/180 + s**4/6 + 2*s**3/9 - 2*s**2 + 1. Let o(l) be the second derivative of h(l). Let o(a) = 0. What is a?
-2/7, 2
Let c(l) be the first derivative of 0*l**3 + 0*l**2 - 1/15*l**6 + 0*l - 4/25*l**5 - 1/10*l**4 + 3. Factor c(z).
-2*z**3*(z + 1)**2/5
Let a(x) = -x**3 - 11*x**2 - 8*x + 12. Let p be a(-10). Let r = -6 - p. Factor 0*v**r - 2*v**2 + v**2.
-v**2
Suppose 0*a = -2*a - 8, 0 = m - a. Let r be m/(-14) - 2/(-42). Solve h**3 + 0 - 1/3*h**5 - r*h**2 - 2/3*h + 1/3*h**4 = 0.
-1, 0, 1, 2
Let a(x) = -x. Let r(d) = -3*d**2 + 15*d + 24. Let k(z) = 6*a(z) - r(z). Factor k(j).
3*(j - 8)*(j + 1)
Let n(o) = o**2 + 4*o + 3. Let p be n(-4). Let l be 3/((-18)/(-340)) - (-18)/(-27). Factor -9*x**3 - l*x + 5 + 11 + 44*x**2 - 2*x**p + x**3.
-2*(x - 2)**2*(5*x - 2)
Let v(o) be the third derivative of o**8/10080 - o**6/360 - o**5/12 - 3*o**2. Let a(k) be the third derivative of v(k). Factor a(f).
2*(f - 1)*(f + 1)
Let p be (0 + 0)*6/(-6). Let f(a) be the first derivative of -3 + 0*a**2 + 0*a + 1/24*a**4 + p*a**3. Let f(w) = 0. What is w?
0
Let u(v) be the second derivative of v**8/7560 - v**6/540 - v**5/270 + v**3 + 2*v. Let y(n) be the second derivative of u(n). Suppose y(h) = 0. What is h?
-1, 0, 2
Suppose 0 = 13*m - 32 - 7. Let t(s) be the second derivative of 0*s**4 + 1/40*s**5 + 0*s**2 - 1/120*s**6 + 0*s**m - s + 0. What is w in t(w) = 0?
0, 2
Let p = 5 + -6. Let c be -5 - p - -2 - -4. Factor 0 + 1/2*j**c + 0*j.
j**2/2
Let r = -720 + 5178/7. Find t, given that r*t**3 + 8*t**2 + 8/7*t + 20*t**4 + 50/7*t**5 + 0 = 0.
-1, -2/5, 0
Suppose 3*m + 13 = 4*p, 0*m - 3*m - 6 = -3*p. Let l = p - 4. Solve g**4 + 2*g**4 - 5*g**l + 3*g**3 = 0.
0, 2/3
Let -1/6 + 0*h + 1/3*h**3 + 1/2*h**2 = 0. Calculate h.
-1, 1/2
What is s in -s**3 + 16*s**2 + 14*s**2 - 42*s**2 - 64 - 48*s = 0?
-4
Let g(l) be the second derivative of -19/40*l**5 + 8*l - 1/4*l**6 + 5/24*l**4 + 7/12*l**3 + 0 - 1/2*l**2. Solve g(c) = 0 for c.
-1, 1/3, 2/5
Let d be (-4 + 3)*(-1)/2*1. Factor -1/2*u**2 - u**3 + 0 + d*u.
-u*(u + 1)*(2*u - 1)/2
Let n(p) be the second derivative of -p**6/6 - p**5/2 + 5*p**3/3 + 5*p**2/2 + 23*p. Let n(s) = 0. What is s?
-1, 1
Let n(p) be the first derivative of -4/11*p**3 - 2/55*p**5 - 5 + 4/11*p**2 + 2/11*p**4 - 2/11*p. Suppose n(h) = 0. What is h?
1
Let h(a) be the second derivative of -a**5/4 - 5*a**4/2 - 10*a**3 - 20*a**2 + 39*a. Let h(f) = 0. What is f?
-2
Factor 341*a**2 - 345*a**2 - a**3 - 5*a - 1 - 1.
-(a + 1)**2*(a + 2)
Suppose 5*c + 4 + 12 = -3*l, -5*l - 3*c = 0. Let h(p) be the first derivative of 2/3*p**2 - 3 - 2/9*p**l + 0*p. Suppose h(d) = 0. Calculate d.
0, 2
Find q, given that 10/3*q**4 - 5/3*q**3 + 0*q + 0*q**2 + 0 - 5/3*q**5 = 0.
0, 1
Let u = -3 - -5. Suppose 3*c - 6 = -u*b, 2*c + 5*b - 2 = c. Factor 3*d**3 + 10*d**4 - 6*d**4 - 5*d**3 - c*d**5.
-2*d**3*(d - 1)**2
Let k(o) = o**3 + 6*o**2 + o + 8. Let n be k(-6). Factor -2*p**4 + 3*p - 3*p + 2*p**2 - 4*p**3 - 4*p**n.
-2*p**2*(p + 1)**2
Suppose -60 = -4*j - j. Factor 11*d**3 + 5*d**2 - 2*d**2 + 3*d + j*d**2 + d**3.
3*d*(d + 1)*(4*d + 1)
Let a(o) be the first derivative of -2*o**3/3 + o**2 + 4*o - 20. Find n, given that a(n) = 0.
-1, 2
Suppose -5 = 5*n + 3*a, -4*n - 4*a - 10 = n. Factor 2/13*m**n + 0 - 2/13*m.
2*m*(m - 1)/13
Let w = -137 + 141. Let n(r) be the third derivative of w*r**2 - 1/80*r**5 - 1/6*r**3 + 0*r + 0 - 1/12*r**4. Factor n(a).
-(a + 2)*(3*a + 2)/4
Let y be (-2)/(-5) + (-1228)/1320. Let z = -1/33 - y. Suppose -z*g + 0 - 1/4*g**2 = 0. Calculate g.
-2, 0
Let w be 3/(-3 + 2 - 33/(-6)). Let i(q) be the second derivative of 0 - w*q**3 - q**2 - 1/6*q**4 + q. Factor i(p).
-2*(p + 1)**2
Let h = 10 + -7. Let u(b) = -9*b**2 - 7*b - 1. Let x(n) = 10*n**2 + 8*n + 2. Let j(k) = h*x(k) + 4*u(k). Find v, given that j(v) = 0.
-1, 1/3
Let g(h) be the third derivative of -h**8/1680 + h**7/350 - h**6/200 + h**5/300 + 3*h**2. Factor g(r).
-r**2*(r - 1)**3/5
Let c(s) be the second derivative of -7*s**5/120 - 5*s**4/72 + s**3/18 - 12*s. Solve c(o) = 0.
-1, 0, 2/7
Factor -s**2 + 0 + 1/5*s**3 + 4/5*s.
s*(s - 4)*(s - 1)/5
Let q(i) be the third derivative of 0 + 6*i**2 - 1/150*i**5 - 1/5*i**3 + 0*i + 1/15*i**4. Factor q(b).
-2*(b - 3)*(b - 1)/5
Let g be (6/(-3))/((-1)/3). Factor -h**3 + g + h - 3 + h**4 - h**2 - 3.
h*(h - 1)**2*(h + 1)
Let h(d) be the first derivative of d**6/21 - 2*d**5/5 + 9*d**4/7 - 40*d**3/21 + 8*d**2/7 - 6. Solve h(f) = 0.
0, 1, 2
Let t = 10 - 6. Let c(k) = -26*k**3 - 42*k**2 + 4*k + 4. Let g(r) = 27*r**3 + 41*r**2 - 3*r - 5. Let m(j) = t*g(j) + 3*c(j). Let m(i) = 0. Calculate i.
-1, -2/3, 2/5
Let g(o) be the second derivative of -o**6/40 + 7*o**5/60 - 5*o**4/24 + o**3/6 + o**2 + o. Let d(x) be the first derivative of g(x). Factor d(t).
-(t - 1)**2*(3*t - 1)
Let 0 - 3/5*p**5 + 3/5*p + 0*p**3 + 6/5*p**2 - 6/5*p**4 = 0. What is p?
-1, 0, 1
Let c(m) = 31*m**5 - 61*m**4 + 19*m**3 + 7*m**2 + 7*m. Let t(x) = 21*x**5 - 41*x**4 + 13*x**3 + 5*x**2 + 5*x. Let r(l) = -5*c(l) + 7*t(l). Solve r(q) = 0.
0, 1/4, 2
Let t(z) be the third derivative of z**6/240 + z**5/40 + z**4/24 - 21*z**2. Factor t(h).
h*(h + 1)*(h + 2)/2
Let l = 18 + -20. Let h be ((2 - 3) + 0)/l. Factor -1/2*r**2 + 0*r + h.
-(r - 1)*(r + 1)/2
Let k(s) be the first derivative of 1 + 0*s + 1/6*s**4 - 1/6*s**2 + 1/9*s**3. Determine u so that k(u) = 0.
-1, 0, 1/2
Let r be -2 - (-6 - (3 + -1 + -4)). Let 39/2*n**r + 0 + 30*n**3 + 3*n + 27/2*n**4 = 0. Calculate n.
-1, -2/9, 0
Solve 68*r**4 + 24*r**2 - 21*r**3 - 12*r**5 - 12*r**4 - 47*r**3 = 0 for r.
0, 2/3, 1, 3
Let k(l) = -l**2 - 5*l - 5. Let x be k(-2). Let y(c) be the first derivative of c**2 - x + c**4 - 10/3*c**3 + 4*c. Factor y(d).
2*(d - 2)*(d - 1)*(2*d + 1)
Let s(a) = 5*a**4 - 5*a**3. Let k(c) = 3*c**4 - 2*c**3. Let z(w) = 7*k(w) - 4*s(w). Factor z(d).
d**3*(d + 6)
Let r(d) = d**2 - 6*d + 8. Let v be r(4). Let o(a) be the first derivative of v*a**2 + 1/6*a**3 - 1/2*a + 4. Find q such that o(q) = 0.
-1, 1
Let k = -34 + 37. Let h(y) be the third derivative of 2/3*y**k + 1/6*y**4 + 1/60*y**5 + 0*y + 3*y**2 + 0. Factor h(g).
(g + 2)**2
Let p(n) be the second derivative of -4*n - 3*n**4 - 8/3*n**3 + 0*n**5 - n**2 + 9/5*n**6 + 0. Factor p(c).
2*(c - 1)*(3*c + 1)**3
Let u(m) be the first derivative of m**6/150 - m**5/25 + m**4/20 + 2*m**3/15 - 2*m**2/5 + m + 5. Let x(b) be the first derivative of u(b). Solve x(q) = 0.
-1, 1, 2
Let h(t) = -t**3 + 16*t**2 + 17*t + 2. Let c be h(17). Factor 2/7*p + 2/7 - 2/7*p**c - 2/7*p**3.
-2*(p - 1)*(p + 1)**2/7
Let c(d) = -16*d**3 - 8 + 21*d**2 - 1 - 2 - 16*d. Let w(z) = -3*z**3 + 4*z**2 - 3*z - 2. Let h = -5 + -6. Let a(l) = h*w(l) + 2*c(l). Factor a(u).
u*(u - 1)**2
Let x(m) be the third derivative of m**5/360 + 40*m**2. Determine i so that x(i) = 0.
0
Let h be 3*(2/(-7))/(168/(-49)). Factor -1/4*c**2 - 1/4*c**3 + 1/4*c**4 + 0 + h*c.
c*(c - 1)**2*(c + 1)/4
What is l in 4*l**2 + 8/3*l**3 + 2/3*l**4 + 2/3 + 8/3*l = 0?
-1
Let 32/3*y - 8*y**3 - 76/3*y**4 + 28/3*y**5 + 112/3*y**2 + 0 = 0. What is y?
-1, -2/7, 0, 2
Suppose -18 = -5*u - 3. Factor 3/4 - 3/4*n**u + 9/4*n**2 - 9/4*n.
-3*(n - 1)**3/4
Let z(d) be the first derivative of -d**4/16 + d**3/12 - 7. Factor z(x).
-x**2*(x - 1)/4
Suppose -9*w + 24 = -5*w. Suppose 20 = w*h - h. Suppose 2/3*m + 0 + 2/3*m**h - 2/3*m**2 - 2/3*m**3 = 0. What is m?
-1, 0, 1
Let b(m) be the first derivative of -3/2*m**2 + 6*m - 4*m**3 + 5 + 9/4*m**4. Solve b(t) = 0 for t.
-2/3, 1
Let p be (-2)/4 + 15/6. Solve 1 - j**2 - 8*j - 7 - p - 8 = 0 for j.
-4
Let r(o) be the second derivative of -o**4/3 + 8*o**3/3 - 8*o**2 + 2*o. Suppose r(z) = 0. What is z?
2
Let x(i) be the third derivative of -i**6/40 + i**5/60 + i**4/12 + 5*i**2. Find s such that x(s) = 0.
-2/3, 0, 1
Suppose 17 = 3*s + 2. Factor -2/7*l**s + 2/7*l**4 + 2/7*l**3 - 2/7*l**2 + 0 + 0*l.
-2*l**2*(l - 1)**2*(l + 1)/7
Let b be 4/32*-6*(-5 + 1). Let u(z) be the first derivative of -1/14*z**4 + 0*z**2 + 0*z**b + 0*z - 1/35*z**5 + 2. What is q in u(q) = 0?
-2, 0
Let b = 19 - 15. Let -1/3*y**b + 0*y**2 + 0*y + 1/3*y**3 + 0 = 0. Calculate y.
0, 1
Suppose 5/2 + 2*j**2 - 19/4*j + 1/4*j**3 = 0. Calculate j.
-10, 1
Let w be (-9)/15 + (-223)/(-5). Let f be -12*(w/(-42) - -1). Let 2*t**2 + 6/7*t**3 + f*t - 2*t**4 - 10/7*t**5 + 0 = 0. What is t?
-1, -2/5, 0, 1
Let d(r) = 9*r**4 + 3*r**3 + 3*r**2 + 9*r