ctor 0 - 4/7*m**3 + 1/7*m**2 + 2/7*m - 3/7*m**4.
-m*(m + 1)**2*(3*m - 2)/7
Let v(y) = -y**2 + 8*y + 4. Let l be v(8). Let k(c) be the second derivative of 0 - 1/6*c**l + c + 2/3*c**3 + 0*c**2. Suppose k(a) = 0. Calculate a.
0, 2
Let v be -1*(2 + (3 - 3)). Let a(j) = j**2 + 10*j + 10. Let z(o) = -3*o**2 - 39*o - 39. Let k(m) = v*z(m) - 9*a(m). Factor k(l).
-3*(l + 2)**2
Let n(b) be the second derivative of -13*b**5/60 + 11*b**4/36 + b**3/9 - 3*b. Suppose n(p) = 0. Calculate p.
-2/13, 0, 1
Determine o, given that 5 + 5/2*o**4 - 15/2*o**2 - 5/2*o**3 + 5/2*o = 0.
-1, 1, 2
Let c(v) be the third derivative of v**6/120 - v**5/60 - 9*v**2. Find l such that c(l) = 0.
0, 1
Let o(y) = y**3 - 2*y - 1. Let m be o(2). Factor 2*g**2 + 1 - 2*g**m + 2*g - g**4 + 0 - 2*g**2.
-(g - 1)*(g + 1)**3
Let 1/4*z**5 - 3*z + 11/4*z**3 + 2 - 1/2*z**2 - 3/2*z**4 = 0. Calculate z.
-1, 1, 2
Factor 0 + 2/3*b**3 + 2/9*b - 2/3*b**2 - 2/9*b**4.
-2*b*(b - 1)**3/9
Let y(m) be the first derivative of m**3/4 + 3*m**2/2 + 3*m + 1. Suppose y(l) = 0. What is l?
-2
Let n be (0/1)/(-3) - -2. Determine k, given that -4*k**3 + 5*k**n - 3*k**3 - 2*k**2 + 4*k**3 = 0.
0, 1
Suppose -4*d = 4*c - 24, 0 = -d - d + 3*c - 8. Factor 0*f**d - 1/2*f + 1/2*f**3 + 0.
f*(f - 1)*(f + 1)/2
Let p be 2*(-11)/55 - 24/(-10). Suppose 2/3 + 1/3*n**p - n = 0. Calculate n.
1, 2
Let p(c) = c**2 - 10*c. Let f be 2/(-11) - (-90)/(-110). Let j(b) = -b**2 + b. Let t(h) = f*p(h) - 4*j(h). Factor t(r).
3*r*(r + 2)
Let y(q) be the second derivative of 0*q**4 - 2/15*q**3 - 1/5*q**2 + 5*q + 1/75*q**6 + 0 + 1/25*q**5. Factor y(p).
2*(p - 1)*(p + 1)**3/5
Let o = -60 + 63. Let 8/3*n**2 + 4/9 - 10/9*n**o - 2*n = 0. What is n?
2/5, 1
Let q be 6/(-36) + 13/6. Factor -o**3 + 5*o - 3*o**2 + 7*o**2 + 2 + 0*o**3 + q*o**3.
(o + 1)**2*(o + 2)
Suppose 5 = -5*o - 4*u, 0*o - 14 = -3*o + u. Factor -16*v - 2 - 35*v**3 - 18*v**4 + 4*v**3 - 44*v**2 - 17*v**o.
-2*(v + 1)**2*(3*v + 1)**2
Let u = 91 - 269/3. Let h be (-150)/(-360) + (-2)/(-8). Factor -5/3*n - u*n**2 - h - 1/3*n**3.
-(n + 1)**2*(n + 2)/3
Let w = -26207/96 + 273. Let f(u) be the third derivative of -7/240*u**5 - w*u**6 - 1/48*u**4 + 0*u**3 + 2*u**2 + 0 + 0*u. Let f(t) = 0. What is t?
-1, -2/5, 0
Let f(s) be the first derivative of s - 1/2*s**2 - 3*s**3 - 11/4*s**4 - 4/5*s**5 - 5. Factor f(j).
-(j + 1)**3*(4*j - 1)
Let f(n) = 4*n**2 + 2*n. Let i(q) be the second derivative of 0*q**2 - 7/12*q**4 + 0 - q - 1/2*q**3. Let r(v) = 5*f(v) + 3*i(v). What is z in r(z) = 0?
0, 1
Let b(l) be the second derivative of 1/4*l**3 - 4*l + 1/24*l**4 + 0 + 1/2*l**2. Factor b(v).
(v + 1)*(v + 2)/2
Let d(i) = i**4 + i - 1. Let m(t) = -30*t**4 - 5*t**3 + 15*t**2 - 20*t + 15. Let l(y) = -25*d(y) - m(y). Solve l(s) = 0 for s.
-2, -1, 1
Let k(c) be the first derivative of -2*c**3/51 + 6*c**2/17 - 18*c/17 - 2. Factor k(m).
-2*(m - 3)**2/17
Let d(z) be the first derivative of z**6/54 + 2*z**5/45 - z**4/36 - 2*z**3/27 + 60. Factor d(h).
h**2*(h - 1)*(h + 1)*(h + 2)/9
Let h(u) = u**3 - 2*u**2 - 2*u - 2. Let m(k) = -k**3 + k + 1. Let p(o) = -h(o) - 2*m(o). Find b such that p(b) = 0.
-2, 0
Let h be ((-5)/(-15))/((-4)/(-60)). Factor -1/3*p + p**h + 11/3*p**4 - 1/3 + 2*p**2 + 14/3*p**3.
(p + 1)**4*(3*p - 1)/3
Let d(t) be the second derivative of -t**10/196560 + t**9/24570 - t**8/8736 + t**7/8190 - t**4/3 - 7*t. Let w(x) be the third derivative of d(x). Factor w(p).
-2*p**2*(p - 2)*(p - 1)**2/13
Let o be 22/(-88) - 2/(-24)*11. Determine l so that -4/3*l**3 + 2/3*l**5 - 2/3 + 4/3*l**2 + 2/3*l - o*l**4 = 0.
-1, 1
Determine l so that 2*l**2 - 8 + l**2 - l**2 = 0.
-2, 2
Let z(a) = -3*a + 6 + a**3 - 12 + a - 4*a**2 - 2*a**3. Let l be z(-4). Determine j so that 4*j - 3*j**2 + 2*j**l + 3*j**2 = 0.
-2, 0
Factor 0 - 4/3*o**4 - 2/3*o + 2/3*o**5 + 4/3*o**2 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/3
Let o = -64 - -130. Let k be (11/o)/((-1)/(-3)). Factor 0*n**2 - 1/2*n**5 + n**3 + 0*n**4 - k*n + 0.
-n*(n - 1)**2*(n + 1)**2/2
Let d(x) = -7*x**3 + x + 4. Let o(k) = -10*k**3 + 2*k + 6. Suppose -4*s = -17 - 11. Let l(f) = s*d(f) - 5*o(f). Suppose l(m) = 0. What is m?
-1, 2
Factor 4/9*r + 2/3 - 2/9*r**2.
-2*(r - 3)*(r + 1)/9
Let m(w) = w**3 - 6*w**2 + 4*w + 2. Let p be m(4). Let n be (-4)/(-6) - p/6. Factor 3*k**3 + 0*k - 5*k**n + 2*k.
-2*k*(k - 1)*(k + 1)
Let a(b) be the second derivative of 1/60*b**5 + 1/18*b**3 + 0 - 1/18*b**4 - 3*b + 0*b**2. Factor a(y).
y*(y - 1)**2/3
Factor -2*k**3 + 58*k + k**3 - 5*k**2 - 54*k + 2*k**3.
k*(k - 4)*(k - 1)
Let c be 26*(-3)/(-24) + -3. Let a = c + 5/12. Factor -a*o**3 - 2/3*o**2 + 2/3 + 2/3*o.
-2*(o - 1)*(o + 1)**2/3
Suppose -1/6*x**2 + 1/6*x**4 + 0*x + 0*x**3 + 0 = 0. What is x?
-1, 0, 1
Let s(w) be the first derivative of -1/18*w**3 + 1/3*w**2 - 1/2*w - 1. Determine k, given that s(k) = 0.
1, 3
Let h = 16 + -14. Suppose -5*o + 1 = -4*u - 9, 4*u = -5*o + 10. Solve -r**h - 2*r + 4*r**o - r**2 = 0.
0, 1
Let t(r) = r**3 - 5*r**2 + 5*r + 5. Let m(f) = -2*f**2 + 2*f + 2. Let b(c) = -5*m(c) + 2*t(c). What is i in b(i) = 0?
0
Let h(a) be the third derivative of -2*a**6/15 + a**4/2 + 2*a**3/3 - 2*a**2. Factor h(r).
-4*(r - 1)*(2*r + 1)**2
Let d(y) be the first derivative of y**5/10 - y**3/2 + y**2/2 + 6. Find b, given that d(b) = 0.
-2, 0, 1
Let y(d) be the third derivative of -d**6/20 + 3*d**5/40 + 9*d**4/16 + d**3/2 + 3*d**2. Suppose y(s) = 0. What is s?
-1, -1/4, 2
Let u(x) be the third derivative of -x**9/30240 + x**8/3360 - x**7/840 + x**6/360 + 7*x**5/60 + x**2. Let q(v) be the third derivative of u(v). Factor q(y).
-2*(y - 1)**3
Let r(y) = -11*y**2 + 9*y - 3. Let z(u) = -12*u**2 + 10*u - 4. Let w be 1/(-2)*(-2 + 4). Let q = w + -5. Let h(a) = q*r(a) + 5*z(a). Factor h(x).
2*(x - 1)*(3*x + 1)
Let b be 28/(-8)*10/(-7). Let z(q) be the second derivative of 0 - 1/50*q**b - 1/5*q**2 + 3*q - 1/10*q**4 - 1/5*q**3. Suppose z(t) = 0. What is t?
-1
Suppose -4*v = 3*h + 12, -v + 5*v + h + 4 = 0. Suppose v*r + 1/5*r**2 - 1/5 = 0. What is r?
-1, 1
Suppose 3*w - k - 12 = 0, 0*k = -3*w + 3*k + 6. Suppose w = h + 2. Factor 0*f**4 + 2/3*f**5 - 4/3*f**h + 2/3*f + 0 + 0*f**2.
2*f*(f - 1)**2*(f + 1)**2/3
Determine c so that -8/5 - 36/5*c**2 - 44/5*c = 0.
-1, -2/9
Suppose 3*t + 8 = 7*t. Suppose -5*m = c + 5, -5*c - 3*m - 1 - t = 0. Factor 0*a**2 + 0*a**4 + 0*a + 1/2*a**5 + c - 1/2*a**3.
a**3*(a - 1)*(a + 1)/2
Suppose -5*r + 144 = 54. Suppose n - 3*k - r = 0, -n - 7 = -5*k - 35. Suppose l + 0*l**3 - n*l + 2*l**3 = 0. Calculate l.
-1, 0, 1
Solve -1/2*i**3 + 1/2*i**2 + 0*i + 0 = 0.
0, 1
Let q be (-2 + -10)*5/(-23 - -3). Factor -5/3*x**4 + 2/3*x + q*x**3 + 1/3*x**5 - 7/3*x**2 + 0.
x*(x - 2)*(x - 1)**3/3
Let j(u) = u**3 - 3*u**2 - 5*u + 6. Suppose 17 = 3*h - 7*d + 2*d, h = -4*d. Let w be j(h). Determine g, given that 1/3*g**w + 0 - 2/3*g = 0.
0, 2
Let f(u) be the first derivative of 3*u**5/20 + 3*u**4/4 + 4*u + 2. Let r(q) be the first derivative of f(q). Let r(j) = 0. Calculate j.
-3, 0
What is x in 30/7*x**2 + 0*x**3 - 3/7*x**5 - 18/7 - 12/7*x**4 + 3/7*x = 0?
-3, -2, -1, 1
Let s(k) = -k**3 + 10*k**2 - 10*k + 13. Let u be s(9). Suppose v - u*v = 0. Factor 1/2*g + v + 1/4*g**2.
g*(g + 2)/4
Let w be (-304)/(-24) - (-2)/(-3). Factor -4*m**2 - 10*m**4 + 18*m**3 - 28*m**3 - w*m**3 - 22*m**4 - 14*m**5.
-2*m**2*(m + 1)**2*(7*m + 2)
Suppose -12 = -4*v - 0*v. Let b = 6 - v. What is j in -1/3*j**4 - 2/3 + 5/3*j**3 - b*j**2 + 7/3*j = 0?
1, 2
Let o be (-1*28)/((-5)/(-20)). Let p be (-2)/7 - 1544/o. What is i in 0 - p*i**3 - 9*i**2 - 3/2*i = 0?
-1/3, 0
Let r = -7 + 13. Determine b so that -3*b**2 + 1 + 1 + 1 + r*b + 6*b**2 = 0.
-1
Let v(r) be the second derivative of -r**4/3 + r**3/2 - r**2 + r. Let n(y) = 20*y**2 - 16*y + 10. Let j(s) = 3*n(s) + 14*v(s). Factor j(k).
2*(k - 1)*(2*k - 1)
Let a(s) = -11*s**4 + 17*s**3 + 25*s**2 - 32*s + 11. Let b(v) = v**4 + v**3 - v**2 + 1. Let r(o) = -2*a(o) + 10*b(o). Determine n so that r(n) = 0.
-3/2, 1/4, 1
Let c(o) be the third derivative of o**10/10080 - o**9/5040 + o**4/24 - 2*o**2. Let v(q) be the second derivative of c(q). Determine j so that v(j) = 0.
0, 1
Let p = -1 - -1. Let z = -159 + 162. Determine h so that p - 2/3*h**2 + 0*h - 2/3*h**z = 0.
-1, 0
Let m(b) = -54*b**3 + 42*b**2 + 5*b + 7. Let u(n) = -36*n**3 + 28*n**2 + 3*n + 5. Let p(j) = -5*m(j) + 7*u(j). Find w such that p(w) = 0.
-2