/60*s**5 - s**2 - s + 0 + 1/24*s**4. Let j(l) be the first derivative of g(l). Suppose j(m) = 0. What is m?
0, 1
Let u be 5 - (0/2 + 1). Let g(v) be the third derivative of 0*v**u - 1/270*v**5 + 0 + 0*v + 0*v**3 - v**2. Factor g(t).
-2*t**2/9
Let a(v) be the first derivative of 1/8*v**4 - 1/10*v**5 + 0*v**2 - 1/12*v**6 - 6 + 1/6*v**3 + 0*v. What is i in a(i) = 0?
-1, 0, 1
Let x(y) = -4*y**4 + 4*y**3 + 19*y**2 - 19*y + 3. Let z(u) = 4*u**4 - 4*u**3 - 20*u**2 + 20*u - 4. Let c(w) = 4*x(w) + 3*z(w). Factor c(j).
-4*j*(j - 2)*(j - 1)*(j + 2)
Let j = -5 + 8. Factor -2/7*k**5 - 2/7*k**2 + 2/7*k**4 + 0*k + 0 + 2/7*k**j.
-2*k**2*(k - 1)**2*(k + 1)/7
Factor -9/4*r**2 + 0 + 3/2*r.
-3*r*(3*r - 2)/4
Let t be ((-2)/(-9))/((-640)/(-576)). Solve 0 + 1/5*v**2 + 0*v - t*v**3 = 0 for v.
0, 1
Factor -87*y - 160*y**2 + 80*y**3 + 2*y**5 - 20*y**4 + 247*y - 34 - 30.
2*(y - 2)**5
Let p(w) = -w**2 + 5*w + 9. Let u be p(7). Let q be 2/u + (-168)/(-270). Let -q*m**2 - 4/9*m**3 + 0 + 0*m - 2/9*m**4 = 0. What is m?
-1, 0
Let s = -5/2 - -17/6. Factor 0 - 4/3*k**2 + s*k**3 + 4/3*k.
k*(k - 2)**2/3
Let l(v) be the third derivative of v**6/120 - 11*v**5/60 + 19*v**4/24 - 3*v**3/2 - 12*v**2 - 2. Let l(a) = 0. Calculate a.
1, 9
Let r(i) = -2*i**2 - 4*i + 3. Let p(u) be the first derivative of 7*u**3/3 + 15*u**2/2 - 11*u - 2. Let m(s) = -6*p(s) - 22*r(s). Find k such that m(k) = 0.
0, 1
Factor -1/7*z**4 - 1/7*z**5 + 0 + 1/7*z**2 + 0*z + 1/7*z**3.
-z**2*(z - 1)*(z + 1)**2/7
Let i(t) = 4*t**5 + 4*t**4 - 6*t**3 - t**2 - t - 3. Let j(y) = -7*y**5 - 7*y**4 + 11*y**3 + 2*y**2 + y + 5. Let b(d) = 5*i(d) + 3*j(d). Factor b(h).
-h*(h - 1)**2*(h + 1)*(h + 2)
Let c(m) = 4*m**3 - 4*m**2 - 80*m. Let q(a) = a**3 - a**2 - 27*a. Let v(k) = -3*c(k) + 8*q(k). Solve v(f) = 0.
-2, 0, 3
Factor 84*k**3 + 64/7 + 416/7*k + 124*k**2.
4*(3*k + 1)*(7*k + 4)**2/7
Let r(l) be the third derivative of -1/24*l**4 + 3*l**2 + 0*l**3 + 0 - 1/105*l**7 + 0*l + 1/30*l**5 + 0*l**6 + 1/336*l**8. Suppose r(j) = 0. Calculate j.
-1, 0, 1
Let l(j) be the third derivative of j**8/6720 - j**6/720 - j**4/12 + j**2. Let d(k) be the second derivative of l(k). Factor d(r).
r*(r - 1)*(r + 1)
Let x(s) be the second derivative of -s**7/42 - s**6/30 + s**5/10 + s**4/6 - s**3/6 - s**2/2 - 7*s. Find t, given that x(t) = 0.
-1, 1
Suppose 0 = -5*m + 2*f + 22, 0 = -3*m - 28*f + 29*f + 13. Factor 0 + 1/5*l**m - 1/5*l**2 + 0*l**3 + 0*l.
l**2*(l - 1)*(l + 1)/5
Let h be 22/(-3)*3/(-2). Let b = h - 8. Find r such that -1 + r**b + 1 - r**2 = 0.
0, 1
Let i(j) be the first derivative of -j**7/60 - j**6/36 + j**5/30 - 5*j**3/3 - 4. Let w(y) be the third derivative of i(y). Factor w(a).
-2*a*(a + 1)*(7*a - 2)
Let o be 0 - ((-50)/14 - (-2 - 1)). Find l, given that o - 2/7*l**2 + 2/7*l = 0.
-1, 2
Let p(m) = -m - 8. Let d be p(-10). Let s be 0/d*(0 + -1). Factor s*q**2 + 5*q**3 + 2*q - q**2 - 4*q**2 - 2*q**3.
q*(q - 1)*(3*q - 2)
Let k(j) = -18*j - 194. Let q be k(-11). Suppose 2*f + 1/4*f**2 + q = 0. Calculate f.
-4
Let y(t) be the second derivative of -t**5/300 + 5*t**2/2 + 7*t. Let x(n) be the first derivative of y(n). Let x(z) = 0. What is z?
0
Let u(k) = k + 1. Let p(v) = 4*v**3 - v**2 + 8*v + 8. Suppose 3*f = -12, -5*f - 11 = 2*l + 3. Let w(a) = l*p(a) - 24*u(a). Suppose w(n) = 0. What is n?
0, 1/4
Let z(a) = a**4 - a**3 + a**2 - a - 1. Let j(s) = 9*s**3 + 3*s + 3. Let k(c) = -j(c) - 3*z(c). Factor k(m).
-3*m**2*(m + 1)**2
Let m(o) = 13*o**3 + 28*o**2 + 13*o + 2. Let z(i) = 14*i**3 + 29*i**2 + 13*i + 2. Let l(p) = -5*m(p) + 4*z(p). Solve l(a) = 0.
-2, -1/3
Let v(o) = -o**2 + 7*o - 10. Let c be v(3). Factor -1/3*x**c - 2/3 - x.
-(x + 1)*(x + 2)/3
Factor 5*s - 5*s**2 + 10*s**4 + 25*s**2 - 5*s**3 + 2*s**3 + 28*s**3.
5*s*(s + 1)**2*(2*s + 1)
Solve 8*v - v**3 - 9*v + 2*v = 0.
-1, 0, 1
Let l(h) be the first derivative of -1/9*h**6 + 0*h + 4/15*h**5 - 4/9*h**3 - 4 + 0*h**4 + 1/3*h**2. Determine a, given that l(a) = 0.
-1, 0, 1
Let d(g) = 20*g**2 + 272*g + 1460. Let z(i) = -13*i**2 - 181*i - 973. Let t(w) = 5*d(w) + 8*z(w). Factor t(r).
-4*(r + 11)**2
Let i = 5 - 2. Determine w so that -w**i + 0*w**2 - 3*w - 2*w**2 + 2*w = 0.
-1, 0
Let u(w) be the first derivative of -3*w**6/2 - 11*w**5/5 + 4*w**4 + 4*w**3/3 - 15. Solve u(n) = 0.
-2, -2/9, 0, 1
Let k(l) be the second derivative of l**4/32 + 5*l**3/4 + 75*l**2/4 - 32*l. Solve k(v) = 0.
-10
Solve 8/15*y + 0 - 2/15*y**3 + 2/15*y**4 - 8/15*y**2 = 0 for y.
-2, 0, 1, 2
Let q(f) be the first derivative of f**5/20 - 3*f**4/8 + 2*f**3/3 + 3*f**2/4 - 9*f/4 + 45. Factor q(j).
(j - 3)**2*(j - 1)*(j + 1)/4
Let u be (-4)/(-7) + (-40)/70. Let j(o) be the third derivative of 1/12*o**3 - 1/240*o**6 + u + 1/48*o**4 + 0*o - o**2 - 1/120*o**5. What is w in j(w) = 0?
-1, 1
Let z(n) be the second derivative of -n**4/16 + 5*n**3/12 - 3*n**2/8 + 5*n. Factor z(q).
-(q - 3)*(3*q - 1)/4
Let t be ((-3)/2)/((-3)/8). Suppose 2*h - 1 = 5. Find w such that 4*w**t - 4*w**3 - 3*w**4 + 3*w**h + w**5 - w**2 = 0.
-1, 0, 1
Let o(f) be the third derivative of -f**6/160 + f**5/80 + 5*f**4/32 + 3*f**3/8 + 7*f**2. Find g such that o(g) = 0.
-1, 3
Suppose -1 - 14 = -5*l. Determine a, given that -l*a**4 - 7*a**2 + 9*a**2 - 2*a**3 + 2*a**5 + a**4 = 0.
-1, 0, 1
Let o(p) be the first derivative of -1/180*p**6 + 1/15*p**5 - 1/3*p**4 + 0*p**2 - p**3 - 3 + 0*p. Let i(d) be the third derivative of o(d). Factor i(m).
-2*(m - 2)**2
Factor 2/5*m**3 + 8/5*m - 8/5*m**2 + 0.
2*m*(m - 2)**2/5
Let z(h) = -17*h**4 - 24*h**3 - 16*h**2 - 9*h + 9. Let a(x) = -4*x**4 - 6*x**3 - 4*x**2 - 2*x + 2. Let t(y) = 18*a(y) - 4*z(y). Factor t(b).
-4*b**2*(b + 1)*(b + 2)
Suppose -53 = 5*g - 8. Let t = -7 - g. Solve h + 9/2*h**t + 0 = 0 for h.
-2/9, 0
Let g = -55 - -111/2. Let -1/4*h - g + 1/4*h**2 = 0. What is h?
-1, 2
Let r = 6 - 16/3. Let j(g) be the first derivative of 0*g**2 - 2 + 0*g + r*g**3. Factor j(d).
2*d**2
Factor -18/13*j**3 + 42/13*j**2 + 8/13 - 32/13*j.
-2*(j - 1)*(3*j - 2)**2/13
Find r, given that 0 + 2/5*r**4 + 0*r + 2/5*r**3 + 0*r**2 = 0.
-1, 0
Let h(g) be the first derivative of g**7/315 - g**6/90 + g**4/18 - g**3/9 + g**2/2 + 3. Let x(v) be the second derivative of h(v). Solve x(l) = 0 for l.
-1, 1
Let y(m) be the third derivative of 0 - 11/24*m**4 - 19/60*m**5 + 3*m**2 - 1/3*m**3 + 0*m - 13/120*m**6 - 1/70*m**7. Find n such that y(n) = 0.
-2, -1, -1/3
Let s be (6/(-14))/((-126)/196). Factor s*k - 1/3*k**2 + 1.
-(k - 3)*(k + 1)/3
Let k(i) be the second derivative of i**8/6720 - i**7/2520 - i**4/4 + 3*i. Let z(v) be the third derivative of k(v). Find u such that z(u) = 0.
0, 1
Let w = -997/3 + 333. Factor w*f + 2/3*f**2 + 0.
2*f*(f + 1)/3
Let d(t) be the second derivative of t**6/90 - t**5/15 + t**4/6 - 2*t**3/9 + t**2/6 - 23*t. Suppose d(s) = 0. Calculate s.
1
Let a(g) = g**3 + 12*g**2 - g - 10. Let r be a(-12). Let d be 0/1*r/(-4). Suppose -2/3*o**2 + 0*o**3 + d - 1/3*o + 2/3*o**4 + 1/3*o**5 = 0. What is o?
-1, 0, 1
Let o(n) = n**2 + 2. Let p(l) = 1. Let x(y) = -3*o(y) + 6*p(y). Factor x(t).
-3*t**2
Let m(l) = -l**2 - 10*l - 2. Let d be m(-8). Factor -2*r**2 + d*r**2 + 4*r**4 + 14*r**4 + 9*r**4 + 36*r**3.
3*r**2*(3*r + 2)**2
Let q be 2/3*-3 + 4. Let d = 3 - 1. Let -8/3*a**d + 2/3 - q*a = 0. What is a?
-1, 1/4
Suppose 4*i - 4 - 4 = 0. Factor 4*v**3 + 2*v**2 + v**5 - 3*v**3 - 2*v**4 - i*v**5.
-v**2*(v - 1)*(v + 1)*(v + 2)
Let b(s) be the second derivative of 2*s**7/21 + 8*s**6/15 + s**5 + 2*s**4/3 + 20*s + 2. Find y such that b(y) = 0.
-2, -1, 0
Let q(v) be the first derivative of 1/15*v**3 + 0*v + 2 + 1/5*v**2. Factor q(i).
i*(i + 2)/5
Let w(p) = -p**3 - 3*p**2 - 3*p + 5. Let x(k) = 1. Let i be (-1)/(-2) - (-18)/4. Suppose -5*l - i - 25 = 0. Let v(m) = l*x(m) + w(m). Solve v(a) = 0.
-1
Let r(g) be the second derivative of g**5/10 - g**3/3 + g. Factor r(w).
2*w*(w - 1)*(w + 1)
Let m be (-182)/(-4) + (-1)/2. Let v be 28/m - (-14)/(-63). Factor 0*t**2 - 2/5*t**3 + v*t + 0.
-2*t*(t - 1)*(t + 1)/5
Let k = 392 + -1959/5. Determine h, given that 0 + k*h**2 + 0*h = 0.
0
Determine w, given that w + 6/5 + 1/5*w**2 = 0.
-3, -2
Let t(f) be the third derivative of 0*f + 1/20*f**5 + 0 + 3/70*f**7 + 10*f**2 + 1/8*f**4 - 1/8*f**6 + 0*f**3. Find m, given that t(m) = 0.
-1/3, 0, 1
Let l be (2/5)/(63/15). Let m(n) be the first derivative of 0*n - 1 - l*n**3 + 4/7*n**4 - 