he second derivative of u + 1/18*u**3 + 0 + 1/36*u**6 - 1/15*u**5 + q*u**4 + 0*u**2. Let x(l) = 0. What is l?
-2/5, 0, 1
Let o(w) be the third derivative of 1/30*w**5 + 1/80*w**6 - 2*w**2 + 0 + 0*w + 0*w**3 - 1/12*w**4. Suppose o(x) = 0. Calculate x.
-2, 0, 2/3
Let y = 9 + -8. Let i(v) = -3*v**2 + 4*v. Suppose 4*x - 1 = 3*x. Let o(n) = -1. Let g(d) = x*i(d) + y*o(d). Solve g(l) = 0.
1/3, 1
Factor 2376*c - 2376*c - 2*c**2.
-2*c**2
Let x(k) be the second derivative of -5*k**4/48 - 5*k**3/12 - 5*k**2/8 + k. Factor x(p).
-5*(p + 1)**2/4
Suppose b - 3*i = 11, 5*i = 2 - 17. Let o(s) be the third derivative of -b*s**2 + 0 + 0*s + 0*s**3 + 1/60*s**4 - 1/150*s**5. Factor o(l).
-2*l*(l - 1)/5
Let q be 6/(-21) + 506/56. Let t = q - 17/2. Let -1/4*w**3 + 1/4*w - t*w**2 + 1/4 = 0. What is w?
-1, 1
Factor 2/3*p**2 + 0 - 2/3*p**3 - 2*p**5 - 10/3*p**4 + 0*p.
-2*p**2*(p + 1)**2*(3*p - 1)/3
Let a(y) be the first derivative of -y**4/6 - 2*y**3/3 + 3*y**2 - 10*y/3 + 24. Factor a(d).
-2*(d - 1)**2*(d + 5)/3
Factor -12*q - 9*q + 2 + 22*q - q**2.
-(q - 2)*(q + 1)
Suppose -13*l + 1 - 1 = 0. Factor -2/11 + l*v + 2/11*v**2.
2*(v - 1)*(v + 1)/11
Let t(x) be the first derivative of 4/5*x + 7/5*x**2 + 2/3*x**3 + 3. Suppose t(h) = 0. What is h?
-1, -2/5
Factor 5*b**4 + 7*b**2 + 4*b**4 - 9*b**2 - 7*b**3.
b**2*(b - 1)*(9*b + 2)
Let z(q) be the first derivative of 6 - 3*q**5 + 0*q + 9/4*q**4 + 2*q**3 + 0*q**2. Factor z(o).
-3*o**2*(o - 1)*(5*o + 2)
Let y(v) = -10*v**3 + 9*v**2 - 5*v + 3. Let c(f) = -f**3 - f + 1. Suppose 0 = -x + 3*x + 10. Let t = 2 + x. Let k(r) = t*c(r) + y(r). Solve k(z) = 0 for z.
0, 2/7, 1
Let i(m) be the third derivative of m**8/1680 + m**7/420 + m**6/360 - 2*m**3/3 - m**2. Let b(p) be the first derivative of i(p). Factor b(v).
v**2*(v + 1)**2
Suppose -8 = -4*c + y, 0 = c + 4*y - 0*y - 2. Let j(q) be the first derivative of 0*q + 1/6*q**c - 1/12*q**4 + 1 + 4/9*q**3 - 4/15*q**5. Factor j(k).
-k*(k - 1)*(k + 1)*(4*k + 1)/3
Let q(j) = 204*j**3 - 308*j**2 - 588*j - 132. Let r(g) = 37*g**3 - 56*g**2 - 107*g - 24. Let b(o) = 5*q(o) - 28*r(o). Determine t, given that b(t) = 0.
-1, -1/4, 3
Determine k, given that 4/3*k**2 - 2/3*k**3 + 26/3*k + 20/3 = 0.
-2, -1, 5
Suppose 25*n**5 + 29*n**5 + 4*n**4 - 58*n**5 = 0. What is n?
0, 1
Let l(i) be the third derivative of -i**5/30 - i**4/4 - 2*i**3/3 + 11*i**2. Factor l(x).
-2*(x + 1)*(x + 2)
Let m(w) = -w - 1. Let p(g) = -g**2 + 10. Let y(i) = -3*m(i) - p(i). Let u be y(-5). Factor -1/3*o + 1/3*o**u + 0*o**2 + 0.
o*(o - 1)*(o + 1)/3
Let u(w) be the first derivative of 5 - 1/2*w**3 + 2/5*w**5 + 1/2*w - 1/2*w**4 + 1/2*w**2. Let u(m) = 0. What is m?
-1/2, 1
Let j(p) be the third derivative of -p**6/160 - p**5/240 + p**4/48 - 15*p**2. Solve j(c) = 0.
-1, 0, 2/3
Let a(v) be the second derivative of -v**7/1260 - v**6/90 - v**5/15 - v**4/6 + 2*v. Let r(g) be the third derivative of a(g). Factor r(i).
-2*(i + 2)**2
Let n(b) be the third derivative of -b**8/6720 - b**7/840 - b**6/240 + b**5/20 + b**2. Let a(p) be the third derivative of n(p). Let a(t) = 0. Calculate t.
-1
Factor 0 + 2/11*n**3 + 2/11*n - 4/11*n**2.
2*n*(n - 1)**2/11
Let f(b) = 2*b**2 - 2*b + 6. Let r(v) = 2*v**2 - v + 5. Let s(w) = -5*f(w) + 6*r(w). Factor s(c).
2*c*(c + 2)
Let w be (-8)/(-198) + 10/55. Let x(m) be the third derivative of -1/180*m**5 - w*m**3 + 1/18*m**4 + 0 + 0*m - 2*m**2. Let x(j) = 0. Calculate j.
2
Let 0 - 1/4*d**2 + 1/2*d = 0. What is d?
0, 2
Let y(p) be the first derivative of -p**7/42 + p**6/15 - p**5/20 - 6*p - 7. Let g(w) be the first derivative of y(w). Factor g(x).
-x**3*(x - 1)**2
Let m(c) be the first derivative of -c**4/3 - 4*c**3/3 - 2*c**2 + 2*c + 5. Let o(s) be the first derivative of m(s). Let o(r) = 0. What is r?
-1
Let p = 72 + -70. Let c(m) be the second derivative of 0 - 1/3*m**3 + 0*m**2 + p*m + 1/20*m**5 - 1/12*m**4. Solve c(s) = 0 for s.
-1, 0, 2
Determine o, given that -77*o**2 + 0*o**3 + 80*o**2 + 1 + o**3 + 3*o = 0.
-1
Factor -30*l**3 - 5*l**5 - 18 - 20*l**2 - 5*l - 20 + 38 - 20*l**4.
-5*l*(l + 1)**4
Let g be (198/(-165))/(9/(-10)). Suppose -12*w**2 - 8*w - g = 0. What is w?
-1/3
Let t(h) be the third derivative of 0*h + 1/3*h**4 + 1/21*h**7 + 0 - 4*h**2 - 1/15*h**6 + 1/3*h**3 - 1/5*h**5. Factor t(w).
2*(w - 1)**2*(w + 1)*(5*w + 1)
Let f(p) = -5*p**2 - p - 4. Let m(x) = 14*x**2 + 2*x + 11. Let v(s) = 11*f(s) + 4*m(s). Factor v(b).
b*(b - 3)
Let u be (-30)/50 - (-4 - -3). Suppose -2/5 - 4/5*m - u*m**2 = 0. Calculate m.
-1
Let w(r) be the first derivative of -r**4/42 - 2*r**3/21 + 3*r**2/7 - r + 8. Let b(l) be the first derivative of w(l). Solve b(d) = 0.
-3, 1
Let m(n) be the second derivative of -2*n + 8/9*n**3 + 0 + 4/9*n**4 + 0*n**2 + 1/15*n**5. Suppose m(w) = 0. Calculate w.
-2, 0
Let n = -2 - -4. Suppose 0 = r - n*r + 5. Suppose 4*t**r - 8*t**2 + 1 - 5*t**3 - t**3 + 4*t**3 + 7*t**4 - 2*t = 0. Calculate t.
-1, 1/4, 1
Let l(o) be the third derivative of o**7/525 + o**6/75 + o**5/50 - o**4/15 - 4*o**3/15 - 2*o**2. Suppose l(n) = 0. What is n?
-2, -1, 1
Let q(k) be the second derivative of k**7/21 + 2*k**6/15 - k**5/5 - 2*k**4/3 + k**3/3 + 2*k**2 - 2*k. What is j in q(j) = 0?
-2, -1, 1
Let x(q) be the first derivative of -q**3/12 + q**2/2 - q + 5. Factor x(r).
-(r - 2)**2/4
Let l(i) be the second derivative of -i**8/6720 + i**7/2520 - i**4/4 + 3*i. Let n(v) be the third derivative of l(v). Factor n(s).
-s**2*(s - 1)
Let v(x) be the third derivative of -x**6/300 - x**5/150 + x**4/15 + 4*x**3/15 + 18*x**2. Factor v(y).
-2*(y - 2)*(y + 1)*(y + 2)/5
Let j(r) be the second derivative of r**6/1260 + r**5/105 + r**4/21 - r**3/2 + 2*r. Let a(k) be the second derivative of j(k). Factor a(c).
2*(c + 2)**2/7
Let h = -11 - -19. Let l be 4 - (h - 2) - -4. Factor 4/9*u**2 + l*u**3 + 10/9*u**5 + 0 + 8/3*u**4 + 0*u.
2*u**2*(u + 1)**2*(5*u + 2)/9
Let s = 14/13 - 155/156. Let d(p) be the third derivative of -2*p**2 + 0 + 0*p + 1/60*p**6 + s*p**5 + 0*p**3 - 1/12*p**4 - 1/42*p**7. Solve d(m) = 0.
-1, 0, 2/5, 1
Suppose 5*n + 10 = 0, -c + 5*c - 4*n - 32 = 0. Let u be (0 - -1)*c/10. Find o such that u*o - 1/5*o**4 + 2/5 - 3/5*o**3 - 1/5*o**2 = 0.
-2, -1, 1
Let y(b) be the third derivative of -b**6/1320 - b**5/110 - 3*b**4/88 - 2*b**3/33 - b**2 - 27. Factor y(c).
-(c + 1)**2*(c + 4)/11
Let r(y) be the first derivative of 7*y**5/20 + 3*y**4/4 + y**3/3 + y + 4. Let f(i) be the first derivative of r(i). Factor f(m).
m*(m + 1)*(7*m + 2)
Let p(k) = -7*k**3 - 5*k**2. Let l(i) = -10*i**3 - 8*i**2. Let r(b) = 5*l(b) - 7*p(b). Suppose r(q) = 0. Calculate q.
-5, 0
Suppose 6*a - 4*a - 6 = 0. Let w(v) be the third derivative of -1/150*v**5 - 1/300*v**6 + 0*v + 1/15*v**a + 2*v**2 + 1/60*v**4 + 0. Factor w(n).
-2*(n - 1)*(n + 1)**2/5
Let r(d) = 2*d**4 + d**2 + d. Let b(n) = -8*n**4 - 8*n**3 + 3*n**2 - 5*n. Let w(l) = b(l) + 5*r(l). Suppose w(x) = 0. Calculate x.
0, 2
Let b(o) be the first derivative of -o**7/70 + 3*o**5/20 + o**4/4 - 5*o**2/2 + 1. Let u(x) be the second derivative of b(x). Factor u(q).
-3*q*(q - 2)*(q + 1)**2
Factor 6*a + 4*a**3 + 4*a**2 + 3*a - 4 - 13*a.
4*(a - 1)*(a + 1)**2
Let f(n) be the second derivative of 0 + 2*n - 1/15*n**4 + 1/15*n**3 - 1/50*n**5 + 2/5*n**2. Factor f(b).
-2*(b - 1)*(b + 1)*(b + 2)/5
Let v(w) be the first derivative of w**4/8 - w**3/6 + 4. Factor v(s).
s**2*(s - 1)/2
Let o = 7/30 - -4/15. Let f = -33 - -71/2. What is a in o + f*a**2 + 2*a + a**3 = 0?
-1, -1/2
Suppose 15 = 2*j - 3*j - 3*y, -4*y - 20 = 0. Let k be (j - 0)/(2 - 0). Factor b**2 + k*b - 3 + 7 - 4*b.
(b - 2)**2
Let s(g) be the first derivative of 32/21*g**3 - 4/7*g**4 + 6 + 1/21*g**6 - 4/35*g**5 + 16/7*g**2 - 64/7*g. Factor s(i).
2*(i - 2)**3*(i + 2)**2/7
Let w(v) = v**2 + 8*v - 7. Let x be w(-9). Let o = 54 - 161/3. Find a such that o*a**x - 1/3*a + 0 = 0.
0, 1
Let i be (-2 + 4)/((-20)/(-6)). Let q = 229/560 + -1/112. Factor i*r - 1/5*r**3 + q + 0*r**2.
-(r - 2)*(r + 1)**2/5
Let r(l) be the third derivative of -l**7/3360 - l**6/720 + l**5/480 + l**4/48 - 5*l**3/6 + 3*l**2. Let o(m) be the first derivative of r(m). Factor o(k).
-(k - 1)*(k + 1)*(k + 2)/4
Let s be 6/5 - (-2)/(-5). Determine q so that -2/5 - s*q**3 + 4/5*q + 0*q**2 + 2/5*q**4 = 0.
-1, 1
Let v(j) be the second derivative of 5*j**4/12 + 5*j**3/6 + 24*j. What is t in v(t) = 0?
-1, 0
Let