2/7*n**5 - 2/7*n**2. What is h in m(h) = 0?
-2/5, 0, 1
Let d be (6/(-18))/((-1)/6). Suppose d*m - 3*r + 1 + 5 = 0, 2*m + 8 = 4*r. Solve 2*y**2 + 16*y**5 + m*y + 50*y**3 - 4 - 14*y + 4*y**5 + 58*y**4 = 0.
-1, -2/5, 1/2
Let t(m) be the third derivative of 0*m**4 + 1/3*m**3 + m**2 + 0*m + 0 + 0*m**5 - 1/540*m**6. Let s(o) be the first derivative of t(o). Factor s(f).
-2*f**2/3
Let y(j) be the first derivative of -j**7/84 - 11*j**6/240 - 7*j**5/120 - j**4/48 + j**2 - 3. Let u(q) be the second derivative of y(q). What is w in u(w) = 0?
-1, -1/5, 0
Let c(h) be the first derivative of -h**6/45 + h**4/6 - 2*h**3/9 + 4*h - 5. Let q(x) be the first derivative of c(x). Factor q(d).
-2*d*(d - 1)**2*(d + 2)/3
Let s(u) be the first derivative of u**2 + u**2 + 2 - u**4 - 4 + 5. Factor s(h).
-4*h*(h - 1)*(h + 1)
Suppose -3*r + 9 = -3. Factor -327*d**3 - 12*d - 156*d**4 + 76*d**2 - 159*d**5 + 32*d**2 + 12*d**5 + 534*d**r.
-3*d*(d - 1)**2*(7*d - 2)**2
Let w(l) be the first derivative of l**6/4 + 4*l**5/5 + 3*l**4/4 - l**2/4 - 6. Find p such that w(p) = 0.
-1, 0, 1/3
Suppose 0 = 39*a - 5*a - 68. Suppose -2/9*k**4 - 2/9*k - 2/3*k**3 + 0 - 2/3*k**a = 0. Calculate k.
-1, 0
Let c(b) be the first derivative of -b**3/12 + b**2/2 - b + 4. Factor c(h).
-(h - 2)**2/4
Factor -10*d - 28*d - 15 + 28*d + 10*d**3 - 5*d**4 + 20*d**2.
-5*(d - 3)*(d - 1)*(d + 1)**2
Let v = 3 + 4. Suppose -t = -2*t + 3*x - v, -4*t + 2*x + 2 = 0. Determine p, given that -p**2 - 3*p**2 + 2*p**t = 0.
0
What is o in -2*o - 5*o + 5*o - 4 - 15*o**2 + 17*o**2 = 0?
-1, 2
Let b be (24/(-54))/((-6)/27). Factor 0*g - 1/3*g**b + 1/3.
-(g - 1)*(g + 1)/3
Suppose 2*j**2 + 5*j**2 - 3*j**2 = 0. Calculate j.
0
Let m(d) be the third derivative of 5*d**8/336 - d**7/7 + 7*d**6/12 - 4*d**5/3 + 15*d**4/8 - 5*d**3/3 - 23*d**2. Factor m(b).
5*(b - 2)*(b - 1)**4
Let z(m) be the second derivative of m**5/20 - m**4/36 + m**2 - m. Let d(o) be the first derivative of z(o). Factor d(i).
i*(9*i - 2)/3
Let x(l) be the first derivative of l**6/135 - l**5/90 - l**4/54 + l**3/27 - 2*l - 5. Let c(p) be the first derivative of x(p). Factor c(b).
2*b*(b - 1)**2*(b + 1)/9
Let m(j) be the third derivative of 0*j + 0 + 0*j**3 + j**2 + 1/2*j**4 + 1/40*j**6 - 1/5*j**5. Solve m(b) = 0 for b.
0, 2
Factor -7*f - 9/4*f**3 - 17/2*f**2 + 2.
-(f + 2)**2*(9*f - 2)/4
Let j be 426/(-21)*(-4)/32. Let p = j - 9/7. Factor -7/4*c**3 + 0 + p*c**4 + 1/2*c**2 + 0*c.
c**2*(c - 1)*(5*c - 2)/4
Let g(l) be the second derivative of l**5/80 - 13*l**4/16 + 169*l**3/8 - 2197*l**2/8 + 7*l. Determine n, given that g(n) = 0.
13
Let p(h) be the first derivative of -h**7/420 - h**6/120 - h**5/120 + 3*h**2/2 + 5. Let i(b) be the second derivative of p(b). What is j in i(j) = 0?
-1, 0
Let o(l) = l - 10. Let u be o(12). Factor -3 + 7 - u*h**3 - 2 + 2 + 6*h.
-2*(h - 2)*(h + 1)**2
Let y(d) be the first derivative of d**6/5 - 18*d**5/25 + 8*d**3/5 - 17. Factor y(q).
6*q**2*(q - 2)**2*(q + 1)/5
Let k(f) be the third derivative of 27*f**8/28 - 24*f**7/35 - 77*f**6/30 + 12*f**5/5 - 2*f**4/3 + 8*f**2. Solve k(q) = 0 for q.
-1, 0, 2/9, 1
Suppose 0 = -3*r - 5*p + 4, -8 = -4*r - p + 3. Factor -2/5*y**r + 1/5*y**5 + 0*y**2 + 1/5*y + 0*y**4 + 0.
y*(y - 1)**2*(y + 1)**2/5
Let w(i) be the first derivative of -9/4*i + 6 - 1/4*i**3 + 3/2*i**2. Find m, given that w(m) = 0.
1, 3
Let 3*g**3 + 7*g**5 - 3*g + 12*g**3 - 35*g**5 + 16*g**5 = 0. Calculate g.
-1, -1/2, 0, 1/2, 1
Let l be (6/72)/(2*2/36). Factor 1/4*n**5 - l*n**4 + 0*n**2 + 0*n + 1/2*n**3 + 0.
n**3*(n - 2)*(n - 1)/4
Determine b so that 0 + 2/13*b**4 + 2/13*b**3 - 2/13*b**2 - 2/13*b = 0.
-1, 0, 1
Let j(q) be the third derivative of -q**5/270 - q**4/27 - q**3/9 + 4*q**2. Solve j(p) = 0 for p.
-3, -1
Let w = 6 - 4. Let i(n) be the second derivative of 1/60*n**5 + 0 - 1/36*n**4 + 0*n**3 + w*n + 0*n**2. Factor i(r).
r**2*(r - 1)/3
Let i be ((-33)/(-15) + -1)*80/120. Suppose i*h**2 - 4/5 + 2/5*h**3 - 2/5*h = 0. What is h?
-2, -1, 1
Suppose 2*t + 10 = -3*q, q + 2 = -3*t + 1. Let w(h) be the first derivative of -1/2*h**4 + 0*h - h**2 + 4/3*h**3 + t. Suppose w(a) = 0. Calculate a.
0, 1
Let a(l) be the third derivative of l**8/6720 + l**7/1260 + l**6/720 - l**4/24 + 3*l**2. Let y(z) be the second derivative of a(z). Factor y(c).
c*(c + 1)**2
Factor 2*z + z**5 + 279*z**4 - z**2 - 2*z - z**3 - 278*z**4.
z**2*(z - 1)*(z + 1)**2
Let m(x) = 2*x**5 - 2*x**4 - 10*x**3 + 7*x**2 + 11*x + 8. Let k(c) = 2*c**5 - 2*c**4 - 10*c**3 + 6*c**2 + 12*c + 8. Let d(s) = 5*k(s) - 4*m(s). Factor d(t).
2*(t - 2)**2*(t + 1)**3
Let y(x) be the second derivative of -1/42*x**7 - 1/6*x**3 - 2/15*x**6 - 3*x + 0 + 0*x**2 - 3/10*x**5 - 1/3*x**4. What is j in y(j) = 0?
-1, 0
Let s(h) = h - 4. Let n be s(6). Factor j**2 + n*j + 1 - 5*j + 5*j.
(j + 1)**2
Let c = 10 - 9. Suppose 3 + c = 4*f, -3*f + 15 = 4*x. Factor -1/2*a**2 - 3/2*a**4 + 0 + 2*a**x + 0*a.
-a**2*(a - 1)*(3*a - 1)/2
Solve 0 + 0*t - 10/17*t**3 - 2/17*t**5 - 4/17*t**2 - 8/17*t**4 = 0.
-2, -1, 0
Find r such that 3/4*r + 0 + 3/8*r**2 = 0.
-2, 0
Let l = 316/19 - 2412/209. Let z = l + -370/77. Factor 4/7*a**3 + 4/7*a**2 - z*a**4 - 2/7*a - 2/7 - 2/7*a**5.
-2*(a - 1)**2*(a + 1)**3/7
Let g(f) be the second derivative of -3*f**5/110 - f**4/66 - 4*f - 2. What is h in g(h) = 0?
-1/3, 0
Suppose b = 4*b + 3. Let n be b - 2 - (-13)/4. Determine s, given that n*s**3 - 1/4*s + 0*s**2 + 0 = 0.
-1, 0, 1
Let u = 45 + -78. Let p = u - -67/2. What is z in 0*z + 1/2*z**2 - p = 0?
-1, 1
Factor 3/4*a - 1/4*a**4 + 0 - 3/4*a**3 + 1/4*a**2.
-a*(a - 1)*(a + 1)*(a + 3)/4
Let m = 22/45 - 16/45. Factor 2/15*d + 0 - m*d**2.
-2*d*(d - 1)/15
Let m(v) = -v**3 - 3*v**2 + 2*v - 5. Let s be m(-4). Factor s*g + 3*g**3 - 3*g**2 - 6*g**3 - 1 + 3*g**3 + g**3.
(g - 1)**3
Suppose 0 = -5*h + 5*x + 45, 38 - 1 = 5*h - 3*x. Find c such that 1 - h*c - 7*c**2 - 10*c**3 - c**5 + 11*c**2 + 6*c**2 + 5*c**4 = 0.
1
Let q(o) = o**3 + 11*o**2 + 11*o + 13. Let x be q(-10). Factor -2 + 5*d**2 + 3*d**3 - 5*d**3 - x*d**4 - d**3 + 2*d**3 + d.
-(d - 1)*(d + 1)**2*(3*d - 2)
Suppose 31*j**3 - 9*j**3 + 12*j + 36*j**2 + 0*j**5 + 3*j**5 + 17*j**3 + 18*j**4 = 0. Calculate j.
-2, -1, 0
Solve 60*y + 5*y**2 + 192 - 108*y - 2*y**2 = 0 for y.
8
Let m(p) = 5*p - 73. Let v be m(15). Let u(t) be the first derivative of -2/55*t**5 + v + 4/11*t**2 + 0*t - 3/22*t**4 + 0*t**3. Find x such that u(x) = 0.
-2, 0, 1
Let r(x) be the first derivative of -x**4/10 - 4*x**3/15 - x**2/5 - 5. Suppose r(a) = 0. What is a?
-1, 0
Let o = 29/60 - -1/60. Let g(p) be the first derivative of -1/3*p**3 - 2 + 2*p + o*p**2. Factor g(w).
-(w - 2)*(w + 1)
Let w(q) be the first derivative of q**7/21 + q**6/5 + q**5/10 - q**4/2 - 2*q**3/3 + q - 2. Let y(d) be the first derivative of w(d). Factor y(x).
2*x*(x - 1)*(x + 1)**2*(x + 2)
Suppose 5*f = 8*f - 6. Let o(i) be the first derivative of 1/8*i**4 + 1/12*i**3 + 0*i - 1/20*i**5 - 1/4*i**f + 1. Factor o(t).
-t*(t - 2)*(t - 1)*(t + 1)/4
Let l(k) = -k**4 + k**3 - k**2 + k. Let h(n) = 24*n**4 - 56*n**3 - 4*n**2 + 32*n - 12. Let u(a) = -h(a) - 8*l(a). Find d such that u(d) = 0.
-1, 1/2, 3
Let i = -2/203 + 613/406. Let o = 4 - 5/2. Find x such that -o*x**4 + 7/2*x**3 - i*x - 3/2*x**2 + 1 = 0.
-2/3, 1
Suppose -23*y**2 + 0*y + 20*y**2 - 3*y = 0. Calculate y.
-1, 0
Let j(g) be the third derivative of g**7/1155 - g**6/660 - g**5/330 + g**4/132 + 5*g**2. Let j(p) = 0. Calculate p.
-1, 0, 1
Factor 1/3*q**2 - 1/6*q + 0 - 1/6*q**3.
-q*(q - 1)**2/6
Let z(n) be the first derivative of -n**6/1800 - n**5/150 - n**4/30 - 2*n**3/3 - 4. Let b(s) be the third derivative of z(s). Suppose b(a) = 0. Calculate a.
-2
Let j = 279 + -277. Find f, given that f + 0 + 1/2*f**3 - 3/2*f**j = 0.
0, 1, 2
Let d(z) be the first derivative of 1/6*z**2 + 2*z + 3 + 1/36*z**4 - 1/9*z**3. Let a(g) be the first derivative of d(g). Factor a(l).
(l - 1)**2/3
Let n(s) be the second derivative of 0*s**2 + 1/24*s**3 - 1/48*s**4 - s + 0. Factor n(r).
-r*(r - 1)/4
Factor -8/9*x**3 + 4/3*x**2 + 2/9 + 2/9*x**4 - 8/9*x.
2*(x - 1)**4/9
Let r(v) be the third derivative of v**6/120 - v**5/60 - 5*v**4/24 - v**3/2 - 4*v**2. Let r(h) = 0. What is h?
-1, 3
Let l(s) be the third derivative of 0*s + 0*s**4 + 3*s**2 - 1/100*s**5 + 0 + 1/10*s**3. Factor l(c).
-3*(c - 1)*(c + 1)/5
Determine m so that 12*m**3 + 2*m + 90*m**4 - 