**5 - 2*c**4 - 4*c**2.
c*(c - 2)**2*(c - 1)**2/3
Let k = 111/4 - 6659/240. Let h(o) be the third derivative of -1/480*o**6 + 0 + 1/96*o**4 + o**2 + k*o**5 - 1/24*o**3 + 0*o. Factor h(a).
-(a - 1)**2*(a + 1)/4
Let t(n) = -2*n**4 - 10*n**3 + 27*n**2 - 26*n + 11. Let q(p) = -3*p**4 - 9*p**3 + 27*p**2 - 27*p + 12. Let h(z) = 5*q(z) - 6*t(z). Factor h(x).
-3*(x - 2)*(x - 1)**3
Let x(h) = -6*h**4 - 10*h**3 + 10*h**2 + 15*h - 9. Let s(t) = 6*t**4 + 10*t**3 - 10*t**2 - 14*t + 8. Let j(k) = 5*s(k) + 4*x(k). Solve j(c) = 0 for c.
-2, -1, 1/3, 1
Let x = -35 + 37. Solve 0 + 2/9*v**4 + 2/3*v**x + 2/9*v + 2/3*v**3 = 0 for v.
-1, 0
Let j(h) be the first derivative of 8*h**5/5 + 7*h**4/2 - 12*h**3 - 28*h**2 + 16*h - 28. Factor j(v).
2*(v - 2)*(v + 2)**2*(4*v - 1)
Let c(o) be the third derivative of -o**6/180 + o**5/30 - o**4/12 + o**3/3 - 2*o**2. Let k(h) be the first derivative of c(h). Factor k(r).
-2*(r - 1)**2
Let r be 14/49 + 26/7. Suppose -o - 8*w + 3*w + 23 = 0, 0 = -o - r*w + 19. Factor -3 + 1 - 2*z**3 - 10*z**2 - o*z - 3*z + 4*z**2.
-2*(z + 1)**3
Let k(z) be the first derivative of -49/20*z**5 - 1/2*z**2 - 77/16*z**4 + 0*z - 8/3*z**3 - 4. Factor k(m).
-m*(m + 1)*(7*m + 2)**2/4
Suppose 0*r**2 + 0 + 0*r**4 - 1/4*r**5 + 0*r + 1/4*r**3 = 0. Calculate r.
-1, 0, 1
Find a such that a**3 - 1/3*a**2 - 2/3*a + 0 = 0.
-2/3, 0, 1
Let b(y) = 11*y**3 - 45*y**2 + 13*y + 16. Let s(t) = 6*t**3 - 22*t**2 + 6*t + 8. Let q(c) = -2*b(c) + 5*s(c). Determine j, given that q(j) = 0.
-1/2, 1, 2
Let z(x) be the third derivative of x**7/1680 + x**6/720 - x**5/240 - x**4/48 + x**3/6 + x**2. Let t(b) be the first derivative of z(b). What is a in t(a) = 0?
-1, 1
Let g(q) = q**4 - q**2 - 1. Let f(r) = 16*r**4 + 16*r**3 - 4*r**2 - 16*r - 24. Let a(l) = -f(l) + 12*g(l). Factor a(u).
-4*(u - 1)*(u + 1)**2*(u + 3)
Let f(a) be the third derivative of -1/3*a**3 - 3/112*a**8 - 1/24*a**4 - 23/60*a**6 + 0*a + 0 - a**2 + 17/105*a**7 + 2/5*a**5. Let f(w) = 0. Calculate w.
-2/9, 1
Let g = 4 + -6. Let i = g - -5. Find y such that y**i - 2*y + 4*y - y - 2*y**2 = 0.
0, 1
What is c in 0*c**2 + 1/2 - 1/2*c**4 - c**3 + c = 0?
-1, 1
Determine j, given that -4*j + j + 2*j - 6 - 2*j + 3*j**2 = 0.
-1, 2
Let k = 97 - 95. Suppose -18/7*q**2 + 0 - k*q**3 - 4/7*q = 0. Calculate q.
-1, -2/7, 0
Let v = 959/2895 + 2/965. Factor -v*f + 1/3*f**2 - 2/3.
(f - 2)*(f + 1)/3
Let y(v) be the first derivative of -2 + 1/3*v**3 + 1/2*v**2 + 0*v. Suppose y(m) = 0. What is m?
-1, 0
Let j(x) = -4*x**3 + 15*x**2 + 7. Let h(b) = 2*b**3 - 7*b**2 - 3. Let r(z) = -7*h(z) - 3*j(z). Factor r(v).
-2*v**2*(v - 2)
Determine p, given that 6*p**3 + 30*p**4 - 16*p**5 - 30*p**2 + 8 - 17*p**5 + 15*p**5 + 4*p*