1/8*o**5 + 0 = 0.
-2, -1, 0
Let i be (0/(-29))/(8 + -4). Determine v, given that 0*v - 10/7*v**3 - 16/7*v**4 + i - 8/7*v**5 - 2/7*v**2 = 0.
-1, -1/2, 0
Let o(g) be the second derivative of -g**9/45360 + g**8/6720 - g**6/540 - 13*g**4/6 + 37*g. Let f(w) be the third derivative of o(w). Factor f(z).
-z*(z - 2)**2*(z + 1)/3
Let j(c) be the second derivative of -11*c**4/21 + 2*c**3/21 + 27*c - 8. Factor j(h).
-4*h*(11*h - 1)/7
Suppose 2*t + 14 = 26. Let v(l) be the second derivative of -1/60*l**t - 3/8*l**4 - 1/2*l**2 + 1/8*l**5 + 0 + 7/12*l**3 + 4*l. Factor v(h).
-(h - 2)*(h - 1)**3/2
Let k(g) be the first derivative of -9*g**4/16 - 34*g**3 + 275*g**2/8 - 23*g/2 + 284. Let k(b) = 0. Calculate b.
-46, 1/3
Let v(m) be the second derivative of m**5/140 + 23*m**4/21 + 1058*m**3/21 + 184*m - 3. Factor v(k).
k*(k + 46)**2/7
Let t(i) be the second derivative of -i**6/15 - 6*i**5/25 + 8*i**4/15 + 16*i**3/5 + 16*i**2/5 - 2*i + 8. Determine z, given that t(z) = 0.
-2, -2/5, 2
What is n in -561/4*n**2 - 6539203/4 - 1/4*n**3 - 104907/4*n = 0?
-187
Let 2/13*g**2 + 20/13 - 14/13*g = 0. Calculate g.
2, 5
Let l(z) = 7*z**2 + 3*z - 4. Let v be l(-2). Let t be (3*28/v)/(6 + -4). Let 7/3*k**3 - t*k - 2/3*k**2 + 2/3 = 0. What is k?
-1, 2/7, 1
Factor -35*l**3 + 7*l**3 - 216*l + 958*l**2 - 194*l**2.
-4*l*(l - 27)*(7*l - 2)
Let o be 35/(-10)*(80/84 - 1). Find x such that -o*x - 1/6*x**3 + 0 - 1/3*x**2 = 0.
-1, 0
Determine s so that -4 + 18/5*s + 2/5*s**2 = 0.
-10, 1
Find s, given that -888/7*s**2 - 169/7*s**4 - 104*s**3 - 32*s - 16/7 = 0.
-2, -2/13
Let o(y) = -y**3 + 9*y**2 + 3*y. Let d be o(9). Determine j, given that -4*j**4 - 5*j**2 + 49*j**3 + 7*j + 9*j - 29*j**3 - d*j**2 = 0.
0, 1, 2
Let i(s) = -18*s**2 + 16*s + 2. Let p be i(1). Suppose p + 0*t**2 + 4/11*t**3 + 0*t + 2/11*t**4 - 2/11*t**5 = 0. Calculate t.
-1, 0, 2
Let l = -454/3 - -154. Suppose u + 384 - 401 = 3*x, 9 = -3*x. Factor 0*m + l*m**2 - 18*m**4 + 0 + u*m**3.
-2*m**2*(3*m - 2)*(9*m + 2)/3
Suppose -7*q + 12*q - 40 = 0. Find x, given that -11*x + 22*x - 11*x + 4*x**5 + 20*x**3 + 16*x**4 + q*x**2 = 0.
-2, -1, 0
Factor -3/8*p**3 + 6*p + 6 - 3/8*p**2.
-3*(p - 4)*(p + 1)*(p + 4)/8
Let t(i) be the second derivative of i**4/4 - 2*i**3 - 15*i**2/2 - 13*i. Factor t(c).
3*(c - 5)*(c + 1)
Let f(s) be the second derivative of s**6/90 + s**5/10 + s**4/3 - 7*s**3/3 + 3*s. Let r(w) be the second derivative of f(w). Solve r(b) = 0.
-2, -1
Let w(t) = t**3 + 6*t**2 + 3*t. Let c(h) = -3*h**3 - 19*h**2 - 8*h + 1. Let m(a) = -2*c(a) - 7*w(a). Factor m(b).
-(b + 1)**2*(b + 2)
Let r(t) be the third derivative of t**6/40 - 17*t**5/20 + 91*t**4/8 - 147*t**3/2 - 11*t**2 + 5*t. Determine x so that r(x) = 0.
3, 7
Let r = 43 - 41. Let f(x) be the second derivative of -1/2*x**r + 1/60*x**6 + 0 - 1/8*x**4 - 1/40*x**5 + 5/12*x**3 + 4*x. Factor f(c).
(c - 1)**3*(c + 2)/2
Let b(v) = -41*v**3 - 10*v**2 + 37*v + 46. Let q(x) = 26*x**3 + 7*x**2 - 25*x - 31. Let c(y) = 5*b(y) + 8*q(y). Factor c(u).
3*(u - 2)*(u + 1)*(u + 3)
Let u(b) be the second derivative of -1/96*b**4 - 1/240*b**5 + 0 + 13/2*b**2 - 2*b + 0*b**3. Let s(k) be the first derivative of u(k). Factor s(j).
-j*(j + 1)/4
Let v = -19 - -24. Suppose -3*j - 8 = -2*t, -t - 1 = 4*j - v. Solve -2*w - t*w**3 + w**2 + 3 + w**3 + 4*w**3 - 3*w = 0.
-3, 1
Let d be ((-292)/(-360))/((-14)/(-35)) - 2. Let n(l) be the second derivative of -1/18*l**3 + 0 + 0*l**2 - d*l**4 - 5*l. Factor n(k).
-k*(k + 1)/3
Let a be (-2)/(-1) - 4/6*-3. Factor -16*b**2 + 2*b**4 + 2*b**a + 32 + 0*b**4 - 2*b**4.
2*(b - 2)**2*(b + 2)**2
Let x(f) be the first derivative of 2*f**3/57 - 8*f**2/19 + 24*f/19 + 130. Suppose x(o) = 0. What is o?
2, 6
Let f(y) = -y**2 - 8*y - 21. Let v be f(-9). Let p be (1 + (-2)/10)/((-84)/v). Factor 6/7*a**4 - 6/7*a**3 + p*a**2 + 0 + 0*a - 2/7*a**5.
-2*a**2*(a - 1)**3/7
Let k(l) be the first derivative of -10*l**3 - 93*l**2/2 - 9*l - 232. Factor k(p).
-3*(p + 3)*(10*p + 1)
Let k(l) = -2*l**4 + 18*l**3 - 22*l**2 + 22*l - 4. Let j(a) = 4*a**4 - 37*a**3 + 42*a**2 - 45*a + 9. Let o(x) = 4*j(x) + 9*k(x). Factor o(t).
-2*t*(t - 3)**2*(t - 1)
Let v(k) be the first derivative of 4*k**5 - 7*k**4 + 12*k**2 - 8. Let r(t) = t**4 - t**3 + t. Let y(q) = 24*r(q) - v(q). Factor y(b).
4*b**3*(b + 1)
Let q(j) be the second derivative of -j**4/54 - 154*j**3/27 - 5929*j**2/9 + 2*j - 57. Determine y, given that q(y) = 0.
-77
Let u(y) be the second derivative of -1/168*y**7 + 3*y + 0*y**2 + 1/48*y**4 + 0 - 3/80*y**5 + 0*y**3 + 1/40*y**6. Suppose u(v) = 0. Calculate v.
0, 1
Let 34*q + 0*q**2 + 13*q + 25*q**2 - 12*q + 40 + 35*q = 0. What is q?
-2, -4/5
Let m(w) be the second derivative of 0 - 5*w + 1/138*w**4 - 2/23*w**3 + 5/23*w**2. Solve m(c) = 0.
1, 5
Find n, given that 15/4*n**2 - 9/4*n**3 + 0 + 3/4*n**5 - 3/4*n**4 - 3/2*n = 0.
-2, 0, 1
Let m = -35 + 39. Solve -16*p**3 - 3*p + 2 + 15*p**3 + p**4 + m*p - 3*p**2 = 0 for p.
-1, 1, 2
Suppose -5*q = -14 - 11. Factor -4/5*z**2 + 2/5*z**q + 0*z**4 - 6/5*z**3 + 0 + 0*z.
2*z**2*(z - 2)*(z + 1)**2/5
Let i(k) = -3*k + 65. Let b be i(21). Suppose z + 2 = -b, 3*j = 4*z + 70. Factor -64/5*n + 8/5 + 162/5*n**3 + j*n**2.
2*(n + 1)*(9*n - 2)**2/5
Determine u so that -32/3*u + 2/3*u**3 - 8 - 2*u**2 = 0.
-2, -1, 6
Let m(g) be the second derivative of -2*g**7/21 - 502*g**6/15 - 3074*g**5 + 47626*g**4/3 - 96266*g**3/3 + 32258*g**2 - 385*g. Solve m(c) = 0 for c.
-127, 1
Factor 8*c**2 + 575*c**3 - 563*c**3 + c**2 + c**4 + 2*c**4 + 3*c**2.
3*c**2*(c + 2)**2
Let a(h) = 25*h - 152. Let l be a(6). Let g be (l - (-40)/15)/((-5)/(-20)). Factor 0 - g*y**5 + 2/3*y**2 + 0*y - 14/3*y**4 - 4/3*y**3.
-2*y**2*(y + 1)**2*(4*y - 1)/3
Let a(r) = 3*r**3 - 7*r**2 - 28*r + 32. Let s(g) = 6*g**3 - 15*g**2 - 57*g + 63. Let j(w) = -9*a(w) + 4*s(w). Factor j(h).
-3*(h - 2)**2*(h + 3)
Let m(b) = 26*b - 416. Let r be m(16). Let u(y) be the third derivative of -y**2 - 1/120*y**5 + r + 0*y + 0*y**3 + 0*y**4. Factor u(q).
-q**2/2
Let j be (5/(-45))/((-840)/9). Let z(w) be the third derivative of 0*w + 1/160*w**6 - 2*w**2 - j*w**7 - 1/240*w**5 - 1/32*w**4 + 1/12*w**3 + 0. Factor z(h).
-(h - 2)*(h - 1)**2*(h + 1)/4
Let w = -17 + 18. Let n be (w/2)/(21/28). Let -5/3*p**3 - n + 2/3*p**2 + 5/3*p = 0. Calculate p.
-1, 2/5, 1
Suppose 10 = 5*h, 0*w = 5*w - 2*h - 1451. Let o be -3 - (w/(-90) + 1/(-6)). Suppose 0 + o*v**2 + 1/5*v - 2/5*v**4 + 0*v**3 - 1/5*v**5 = 0. What is v?
-1, 0, 1
Let n(r) be the second derivative of 2*r**7/63 - 4*r**6/45 + 2*r**4/9 - 2*r**3/9 + 52*r + 2. Determine h, given that n(h) = 0.
-1, 0, 1
Let s(a) = -5*a**2 - 6*a. Let h = -52 - -46. Let t(y) = -y**2 - y. Let o(x) = h*t(x) + s(x). Factor o(r).
r**2
Suppose -4*h = h - 20. Suppose p**3 + 26 - h*p - 26 - 3*p**2 = 0. Calculate p.
-1, 0, 4
Let h(i) be the second derivative of i**4/48 - 5*i**3/6 + 25*i**2/2 + 4*i - 13. Let h(f) = 0. What is f?
10
Suppose g - 22 = 3*c + 2*c, 0 = -3*g - 5*c - 14. Factor 23*h**4 - 8 + 12*h - 44*h**g - 7*h**4 + 24*h.
4*(h - 1)*(h + 2)*(2*h - 1)**2
Let l(h) be the second derivative of 5*h**7/7 - 23*h**6/15 - 3*h**5/5 + 11*h**4/3 - 3*h**3 + h**2 - 5*h + 4. Suppose l(y) = 0. Calculate y.
-1, 1/5, 1/3, 1
Solve -2/21*w**4 + 20/21*w**2 - 8/3*w + 8/21*w**3 + 10/7 = 0 for w.
-3, 1, 5
Let p(v) = -v**2 + 49*v - 387. Let q be p(10). Let i = 7 + -4. Factor 9/2*r**q + 0*r**4 + i*r**2 + 0*r - 3/2*r**5 + 0.
-3*r**2*(r - 2)*(r + 1)**2/2
Let c(i) be the first derivative of 5 + 7/5*i**3 - 3/20*i**4 + 27/5*i - 9/2*i**2. Factor c(d).
-3*(d - 3)**2*(d - 1)/5
Let k(a) be the second derivative of -a**4/4 - a**3/6 - 9*a**2/2 + 5*a. Let v(x) = 2*x**2 + x + 5. Let w(m) = -6*k(m) - 11*v(m). Let w(c) = 0. What is c?
-1, -1/4
Let t = 1/13 + 11/26. Let q = 10/3 - 19/6. Suppose 1/6*v - q*v**3 - t*v**2 + 1/3 + 1/6*v**4 = 0. What is v?
-1, 1, 2
Let r be 0 - 5/((-20)/(-758)). Let a = -185 - r. Factor -3/2 - a*c - 3/2*c**3 - 9/2*c**2.
-3*(c + 1)**3/2
Let i(a) be the first derivative of a**4/18 - 2*a**3/27 - 223. Let i(v) = 0. Calculate v.
0, 1
Suppose 0*u**2 + 0*u - 38/9*u**3 + 0 - 2/9*u**4 = 0. What is u?
-19, 0
Let s be (2/(-1) - -13)/1. Let w = s - -10. Factor 17*c + 47*c**2 - 125*c - w - 11*c**2 + 129 - 4*c**3.
-4*(c - 3)**3
Factor 0*z**2 + 0*z + 0 + 0*z**3 - 3/4*z**4 - 3/4*z**5.
-3*z**4*(z + 1)/4
Let 65*i**4 - 10*i**3 + 40*i - 63 - 60*i**2 + 1