rst derivative of -1/16*l**j - 3 - 5/8*l**2 + 1/3*l**3 + 1/2*l. Factor a(g).
-(g - 2)*(g - 1)**2/4
Let v(l) be the third derivative of 1/120*l**6 - 1/12*l**5 + 0 + 7/24*l**4 - 1/2*l**3 + 0*l - 2*l**2. Factor v(n).
(n - 3)*(n - 1)**2
Let w be 45/(-105) - (-171)/105. Suppose 2/5*q**2 + 0*q - 6/5*q**3 - 2/5*q**5 + 0 + w*q**4 = 0. What is q?
0, 1
Let a(c) = -c**3 - 6*c**2 - 7*c - 5. Let v be a(-5). Let -24*r - 16 - 58*r**v + 8*r**5 + 158*r**3 + 100*r**2 + 0*r**5 = 0. Calculate r.
-1, -2/5, 2/5, 2
Let y be 1*1/(-2)*(15 - 15). Solve 2/7*h**5 - 4/7*h**4 + 2/7*h**3 + y*h + 0 + 0*h**2 = 0.
0, 1
Let d(s) = -6*s**5 + 26*s**4 - 38*s**3 + 14*s**2 + 2. Let n(f) = -6*f**5 + 25*f**4 - 37*f**3 + 13*f**2 + 3. Let k(a) = 3*d(a) - 2*n(a). Factor k(l).
-2*l**2*(l - 2)**2*(3*l - 2)
Suppose -i - 15 = -6*i. Let b(a) be the second derivative of 0*a**4 + 0*a**2 + 0 + 0*a**i + 1/10*a**5 + a - 1/15*a**6. Determine n so that b(n) = 0.
0, 1
Let s = -17/11 - -113/66. Factor -1/6*m**2 - 1/6*m + 1/6*m**3 + s.
(m - 1)**2*(m + 1)/6
Let l(t) be the third derivative of 0 + 0*t**3 + 1/6*t**4 + 0*t - t**2 + 1/30*t**5. Factor l(v).
2*v*(v + 2)
Let f = 8 - 17. Let q be (-3)/2*24/f. Factor -9*t**3 - 4*t**4 - t**3 + 18*t**2 - 14*t + 6*t**4 + q.
2*(t - 2)*(t - 1)**3
Suppose 12*f**2 + 24*f + 264 - 248 + 3*f**3 - f**3 = 0. Calculate f.
-2
Factor 0 - 3/5*a + 3/5*a**2.
3*a*(a - 1)/5
Let -16*c**3 + 30*c + 2*c**4 + 6*c**3 + 9 + 36*c**2 + c**4 + 28*c**3 = 0. What is c?
-3, -1
Factor -1/7*w**2 - 1/7*w + 2/7.
-(w - 1)*(w + 2)/7
Let r(o) be the second derivative of -49*o**8/5760 - 7*o**7/360 - 7*o**6/360 - o**5/90 - o**4/6 - o. Let m(v) be the third derivative of r(v). Factor m(h).
-(7*h + 2)**3/6
Suppose -11*r - 16 = -38. Solve 0 - 4/7*j - 2/7*j**r = 0 for j.
-2, 0
Let h(d) = -3*d**3 - d - 2. Let g(j) = -j**3 - j - 1. Let s(t) = -t**3 - 4*t**2 + 2. Let y be s(-4). Let a(c) = y*g(c) - h(c). Determine z so that a(z) = 0.
-1, 0, 1
Find w such that 0 - 3/2*w**2 + 9/4*w - 3/4*w**3 = 0.
-3, 0, 1
Determine h, given that -12/7 + 24/7*h**4 + 86/7*h**3 + 4*h**2 - 46/7*h = 0.
-3, -1, -1/4, 2/3
Let v(u) be the first derivative of -u**3 + 3*u**2/2 + 6*u + 3. Find r, given that v(r) = 0.
-1, 2
Suppose 0*g = 2*y + 3*g - 13, 0 = -3*y + 2*g. Suppose 4*r - 5*b = -r + 35, 0 = y*r + 3*b + 11. Solve -2/3*i**4 - 2/3*i + 0 + 2/3*i**r + 2/3*i**3 = 0 for i.
-1, 0, 1
Suppose -b = -4*b - 15. Let n = 9 + b. Find u, given that -51*u**5 - 85*u**4 - 2*u - 14*u**3 + 36*u**2 + 126*u**5 - 6*u - n*u**3 = 0.
-2/3, 0, 2/5, 1
Let m(p) be the first derivative of -p**6/10 - 12*p**5/25 - 3*p**4/10 + 4*p**3/5 + 9*p**2/10 + 26. What is y in m(y) = 0?
-3, -1, 0, 1
Let q(v) be the first derivative of -v**6/1260 - v**5/210 - v**3/3 - 6. Let o(r) be the third derivative of q(r). Factor o(p).
-2*p*(p + 2)/7
Let s = -217 + 439/2. Determine y, given that -8*y + s*y**4 + 41/2*y**3 - 25/2*y**5 - 2 - 1/2*y**2 = 0.
-1, -2/5, 1
Let 3*h**3 - 5*h**2 - 31*h + 26*h**2 + 17*h - 2*h**2 = 0. What is h?
-7, 0, 2/3
Suppose 2*n - 15 - 33 = 0. Let w be (n/18)/((-2)/(-3)). Factor 5*x**3 + 2*x**w + 0*x**2 - 4*x**3 + x.
x*(x + 1)**2
Find c such that 147/2*c**5 + 18*c - 336*c**4 - 150*c**2 + 0 + 789/2*c**3 = 0.
0, 2/7, 1, 3
Let d(o) be the second derivative of 0*o**6 + 1/15*o**4 - 5*o - 1/5*o**3 - 2/5*o**2 + 2/25*o**5 + 0 - 1/105*o**7. Suppose d(y) = 0. What is y?
-1, 1, 2
What is c in 722*c**2 + 6 - 114*c - 13718/9*c**3 = 0?
3/19
Let g be 1*(-2)/6*-9. Suppose -g*f + f = -4. Solve f*l**2 - 3 + 3 - 2*l = 0.
0, 1
Suppose -7*k - 3 = -8*k. Suppose 0 = -2*l + 2*n + 18, 3*n = 7*n + 20. Let 0 - 1/2*d**l + 1/2*d**2 - 1/2*d**5 + 0*d + 1/2*d**k = 0. What is d?
-1, 0, 1
Let p(f) be the third derivative of -f**6/60 + 4*f**5/15 + f**4/12 - 8*f**3/3 - 68*f**2. Suppose p(o) = 0. Calculate o.
-1, 1, 8
Let d(o) = -35*o**2 - 720*o - 2135. Let j(q) = 3*q**2 + 60*q + 178. Let i(s) = -2*d(s) - 25*j(s). Factor i(c).
-5*(c + 6)**2
Solve 0 - 4*p**3 + 0*p - 4/3*p**2 = 0 for p.
-1/3, 0
Let y(p) be the third derivative of 0 + 2*p**2 - 1/15*p**5 - 1/30*p**6 + 0*p + 1/6*p**4 + 2/3*p**3. Let y(b) = 0. Calculate b.
-1, 1
Let k(o) be the first derivative of -4*o**3/3 + 6*o**2 - 8*o + 24. Find m, given that k(m) = 0.
1, 2
Let a(q) be the third derivative of q**7/315 + q**6/90 + q**5/90 + q**2. Determine u, given that a(u) = 0.
-1, 0
Suppose 3*n + 2*a + 10 = -0*a, a + 8 = -2*n. Let o be 30/5 + n/2. Determine r so that -2*r**4 + r**4 - 21*r**o + 3*r**2 + 3*r**2 + 16*r**4 = 0.
0, 2/5, 1
Let t = 151 - 147. Determine y so that -4/3 + 14/3*y - 6*y**2 - 2/3*y**t + 10/3*y**3 = 0.
1, 2
Let -4/5*h - 6/5*h**2 + 0 = 0. Calculate h.
-2/3, 0
Let a(b) be the third derivative of b**8/84 - b**7/70 - b**6/24 + b**5/20 + b**4/24 - 2*b**2. Factor a(s).
s*(s - 1)**2*(s + 1)*(4*s + 1)
Let n(g) be the second derivative of g**8/1848 - g**6/660 + g**2/2 - 3*g. Let h(t) be the first derivative of n(t). Factor h(v).
2*v**3*(v - 1)*(v + 1)/11
Let c(a) = 5*a**4 + 2*a**3 - 5*a**2 + 2*a - 4. Let m(l) = 4*l**4 + 2*l**3 - 4*l**2 + l - 3. Let i(s) = -3*c(s) + 4*m(s). Factor i(w).
w*(w - 1)*(w + 1)*(w + 2)
Let z(a) be the third derivative of -a**7/3360 - a**6/960 + a**5/80 - a**4/8 + 3*a**2. Let n(f) be the second derivative of z(f). What is q in n(q) = 0?
-2, 1
Suppose 5*n - 9 = 1. Suppose -n*l = l, 0 = -3*z - 4*l. Factor -1/2*o**2 + z*o + 1/2*o**4 + 0*o**3 + 0.
o**2*(o - 1)*(o + 1)/2
Let s(d) be the second derivative of 5*d**4/12 - 13*d**3/6 - 3*d**2 - 6*d. Suppose s(v) = 0. What is v?
-2/5, 3
Factor -1/6*l**5 + 1/3*l**2 + 1/2*l + 1/6 - 1/2*l**4 - 1/3*l**3.
-(l - 1)*(l + 1)**4/6
Let h(j) = -2*j**5 + 2*j**2 + 2*j. Let b(k) = -k**4 + k**3 - k. Let x(l) = 4*b(l) + 2*h(l). Suppose x(y) = 0. What is y?
-1, 0, 1
Let l = 19 - 12. Factor -h + h**3 + 3*h**3 - 2*h + h - l*h**2.
h*(h - 2)*(4*h + 1)
Let d(q) be the first derivative of -4*q**5/45 - 2*q**4/9 + 4*q**2/9 + 4*q/9 - 19. What is w in d(w) = 0?
-1, 1
Let b(k) be the second derivative of 7*k**6/45 + 4*k**5/45 - 11*k**4/54 + 2*k**3/27 - 7*k. Let b(h) = 0. What is h?
-1, 0, 2/7, 1/3
Let r = -13 + 13. Suppose -g + 1 + 1 = r. Find v such that 0*v - 1/2 + 1/2*v**g = 0.
-1, 1
Let j be (-2)/4*1/(-5). Let v(i) be the third derivative of -5/168*i**7 + 0*i**3 - 2*i**2 - 1/24*i**4 - 3/32*i**6 + 0 + 0*i - j*i**5. Solve v(y) = 0 for y.
-1, -2/5, 0
Suppose 83*d - 82*d - 3 = 0. Factor -16/3*i - 10/3*i**2 - 2/3*i**d - 8/3.
-2*(i + 1)*(i + 2)**2/3
Let p be 1/(-12)*(-1 + 54/60). Let l(y) be the third derivative of 1/210*y**7 + 1/336*y**8 + 0 - 1/60*y**5 + 0*y**3 - y**2 + 0*y - p*y**6 + 0*y**4. Factor l(c).
c**2*(c - 1)*(c + 1)**2
Let p = -41/3 - -125/9. What is r in 4/9 - 2/9*r**2 + p*r = 0?
-1, 2
Let s(m) be the third derivative of 0*m + 1/2*m**3 + 1/20*m**5 + 0 + 3*m**2 + 1/4*m**4. Solve s(g) = 0 for g.
-1
Suppose 0 = -f - f + 20. Factor -f*n**2 - n**3 + 2 - 2 - n + 12*n**2.
-n*(n - 1)**2
Let w(d) be the second derivative of 1/49*d**7 + 0*d**4 + 0 + 0*d**3 - 4/105*d**6 + 1/70*d**5 + 3*d + 0*d**2. Factor w(g).
2*g**3*(g - 1)*(3*g - 1)/7
Let j be (-76)/13 + 6 + 5/52. Let 1/4*c**2 - j*c**3 + 0*c + 0 = 0. Calculate c.
0, 1
Factor -24/7*v + 8/7 + 10/7*v**2.
2*(v - 2)*(5*v - 2)/7
Let t be (140 + -1)/(3 - 0). Let f = -46 + t. Factor 0*y**2 + 0*y - f*y**4 + 0 - 1/3*y**3.
-y**3*(y + 1)/3
Let y be ((-35)/75)/((-3)/6). Factor -8/15 - y*t**2 - 32/15*t.
-2*(t + 2)*(7*t + 2)/15
Let q = 4 + -4. Let g be 3 - ((0 - q) + -1). Determine v, given that v + v**g - v**2 - v - v + v**3 = 0.
-1, 0, 1
Let c(q) be the third derivative of q**7/1260 - q**6/120 + q**5/30 - q**4/8 + 7*q**2. Let s(j) be the second derivative of c(j). Factor s(d).
2*(d - 2)*(d - 1)
Let s(c) be the first derivative of -c**3/12 - 5*c**2/8 - c + 12. Find y, given that s(y) = 0.
-4, -1
Factor 4/3*v**3 - 16/3*v + 0 - 4/3*v**4 + 16/3*v**2.
-4*v*(v - 2)*(v - 1)*(v + 2)/3
Suppose 0 + 3/2*r**3 - 15/4*r**2 + 3/2*r = 0. Calculate r.
0, 1/2, 2
Let n(b) = b + 13. Let q be n(-9). Suppose -q = d - 7. What is l in 8/3*l**4 + 0 + 2/3*l + 8/3*l**2 + 4*l**d + 2/3*l**5 = 0?
-1, 0
Let q = -49/2 + 155/6. Factor 0*b**2 - 2/3*b + 0 + q*b**3 - 2/3*b**5 + 0*b**4.
-2*b*(b - 1)**2*(b + 1)**2/3
Let h(z) be the second derivative of 0 + 0*z**2 + 0*z**5 + 9*z + 0*z**4 + 0*z**3 + 1/10*z**6. Suppose h(w) = 0. Calculate w.
0
Let u(z) be the first derivative of 4 + 49/10*z**5 +