l). Factor t(c).
(c - 1)*(c + 1)/6
Let x(f) be the second derivative of -3*f - 1/21*f**7 + 0*f**4 + 0*f**6 + 1/10*f**5 + 0*f**2 + 0 + 0*f**3. Let x(n) = 0. What is n?
-1, 0, 1
Let j(q) be the third derivative of 11*q**5/480 - 3*q**4/64 - q**3/24 + 54*q**2. What is l in j(l) = 0?
-2/11, 1
Let b = 37/3 + -11. Factor 0 - 10/3*q**2 - b*q**3 + 2*q.
-2*q*(q + 3)*(2*q - 1)/3
Let q = -2716/3 + 906. Solve q + 2/3*w**3 - 2/3*w - 2/3*w**2 = 0.
-1, 1
Find s, given that -2/23*s**3 - 510/23*s + 62/23*s**2 + 450/23 = 0.
1, 15
Suppose 4*k + 7 = 5*o - 0, k - 2*o + 4 = 0. Factor 1/3*p**3 + 0 + 1/3*p + 2/3*p**k.
p*(p + 1)**2/3
Suppose -25 = 2*w - 7. Let o = 9 + w. Factor -1/2*g**2 + o*g**3 + 0 + 0*g + 1/2*g**4.
g**2*(g - 1)*(g + 1)/2
Let j(u) be the first derivative of 0*u + 1 - 1/4*u**2 - 1/12*u**6 - 2/3*u**3 - 2/5*u**5 - 3/4*u**4. Determine n, given that j(n) = 0.
-1, 0
Let n(b) = -b**2 + 4*b + 7. Let r be n(5). Factor 0 + 8*l**r + 0 - 3*l**3 + 4*l**2.
-3*l**2*(l - 4)
Let i(v) be the third derivative of -13*v**5/45 + 17*v**4/36 - 2*v**3/9 - 3*v**2. Solve i(x) = 0.
2/13, 1/2
Let y be (-2 - 36/(-15))/(12/15). Factor -y*j**3 + 0 + 0*j - 1/2*j**2.
-j**2*(j + 1)/2
Suppose -10 = -g - 5*c, -3*g = 2*g - 5*c - 20. Let i(m) = m**3 - 4*m**2 - 6*m + 7. Let x be i(g). Determine z, given that z**2 - 6 - 2 + 0 - 8*z - 3*z**x = 0.
-2
Factor -50/13*n**3 - 40/13*n**2 - 8/13*n + 0.
-2*n*(5*n + 2)**2/13
Let s(f) be the third derivative of -f**5/15 - f**4/3 + 16*f**3/3 - 64*f**2. Find z such that s(z) = 0.
-4, 2
Let l(s) be the third derivative of s**6/540 + s**5/90 + s**4/54 - 6*s**2. Factor l(j).
2*j*(j + 1)*(j + 2)/9
Let p(o) be the first derivative of -o**6/180 + o**5/100 + o**4/30 - o**3/3 + 8. Let x(z) be the third derivative of p(z). Determine v, given that x(v) = 0.
-2/5, 1
Let u(j) be the first derivative of -j**5/5 + j**4/4 + j**3 - 5*j**2/2 + 2*j - 2. What is m in u(m) = 0?
-2, 1
Let p = -17 - -55/3. Let k be (-4)/10 + 0 - 2668/(-345). Factor -k*z**2 + 0 - 32/3*z**3 - p*z - 14/3*z**4.
-2*z*(z + 1)**2*(7*z + 2)/3
Let a(x) be the third derivative of -x**9/30240 - x**8/13440 - x**4/8 + 6*x**2. Let u(i) be the second derivative of a(i). Suppose u(q) = 0. What is q?
-1, 0
Suppose -y**2 + 3*y**3 + y**3 - 7*y**2 = 0. Calculate y.
0, 2
Let h = 18 + -14. Factor 0 + 6/5*s**5 + 0*s**2 - 4/5*s**3 + 0*s - 2/5*s**h.
2*s**3*(s - 1)*(3*s + 2)/5
Let k(w) be the third derivative of -w**9/30240 - w**5/60 + 3*w**2. Let n(v) be the third derivative of k(v). Factor n(r).
-2*r**3
Let v(x) be the first derivative of x**3 - 12*x - 11. What is j in v(j) = 0?
-2, 2
Suppose y - 2 = 1. Factor 2 - 4*g**y + g + 3*g + 4*g**4 - 2*g**4 - 4.
2*(g - 1)**3*(g + 1)
Let z(t) be the third derivative of 0*t + 5*t**2 + 0 + 0*t**3 + 1/30*t**4 - 7/150*t**5. Determine s so that z(s) = 0.
0, 2/7
Let g(u) = 12*u**3 - 12*u**2 - 21*u. Let m(y) = -3*y**3 + 3*y**2 + 5*y. Let x(f) = 5*g(f) + 21*m(f). What is c in x(c) = 0?
0, 1
Let u be (-9)/(-18)*1*(-2)/(-3). Let o(w) be the first derivative of -1/6*w**6 + 1 + 0*w**2 + u*w**3 - 3/4*w**4 + 0*w + 3/5*w**5. Factor o(m).
-m**2*(m - 1)**3
Let d(j) be the second derivative of -j**5/30 - j**4/9 - j**3/9 + 3*j. Determine k, given that d(k) = 0.
-1, 0
Factor -2*s**3 - 15*s**2 - 2*s + 12*s**2 + s**3.
-s*(s + 1)*(s + 2)
Let q(f) = 3*f**2 - 36*f + 291. Let l(c) = -c**2 + c - 1. Let i(s) = -6*l(s) - 3*q(s). Factor i(x).
-3*(x - 17)**2
Let v = -7 - -7. Let f be (-13)/5 - (v - 3). Determine d, given that 2/5*d**2 + 0*d + 6/5*d**4 + 0 + f*d**5 + 6/5*d**3 = 0.
-1, 0
Let z(q) be the second derivative of -q**8/16800 + q**7/6300 + q**6/1800 - q**5/300 - q**4/4 - q. Let n(u) be the third derivative of z(u). Factor n(b).
-2*(b - 1)**2*(b + 1)/5
Suppose -4*c + 3*c + p + 2 = 0, 0 = 4*c - p - 5. Let q be (c*(-4 + 4))/1. Factor q - 3*g - 3/2*g**2.
-3*g*(g + 2)/2
Let s = -3266 - -13001/4. Let h = s - -16. Determine o so that 1/4*o**2 - h*o + 0 = 0.
0, 1
Let v be (-5 - 76/(-16))*-1. Factor 0*r - v*r**2 + 1.
-(r - 2)*(r + 2)/4
Let h = 12 - 19. Let z = h - -11. Solve 0 - 1/4*i**3 + 1/4*i**z + 1/4*i - 1/4*i**2 = 0 for i.
-1, 0, 1
Let z(m) be the third derivative of 0 + 1/3*m**3 + 1/180*m**6 + 1/48*m**4 - 1/48*m**5 - 4*m**2 + 0*m. Let v(o) be the first derivative of z(o). Factor v(x).
(x - 1)*(4*x - 1)/2
Let x = -391/35 - -81/7. Factor -x*u**3 + 2/5*u + 2/5*u**2 - 2/5.
-2*(u - 1)**2*(u + 1)/5
Let x(g) be the first derivative of 1/3*g**2 - 2 + 1/6*g**4 + 0*g + 4/9*g**3. Find h, given that x(h) = 0.
-1, 0
Suppose 3*m - 2*m = 2*d - 14, -15 = 3*m + 3*d. Let t = m + 8. Let 1/2*j + t + 1/2*j**2 = 0. Calculate j.
-1, 0
Let h(z) be the second derivative of 1/6*z**4 + 0*z**3 + 0*z**5 - 2*z + 0 - 1/15*z**6 + 0*z**2. Find c, given that h(c) = 0.
-1, 0, 1
Let x(b) = b**2. Suppose 0 = -p - 0*p + 3. Let u be x(p). Solve -3*q**5 - 3*q**3 + 4*q**2 + 3*q + 5*q**2 + 0*q**5 - u*q**4 + 3*q = 0.
-2, -1, 0, 1
Determine i so that 0 - 8/5*i + 28/5*i**3 - 4*i**2 = 0.
-2/7, 0, 1
Let t be 0/(-2)*(-2)/(-4). Suppose -17/2*o**4 + t - 5/2*o**5 - 11/2*o**2 - o - 21/2*o**3 = 0. Calculate o.
-1, -2/5, 0
Let g(b) be the third derivative of 1/9*b**3 + 0*b - 1/180*b**6 - 1/90*b**5 + b**2 + 1/36*b**4 + 0. Solve g(p) = 0.
-1, 1
Let r(k) be the third derivative of 5*k**2 + 2/15*k**3 + 2/75*k**5 - 1/12*k**4 + 0 + 0*k - 1/300*k**6. Determine s so that r(s) = 0.
1, 2
What is l in 0*l**2 + 0*l - 10/7*l**4 + 0 + 2*l**5 - 4/7*l**3 = 0?
-2/7, 0, 1
Let a(y) = -2*y**2 + 35*y + 20. Let l be a(18). Find i, given that -1/3*i + 1/3*i**l + 0 = 0.
0, 1
Factor 1/2*d**4 + 0 + 0*d + 0*d**2 - 1/2*d**3.
d**3*(d - 1)/2
Let y(n) be the first derivative of -n**4/18 - 2*n**3/27 + 2*n**2/9 + 4. Find x, given that y(x) = 0.
-2, 0, 1
Let y = -66 + 111. Let x be (-3)/(-12) + y/12. Solve -o**x + o - 4*o**2 + 3*o**3 + 0*o**2 + o**2 = 0 for o.
0, 1
Let p be (-4)/20*0*(-2)/4. Let y(z) be the second derivative of 1/3*z**3 + p*z**4 - 1/10*z**5 + 0*z**2 - 3*z + 0. Factor y(g).
-2*g*(g - 1)*(g + 1)
Let j be ((-1)/(-6))/((-2)/6)*0. Factor 1/2*s**2 + j + s.
s*(s + 2)/2
Find k, given that -2*k**2 + 0 + 1/2*k**4 - 3/2*k**3 + 0*k = 0.
-1, 0, 4
Suppose y = 3*v - 6, 3*y + 7 = 5*v - 3. Factor y + 5/3*s**3 + 0*s - 4/3*s**4 - 1/3*s**2.
-s**2*(s - 1)*(4*s - 1)/3
Suppose 8*j = 2*z + 3*j - 9, 4*z = 3*j + 11. Suppose 0 = 2*u - z*p, 3*u + u - 5*p + 2 = 0. Factor 2/3*x**u - 8/3*x + 8/3.
2*(x - 2)**2/3
Let r(a) be the first derivative of a**5/15 + 7*a**4/12 + 2*a**3 + 10*a**2/3 + 8*a/3 + 7. Determine z so that r(z) = 0.
-2, -1
Let k(u) = -10*u**5 + 29*u**4 - 7*u**3 - 31*u**2 + 6*u + 13. Let p(g) = -g**4 + g**3 + g**2 - 1. Let f(z) = -2*k(z) - 22*p(z). Factor f(h).
4*(h - 1)**3*(h + 1)*(5*h + 1)
Let l be ((180/(-16))/(-3))/((-9)/(-12)). Let 1/3 - h**4 + 1/3*h**l - h + 2/3*h**3 + 2/3*h**2 = 0. Calculate h.
-1, 1
Let q be 0*(0 + 1)/(-1). Solve q*f + f**2 - 7/2*f**3 + 0 + 5/2*f**4 = 0 for f.
0, 2/5, 1
Let q be ((-2)/(-6))/1 + 0/14. Let -1/3*l**2 - q - 2/3*l = 0. Calculate l.
-1
Let l(u) be the third derivative of 0 + 0*u - 11/12*u**4 - 7/15*u**5 - 2/3*u**3 + u**2. Factor l(y).
-2*(2*y + 1)*(7*y + 2)
Let p(q) be the first derivative of -q**5/20 - q**4/8 - q**3/12 - 7. Factor p(z).
-z**2*(z + 1)**2/4
Let m(z) = 3*z**4 - 2*z**3 - 4*z**2 - 6*z + 5. Let n(k) = 7*k**4 - 5*k**3 - 9*k**2 - 13*k + 11. Let a(r) = 9*m(r) - 4*n(r). Factor a(v).
-(v - 1)**3*(v + 1)
Let r be 0*(3 + 32/(-12)). Let q(i) be the second derivative of 1/3*i**3 + r + 1/6*i**4 + 2*i + 0*i**2. Factor q(h).
2*h*(h + 1)
Let b be 3/6*11/22. Factor 0 + 1/4*f**3 + 1/4*f**4 - b*f - 1/4*f**2.
f*(f - 1)*(f + 1)**2/4
Let n(o) = 5*o**2 - 8*o + 5. Let d(u) be the second derivative of -u**4/3 + 4*u**3/3 - 3*u**2 + 5*u. Let s(j) = -3*d(j) - 2*n(j). Suppose s(t) = 0. What is t?
2
Let f(v) be the second derivative of -v**5/20 + v**4/6 + 20*v. Factor f(u).
-u**2*(u - 2)
Let i(a) be the second derivative of a**4/9 + 2*a**3/9 - 4*a**2/3 - 21*a. What is d in i(d) = 0?
-2, 1
Let m(d) be the first derivative of -1/8*d**4 + 2*d + 1/40*d**5 + 0*d**3 + d**2 + 1. Let y(o) be the first derivative of m(o). Determine u so that y(u) = 0.
-1, 2
Let z be -1 + (1053/(-63))/(-3). Solve -8/7*d**3 - 24/7*d**2 - z*d - 16/7 - 1/7*d**4 = 0.
-2
Let g = 85 + -83. Let h(a) be the first derivative of -4/21*a**3 + 8/7*a**5 + 0*a**g - a**6 + 0*a + 3 + 3/14*a**4. Find f, giv