, -3*s + x - g = 0. Solve s*v**2 + 0*v + 0 + 1/2*v**3 = 0 for v.
0
Solve -4*s**3 - 2/3*s + 0 - 5/3*s**4 - 3*s**2 = 0 for s.
-1, -2/5, 0
Let x(n) = 5*n**4 - 4*n**3 + 8*n**2 + 6*n - 9. Let p(o) = 11*o**4 - 8*o**3 + 17*o**2 + 11*o - 18. Let r(g) = 6*p(g) - 13*x(g). What is q in r(q) = 0?
-3, 1
Let j be ((-1 - -3) + 1)/(-1). Let v be j/24*(8 - 14). Factor -v*i - 9/4*i**3 + 0 + 3*i**2.
-3*i*(i - 1)*(3*i - 1)/4
Let u(i) be the third derivative of -1/150*i**5 + 0*i**4 + 0*i**3 + 1/840*i**8 + 0 + 3*i**2 + 1/100*i**6 - 1/175*i**7 + 0*i. Factor u(v).
2*v**2*(v - 1)**3/5
Suppose 3*o - 2*d = 15, 4*o + 4*d - 9 = 3*d. Determine k so that -4*k**4 + 4*k**3 - o*k**3 + 7*k**3 + 8*k**2 - 2*k**3 - 2*k**5 - 8*k = 0.
-2, 0, 1
Let t(k) be the second derivative of k**9/5040 + k**8/1120 + k**7/840 + k**4/4 + k. Let v(x) be the third derivative of t(x). Factor v(l).
3*l**2*(l + 1)**2
Let q(d) be the third derivative of -1/132*d**4 - 1/165*d**5 + 0*d + 3*d**2 + 1/33*d**3 + 0. Factor q(t).
-2*(t + 1)*(2*t - 1)/11
Let x(i) be the first derivative of -81*i**5/20 - 27*i**4/8 + 3*i**2/4 + i/4 - 3. Factor x(a).
-(3*a - 1)*(3*a + 1)**3/4
Let x be 42/9 + 2/6. Suppose 3*i - 15 = j - 2*j, 0 = -5*j + x*i - 5. Factor -9*g**2 - g**j + g + 3*g**4 + 10*g**2 - 4*g**4.
-g*(g - 1)*(g + 1)**2
Let g(m) = -m**2 - 3*m + 5. Let t(r) = -r**2 - 5*r + 8. Let l(q) = 8*g(q) - 5*t(q). Factor l(x).
-x*(3*x - 1)
Let b(p) be the second derivative of p**6/240 - 3*p**5/160 + p**4/96 + p**3/16 - p**2/8 + 4*p. Factor b(m).
(m - 2)*(m - 1)**2*(m + 1)/8
Let g(o) = -4*o**2 + 4*o + 2. Let y(r) = r**2 - r - 1. Let f(l) = -g(l) - 6*y(l). Factor f(b).
-2*(b - 2)*(b + 1)
Suppose -10*u + 4 = -26. Let h(b) be the first derivative of 1/9*b**u + 0*b - 1 + 1/6*b**2. Factor h(i).
i*(i + 1)/3
Let k(m) = 2*m**2 + m**2 + m**2 - m**2. Let h be k(-1). Find s, given that 6*s**2 - s**4 - 5*s**3 + 3*s - 2*s**4 - h + 3*s**5 - s**3 = 0.
-1, 1
Let t(v) be the third derivative of v**7/105 - 13*v**6/300 + 3*v**5/50 + v**4/60 - 2*v**3/15 - 49*v**2. Factor t(y).
2*(y - 1)**3*(5*y + 2)/5
Let f = -4 + 6. Let k(i) = 5*i**2 - 2*i. Let m(h) = -66*h**2 + 27*h. Let r(t) = f*m(t) + 27*k(t). Determine v so that r(v) = 0.
0
Let l(c) = -2*c - 4. Let g be l(-3). Let k be (-34)/(-9) + 4/18. Find b such that -16*b**g - 10*b - 2*b**3 - 9*b**5 - 2 + 9*b + 18*b**k + 12*b = 0.
-1, 1/3, 2/3, 1
Factor 1/2*a**5 + 3/2*a**4 + 0 + 1/2*a**2 + 3/2*a**3 + 0*a.
a**2*(a + 1)**3/2
Let u(m) be the third derivative of -9*m**7/70 + 9*m**6/40 - 3*m**5/20 + m**4/24 + 5*m**2. Suppose u(w) = 0. What is w?
0, 1/3
Let j = 1/296 + 581/3256. Factor 2/11*u + 4/11 - 4/11*u**2 - j*u**3.
-2*(u - 1)*(u + 1)*(u + 2)/11
Let q = -168 - -170. Let v(h) be the first derivative of 4 + 2/5*h**5 - h**2 - 3/2*h**4 + q*h**3 + 0*h. Determine m, given that v(m) = 0.
0, 1
Let k = -31337/5 + 6296. Let s = 29 - k. Suppose -2/5*f - s*f**3 + 0 + 4/5*f**2 = 0. What is f?
0, 1
Let h(q) be the third derivative of -q**7/1680 - q**6/360 + q**5/240 + q**4/24 - q**3/6 + 7*q**2. Let v(p) be the first derivative of h(p). Factor v(j).
-(j - 1)*(j + 1)*(j + 2)/2
Let q(a) be the first derivative of -1/36*a**6 - 7 - 1/4*a**4 + 0*a + 2/3*a**2 + 2/9*a**3 - 1/6*a**5. Solve q(v) = 0.
-2, 0, 1
Let o(y) be the third derivative of 1/30*y**5 + 1/105*y**7 + 0*y + 1/30*y**6 + 0*y**3 + 0*y**4 - 3*y**2 + 0. Factor o(r).
2*r**2*(r + 1)**2
Let w be (-172)/17 - 4/(-34). Let a be 11/3 + w/(-6). Factor -2*d**2 + 8/3 - 6*d**3 + a*d.
-2*(d - 1)*(3*d + 2)**2/3
Let w(f) = f**2 - 13*f + 4. Let v be w(13). Factor -2 + 5 + 6*g**2 - v*g**2 + 1 + 6*g.
2*(g + 1)*(g + 2)
Let h(x) be the second derivative of x + 1/11*x**2 + 1/11*x**4 + 1/165*x**6 + 2/55*x**5 + 4/33*x**3 + 0. Factor h(t).
2*(t + 1)**4/11
Let d = -3 - -6. Suppose g - 3 = -h - 0*g, h - 7 = 3*g. Factor -1/4*m**5 + 1/4*m**2 + 1/4*m**d - 1/4*m**h + 0*m + 0.
-m**2*(m - 1)*(m + 1)**2/4
Let f(o) = -o**2 + 6*o + 9. Let d be f(7). Factor -27 + 4*x**3 + 2*x**4 + 27 - d*x**2 - 4*x.
2*x*(x - 1)*(x + 1)*(x + 2)
Factor 25 + 1/4*n**2 - 5*n.
(n - 10)**2/4
Let o(h) = -5*h + 2 + 3*h**2 - 2*h**2 + 4. Let y be o(4). Determine g so that -3*g + 2*g**3 + 0*g - 4*g**y + 5*g = 0.
0, 1
Let v = 5 - 0. Suppose -v*u + 6 = -9. What is f in 3*f**2 + 1/2*f**u + 6*f + 4 = 0?
-2
Factor -3/7*t**3 + 0 + 18/7*t**2 - 15/7*t.
-3*t*(t - 5)*(t - 1)/7
Let t = -46 - -14. Let a be ((-1)/4)/(28/t). What is k in a*k**4 - 2/7*k**5 + 0 - 4/7*k + 6/7*k**3 - 2/7*k**2 = 0?
-1, 0, 1, 2
Suppose 9*d - 14*d = -35. Suppose -2*u + d*u = 15. Factor 1/4*b + 0 - 1/2*b**2 + 1/4*b**u.
b*(b - 1)**2/4
Let y(h) = 3*h**2 - h. Let z be y(1). Factor 2/5*u**3 + 4/5 - 4/5*u + 1/5*u**4 - 3/5*u**z.
(u - 1)**2*(u + 2)**2/5
Let z(d) be the first derivative of d**6/480 - d**4/96 - d**2 + 3. Let m(i) be the second derivative of z(i). Solve m(q) = 0.
-1, 0, 1
Let j(s) be the third derivative of s**5/180 - s**4/9 + 8*s**3/9 - s**2. What is q in j(q) = 0?
4
Determine k, given that -15*k**2 - 9*k**4 - 9380*k + 9380*k + 3*k**5 - 27*k**3 = 0.
-1, 0, 5
Let s be 2 + -2 + 2 + 2. Factor 2 + 6*j**4 - 6*j - 5*j**4 + 2*j**5 - 2*j**s - 5*j**4 + 4*j**3 + 4*j**2.
2*(j - 1)**4*(j + 1)
Let u(c) be the third derivative of c**8/1344 + c**7/210 + c**6/240 - c**5/60 - c**4/32 + 11*c**2. Let u(n) = 0. Calculate n.
-3, -1, 0, 1
Let h(f) be the first derivative of 2*f**3/15 + 2*f**2/5 + 2*f/5 + 20. Factor h(k).
2*(k + 1)**2/5
Let j(z) be the first derivative of 0*z**2 + 1/12*z**4 + 0*z - 4 - 1/9*z**3. Solve j(u) = 0.
0, 1
Let w(c) be the third derivative of c**7/7560 - c**5/360 + c**4/12 + c**2. Let a(m) be the second derivative of w(m). Solve a(s) = 0 for s.
-1, 1
Let c(t) = 12*t**2 + 45*t + 24. Let f(x) = 2*x**2 + 1. Let d(a) = c(a) - 12*f(a). Suppose d(u) = 0. What is u?
-1/4, 4
Let m(x) be the third derivative of 9/4*x**4 - 3*x**2 + 0 + 1/60*x**6 - 9*x**3 + 0*x - 3/10*x**5. What is k in m(k) = 0?
3
Let y(t) be the third derivative of -t**5/20 + t**4/8 + 7*t**2. Determine k so that y(k) = 0.
0, 1
Let m(x) be the second derivative of -x**4/16 + x**3/4 + 9*x**2/8 + 11*x. Factor m(s).
-3*(s - 3)*(s + 1)/4
Let p(u) be the third derivative of 1/50*u**5 + 0 + 0*u + 1/300*u**6 + 0*u**3 + 1/30*u**4 - 9*u**2. Suppose p(s) = 0. Calculate s.
-2, -1, 0
Suppose 0*w + w = 0, 0 = 2*o - w. Factor -2*g + 4*g + g + 3*g**5 - 6*g**3 + o*g**5.
3*g*(g - 1)**2*(g + 1)**2
Suppose f = -4*y + 12, -6*y = -5*f - 4*y - 6. Factor 0*j**3 + 0 + 0*j**2 + 2/7*j**4 + 2/7*j**5 + f*j.
2*j**4*(j + 1)/7
Let u(y) be the second derivative of -5*y**4/9 - y**3/6 + y**2/3 - 8*y. Let u(a) = 0. Calculate a.
-2/5, 1/4
Let g(i) be the second derivative of -i**9/3780 - i**8/6720 - 2*i**4/3 + 5*i. Let c(x) be the third derivative of g(x). Factor c(h).
-h**3*(4*h + 1)
Let s(k) be the second derivative of -k**7/525 + k**6/150 - k**4/30 + k**3/15 + 9*k**2/2 - 8*k. Let u(p) be the first derivative of s(p). Factor u(d).
-2*(d - 1)**3*(d + 1)/5
Suppose 0 = 2*w - 48 + 34. Let c(t) = -t**2 + 9*t - 12. Let j be c(w). Solve 0 - 2/7*a**j + 2/7*a = 0 for a.
0, 1
Let c(m) = -m**2 - 5*m + 17. Let y be c(-7). Factor -2*w**2 - 4/9 - 10/9*w**y - 2/9*w**4 - 14/9*w.
-2*(w + 1)**3*(w + 2)/9
Factor -510/7*s - 2/7*s**3 + 450/7 + 62/7*s**2.
-2*(s - 15)**2*(s - 1)/7
Let p(j) be the second derivative of -21*j**4/16 - j**3/6 + j**2/2 + 9*j. Suppose p(c) = 0. Calculate c.
-2/7, 2/9
Find r, given that 15*r**4 + r**5 + 5*r**5 + 4*r**5 - 10*r**2 - 15*r**3 = 0.
-2, -1/2, 0, 1
Factor 8*c**3 + c**2 - 5*c**4 - c**2 - 3*c + c - c**2.
-c*(c - 1)**2*(5*c + 2)
Let g(o) be the second derivative of 5*o**7/42 + o**6/3 - o**5/2 - 10*o**4/3 - 35*o**3/6 - 5*o**2 - 7*o. Determine n, given that g(n) = 0.
-1, 2
Solve -4 - 3*n**2 + 6*n + 13*n**2 + 0 = 0 for n.
-1, 2/5
Let d = -1359 - -2536. Suppose 6*f + m = 2*f + 5005, 2*m = -5*f + 6260. Let -1200*o**3 - f*o**5 - 320*o**2 - 823*o**4 - 27*o - d*o**4 - 5*o = 0. What is o?
-2/5, 0
Let u(t) = 3*t - 1. Suppose 4*j = -j + 5. Let z be u(j). Factor b**2 + b**2 + z - 4.
2*(b - 1)*(b + 1)
Let v(x) be the first derivative of x**6/24 - x**5/10 - x**4/16 + x**3/6 - 7. Factor v(t).
t**2*(t - 2)*(t - 1)*(t + 1)/4
Let a(t) = -t. Let r be -7*(-2)/(-4)*2. Let v be a(r). Factor 3*s - 3*s - v*s**2 - s - 9*s**4 - 15*s**3.
-s*(s + 1)*(3*s + 1)**2
Let y(g) be the second derivative of g**5/60 - g**3/18 - 8*g. Factor y(u).
u*(u - 1)*