f -j*k**4 + 0*k + 2/5*k**2 + 3 - 2/15*k**3. What is o in x(o) = 0?
-2, 0, 1
Let k(i) be the third derivative of i**5/60 - i**3/6 + 6*i**2. Let k(w) = 0. What is w?
-1, 1
Let u(m) be the second derivative of -m**4/3 - 2*m**3/3 + 4*m**2 + 2*m + 5. Factor u(c).
-4*(c - 1)*(c + 2)
Let g(x) be the first derivative of x**6/27 - 2*x**5/45 - x**4/18 + 2*x**3/27 - 9. Factor g(a).
2*a**2*(a - 1)**2*(a + 1)/9
Let f(q) be the second derivative of q**4/6 - 5*q**3/12 + q**2/4 - 20*q. Determine h so that f(h) = 0.
1/4, 1
Let o(m) be the third derivative of -1/60*m**6 + 1/12*m**4 - 1/30*m**5 + 1/3*m**3 + 0 + 4*m**2 + 0*m. Suppose o(r) = 0. Calculate r.
-1, 1
Let m(k) = -6 + 4*k**5 + k + k**2 - 3*k**3 + 1 + 3*k**4 + 4*k - 10*k**5. Let l(n) = n**5 - n + 1. Let u(p) = -5*l(p) - m(p). Factor u(a).
a**2*(a - 1)**3
Let x(g) be the first derivative of -g**8/168 + 2*g**7/105 - g**5/15 + g**4/12 - 3*g**2/2 - 3. Let o(q) be the second derivative of x(q). Factor o(l).
-2*l*(l - 1)**3*(l + 1)
Let n(m) be the third derivative of m**7/280 + m**6/60 + m**5/40 + m**3/3 + 2*m**2. Let o(w) be the first derivative of n(w). Find c, given that o(c) = 0.
-1, 0
Let p = 576/7 + -82. Find a, given that p*a**2 + 2/7 - 4/7*a = 0.
1
Let d be 8 + -5 - (-9)/(-4). Factor d*x + 1/2 + 1/4*x**2.
(x + 1)*(x + 2)/4
Let r(t) be the second derivative of t**8/13440 - t**7/5040 - t**4/12 - t. Let g(u) be the third derivative of r(u). Factor g(l).
l**2*(l - 1)/2
Let p(l) be the second derivative of l**5/15 + 11*l**4/18 + 17*l**3/9 + 2*l**2 - 13*l - 3. Find r such that p(r) = 0.
-3, -2, -1/2
Suppose 6*y = 5*y. Find o such that 0 - 1/2*o**4 + y*o**3 + 0*o + 1/2*o**2 = 0.
-1, 0, 1
Let y(h) be the third derivative of -1/54*h**4 - 1/270*h**5 + 1/540*h**6 + 0*h**3 + 0 - 2*h**2 + 0*h. Solve y(i) = 0.
-1, 0, 2
Let u(y) be the first derivative of -1/135*y**6 + 2 + 0*y**2 - 1/54*y**4 + 0*y**3 + 3*y - 1/45*y**5. Let t(s) be the first derivative of u(s). Factor t(i).
-2*i**2*(i + 1)**2/9
Let u(m) = 4*m**2 - 5. Let o(v) = v**2 - 10*v + 11. Let y be o(8). Let n(p) = -20*p**2 + 24. Let c(q) = y*n(q) - 24*u(q). Factor c(j).
4*j**2
Suppose -2*l - 146 = -152. Find h such that 0 + 0*h**l + 0*h - 1/4*h**4 + 0*h**2 = 0.
0
Let m(i) be the second derivative of 1/30*i**5 + i + 0 - 1/9*i**3 + 0*i**2 + 0*i**4. Suppose m(o) = 0. What is o?
-1, 0, 1
Let k(j) be the first derivative of j**6/72 + 11*j**5/90 + 7*j**4/18 + 4*j**3/9 + j**2/2 + 3. Let u(n) be the second derivative of k(n). What is h in u(h) = 0?
-2, -2/5
Let q = -26634 - -1731268/65. Let i = q + -9/13. Find y, given that -i*y**2 + 0*y + 0 = 0.
0
Let i = 2901/11 - 263. Factor 2/11 + 12/11*d**2 + i*d**3 + 2/11*d**4 + 8/11*d.
2*(d + 1)**4/11
Let f(z) be the second derivative of z**4/60 - z**3/10 - 2*z**2/5 + 14*z. Factor f(d).
(d - 4)*(d + 1)/5
Let o(t) be the third derivative of -t**8/84 + t**7/42 + 11*t**6/120 - 23*t**5/60 + 13*t**4/24 - t**3/3 - 7*t**2. Factor o(g).
-(g - 1)**3*(g + 2)*(4*g - 1)
Suppose 11*o - 40*o**2 - 8*o - 25*o**3 - 8*o + 10 = 0. Calculate o.
-1, 2/5
Let t(w) be the third derivative of w**6/1800 + w**5/600 + w**3/3 - w**2. Let f(j) be the first derivative of t(j). Factor f(p).
p*(p + 1)/5
Suppose 0 = 13*q + 8*q. Solve q*n + 1/5*n**2 + 0 + 1/5*n**3 = 0.
-1, 0
Suppose 5*r - 25 = -f + 2*f, 4*r = -f + 11. Let 3*t**r + 7/2*t**3 - 3*t**2 + 1/2*t - 4*t**5 + 0 = 0. What is t?
-1, 0, 1/4, 1/2, 1
Let t be (1 - -1) + (-14)/(-7). Factor -9*r - 2*r**2 - r**2 + 0 - 2 - t.
-3*(r + 1)*(r + 2)
Let m(z) be the first derivative of -z**6/2 - 3*z**5/5 + 3*z**4/4 + z**3 + 31. Factor m(c).
-3*c**2*(c - 1)*(c + 1)**2
Let h(z) = 13*z**2 + 2*z + 1. Let d be h(-1). Factor -d*b**3 - 12*b**3 + 4*b + 2*b + 21*b**2 - 3*b**3.
-3*b*(b - 1)*(9*b + 2)
Let o(h) be the third derivative of h**6/900 - h**5/150 - h**3/6 + 2*h**2. Let j(q) be the first derivative of o(q). Find l such that j(l) = 0.
0, 2
Let h(m) be the second derivative of 0*m**4 + 1/105*m**6 + 1/35*m**5 - 2/21*m**3 + 0 - m - 1/7*m**2. Let h(q) = 0. What is q?
-1, 1
Let y = 2 + 2. Suppose -y*t = -4*c + 3 + 5, 5*t = -2*c + 18. Factor 0*v**4 + 2/3*v**3 - 1/3*v**5 + 0 + 0*v**t - 1/3*v.
-v*(v - 1)**2*(v + 1)**2/3
Let o be 68/(-168) + (-1)/(-2). Let i(c) be the first derivative of 0*c - o*c**3 + 1 + 0*c**2. Factor i(k).
-2*k**2/7
Let n(f) be the second derivative of f**5/20 - f**4/12 - f**3/6 + f**2/2 - 10*f. Factor n(q).
(q - 1)**2*(q + 1)
Let l(d) be the third derivative of -d**7/210 - d**6/60 - d**5/60 + d**2. Suppose l(g) = 0. What is g?
-1, 0
Let x = 13 - 11. Find h, given that -4*h**2 - h + 3*h + 2*h**x = 0.
0, 1
Let u(n) be the second derivative of 0*n**3 + 0 + 0*n**2 + n + 1/48*n**4. Solve u(p) = 0.
0
Suppose 3*a = 5*p + 2*a - 10, a + 4 = 2*p. Let o be 18 + -20 - -4*1. Suppose -o - w + w**2 - 3*w**p - 3*w = 0. Calculate w.
-1
Let n(g) be the first derivative of g**4/8 - 3*g**2/4 + 6*g - 7. Let f(y) be the first derivative of n(y). Find t such that f(t) = 0.
-1, 1
Let x(n) be the third derivative of -n**8/2352 + n**7/294 - n**6/140 - n**5/105 + n**4/21 - 41*n**2. Factor x(p).
-p*(p - 2)**3*(p + 1)/7
Let l(c) be the first derivative of -c**6/60 + 3*c**5/40 - c**4/8 + c**3/12 - c - 1. Let i(v) be the first derivative of l(v). Factor i(y).
-y*(y - 1)**3/2
Factor 11*a**4 - 12*a**4 + 16*a + 12*a**2 + 9*a**3 - 36*a**2.
-a*(a - 4)**2*(a - 1)
Let b(g) = 4*g - 95. Let v be b(25). Let -1/3*x**3 - 2/3*x**4 + 0*x + 0*x**2 - 1/3*x**v + 0 = 0. Calculate x.
-1, 0
Suppose 0 = 6*v - v + 15. Let y be (v/2)/(1/(-2)). Let p**y + 3*p - 2*p - 3*p**3 + 0*p**5 + p**5 = 0. What is p?
-1, 0, 1
Let l(x) be the third derivative of x**8/504 + 2*x**7/315 - x**5/45 - x**4/36 - 33*x**2. Factor l(p).
2*p*(p - 1)*(p + 1)**3/3
Suppose -2/3*g + 2/3*g**2 + 0 = 0. What is g?
0, 1
Let k(h) be the second derivative of h**7/63 - 2*h**6/45 + h**4/9 - h**3/9 + 3*h. Solve k(i) = 0.
-1, 0, 1
Let u(n) = -n**4 - n**3 - n - 1. Let i(p) = 4*p**4 - p**3 + 6*p**2 - p + 4. Let d be ((-6)/(-4))/((-2)/(-4)). Let c(y) = d*u(y) + i(y). Factor c(l).
(l - 1)**4
Suppose 3*t - t - 6 = 0. Let j = 21 - 21. Solve 0 + j*s - 2/9*s**t - 2/9*s**2 = 0.
-1, 0
Let s(t) = t**4 - t**3 + t**2 - t. Let p(x) = -20*x**5 + 8*x**4 + 52*x**3 + 12*x**2 + 4*x. Let l(h) = -p(h) - 4*s(h). Solve l(d) = 0.
-1, -2/5, 0, 2
Let b(o) be the third derivative of -o**6/30 - o**5/15 + o**4/3 - 4*o**2. Factor b(n).
-4*n*(n - 1)*(n + 2)
Let a(k) be the third derivative of k**8/2520 + 2*k**7/525 + k**6/100 + 9*k**2. Factor a(i).
2*i**3*(i + 3)**2/15
Let u be (-28)/(-12) + (-1)/3. What is m in -m**4 - 1/2*m + 1/2*m**5 + 0 + 0*m**3 + m**u = 0?
-1, 0, 1
Let x(g) = g**4 - 4*g**4 + 5 - 2*g**3 - 7 + g**2. Let p(h) = -h**3 + h + 1. Let u(z) = -2*p(z) - x(z). Factor u(v).
v*(v + 1)**2*(3*v - 2)
Factor -18/5 + 21/5*m - 3/5*m**2.
-3*(m - 6)*(m - 1)/5
Let r be (527/27 + 1)/(1/12). Determine l, given that 8/9 + 896/9*l**5 + 782/9*l**2 + 128/9*l + 2720/9*l**4 + r*l**3 = 0.
-2, -2/7, -1/4
Let c(n) be the second derivative of -n**9/30240 - n**8/20160 + n**7/15120 - n**4/12 + 2*n. Let b(f) be the third derivative of c(f). Factor b(g).
-g**2*(g + 1)*(3*g - 1)/6
Let v(i) be the first derivative of -i**6/2 + 6*i**5/5 - 2*i**3 + 3*i**2/2 + 12. Determine r so that v(r) = 0.
-1, 0, 1
Let o = 13/2 - 37/6. Factor o + 16/3*l**3 + 11/3*l - 64/3*l**4 + 12*l**2.
-(l - 1)*(4*l + 1)**3/3
Let s(m) = 2*m**3 - 18*m**2 - 22*m + 8. Let v(t) = t**3 - 6*t**2 - 7*t + 3. Let i = -14 - -8. Let x(r) = i*s(r) + 20*v(r). Solve x(a) = 0.
-1, 1, 3/2
Suppose v - 17 = 5*s, -4*v - 1 = s - 6. Suppose 10*y**2 - y + 4*y**2 - 15*y**v = 0. Calculate y.
-1, 0
Let o(d) be the first derivative of -8/15*d**3 - 7/5*d**2 + 4/5*d - 2. Factor o(h).
-2*(h + 2)*(4*h - 1)/5
Let o(i) be the third derivative of i**5/390 - i**4/156 + 3*i**2. Factor o(t).
2*t*(t - 1)/13
Suppose a - 6*a = 0. Let y(f) be the first derivative of 1/5*f**2 + a*f + 1 + 1/15*f**3. Factor y(k).
k*(k + 2)/5
Let w(i) = 31*i**2 - 6*i**3 + 8 - 5*i - 37*i**2 - 2. Let p(k) = -k**3 - k**2 - k + 1. Let g(d) = -33*p(d) + 6*w(d). Factor g(q).
-3*(q - 1)*(q + 1)**2
Let p(k) be the second derivative of -k**5/10 + k**4/2 + 4*k**3/3 + 21*k - 2. Factor p(f).
-2*f*(f - 4)*(f + 1)
Let p(y) be the second derivative of 3/8*y**2 - 6*y + 1/48*y**4 - 1/6*y**3 + 0. Factor p(x).
(x - 3)*(x - 1)/4
Let v(j) be the third der