0*o. Suppose l(b) = 0. Calculate b.
-1, 0
Let y(x) be the first derivative of x**4/8 + x**3/4 - 3*x**2/2 + 2*x - 4. Let r(p) be the first derivative of y(p). Determine u, given that r(u) = 0.
-2, 1
Let l(h) be the second derivative of h**5/20 - 7*h**4/12 + 7*h**3/3 - 4*h**2 - h + 7. Determine j, given that l(j) = 0.
1, 2, 4
Suppose 12 = 4*b - 8. Find v, given that -b - 2*v**2 - 5 + 12 = 0.
-1, 1
Let l = 216/23 - 1420/161. Factor 2/7*y**2 - 6/7 - l*y.
2*(y - 3)*(y + 1)/7
What is k in 4/3*k**2 - 164/3 + 160/3*k = 0?
-41, 1
Let t(x) be the third derivative of -x**9/37800 - x**8/8400 - x**7/6300 + 9*x**4/8 - 26*x**2. Let j(z) be the second derivative of t(z). Factor j(r).
-2*r**2*(r + 1)**2/5
Let f = 155 + -153. Let v be (44/143)/(f/13). Factor -96/5*q + 24/5*q**v + 128/5 - 2/5*q**3.
-2*(q - 4)**3/5
What is s in -3*s**4 + 621*s - 208*s - 3*s**3 - 200*s + 6*s**2 + 2*s**4 - 205*s = 0?
-4, -1, 0, 2
Let t(n) be the second derivative of n**7/3360 - n**6/240 + 11*n**5/480 - n**4/16 + 2*n**3 - 35*n. Let r(x) be the second derivative of t(x). Factor r(z).
(z - 3)*(z - 2)*(z - 1)/4
Let m(g) be the first derivative of 5*g**3 + 22 - 3*g**5 + 5*g**4 + 0*g**4 - g**5 + 5*g**5. Factor m(n).
5*n**2*(n + 1)*(n + 3)
Let a(g) be the first derivative of g**8/7560 - g**7/3780 - g**6/540 + g**5/108 - g**4/54 + 9*g**3 + 29. Let k(x) be the third derivative of a(x). Factor k(i).
2*(i - 1)**3*(i + 2)/9
Let k(v) be the third derivative of -v**7/1365 - v**6/260 - v**5/195 - 20*v**2 + v. Determine w, given that k(w) = 0.
-2, -1, 0
Let t(r) be the third derivative of r**6/120 - 7*r**5/20 - 15*r**4/8 - 23*r**3/6 + r**2 + 95. Determine j so that t(j) = 0.
-1, 23
Factor 650*y + 44*y**4 - 235*y**2 - 230*y**3 - 284*y - 316*y + 11*y**4.
5*y*(y - 5)*(y + 1)*(11*y - 2)
Let u(l) be the first derivative of -1/390*l**5 + 1/39*l**3 + l**2 + 6 + 0*l**4 + 0*l. Let h(p) be the second derivative of u(p). Factor h(f).
-2*(f - 1)*(f + 1)/13
Let x(c) be the first derivative of -3*c**5/10 + c**4 - c**3 + c/2 - 128. Factor x(r).
-(r - 1)**3*(3*r + 1)/2
Let b(k) be the first derivative of 12*k - 3/4*k**4 - 2 + 0*k**2 - 3*k**3. Factor b(w).
-3*(w - 1)*(w + 2)**2
Let t(a) = -5*a - 16. Let v be t(-8). Let l be 51/99 + -1 + 16/v. Solve 2/11*i**4 + 2/11*i + 0 - 2/11*i**2 - l*i**3 = 0 for i.
-1, 0, 1
Let k(m) = -13*m**4 + 8*m**3 - 8*m**2 + 6*m + 21. Let f(r) = -2*r**4 + r**3 - r**2 + r + 3. Let o(b) = -21*f(b) + 3*k(b). Factor o(h).
3*h*(h - 1)*(h + 1)**2
Let l(q) = -q**2 + 6*q + 8. Let b be l(6). Suppose b*k - 10*k = -8. Find v, given that 0*v**k - 2*v**3 + 2*v**3 - v**4 = 0.
0
Let j be (-2)/10 + (-105)/(-25). What is l in -18*l**5 + 19*l**5 - 9*l**3 - 3*l**j + 12*l**3 - l**2 = 0?
0, 1
Let s(k) be the second derivative of -k**6/45 - k**5/30 + k**4/3 + 4*k**3/9 - 8*k**2/3 - 12*k + 9. Let s(h) = 0. Calculate h.
-2, 1, 2
Let x(p) be the second derivative of 0 + 1/105*p**7 + 1/75*p**6 + 0*p**2 - 1/50*p**5 - 1/30*p**4 - 11*p + 0*p**3. Let x(c) = 0. Calculate c.
-1, 0, 1
Determine t, given that -t**4 + 2213*t**3 - 2214*t**3 + 3*t**2 - 2*t**4 + 4*t**5 - 3*t**5 = 0.
-1, 0, 1, 3
Let h = -74282 - -7948334/107. Let r = h + 1/214. Factor 3/2*x**4 + 0 + 3/2*x - 3/2*x**2 - r*x**3.
3*x*(x - 1)**2*(x + 1)/2
Let w(g) be the first derivative of 4*g**5 + 9*g**4 + 4*g**3 - 2*g**2 + 13. Suppose w(k) = 0. Calculate k.
-1, 0, 1/5
Let n = -2604 + 13026/5. Solve 2/5*k**4 - 4/5*k**2 + 2/5 + n*k**5 + 6/5*k - 12/5*k**3 = 0 for k.
-1, -1/3, 1
Let h(j) be the first derivative of -j**5/5 - 9*j**4/2 - 27*j**3 + 43. Suppose h(n) = 0. Calculate n.
-9, 0
Let n(h) be the third derivative of -h**7/70 - h**6/20 + h**5/4 + 3*h**4/4 - 111*h**2 + 3*h. Let n(l) = 0. What is l?
-3, -1, 0, 2
Let o(a) be the first derivative of -2*a**6/15 - 44*a**5/25 - 42*a**4/5 - 72*a**3/5 + 54*a**2/5 + 324*a/5 - 650. Factor o(l).
-4*(l - 1)*(l + 3)**4/5
Let s(r) = -3*r**2 - 29*r + 5. Let k(c) = -c**2 + 7 + 72*c - 4 - 87*c. Let f(o) = -5*k(o) + 3*s(o). Factor f(v).
-4*v*(v + 3)
Let c = 62 + -34. Let z be 1 + (2 - (c/8 + -1)). Let -3/4*h**2 + z - 1/4*h = 0. What is h?
-1, 2/3
Let d(q) be the first derivative of q**4/18 - 5*q - 12. Let y(w) be the first derivative of d(w). Factor y(g).
2*g**2/3
Let x(m) be the first derivative of -20 + 6*m**2 - 13/12*m**3 + 1/16*m**4 - 9*m. Let x(r) = 0. Calculate r.
1, 6
Factor -30 + 3/4*f**2 + 477/8*f.
3*(f + 80)*(2*f - 1)/8
Let g = 34 - 58. Let i(d) = 20*d**2 - 1468*d + 730*d + 754*d. Let q(s) = -s**2 - s. Let f(z) = g*q(z) - i(z). Factor f(o).
4*o*(o + 2)
Let n(a) = -28*a**2 + 61*a + 3. Let k(q) = -27*q**2 + 62*q + 2. Let t(v) = -6*k(v) + 5*n(v). Factor t(r).
(r - 3)*(22*r - 1)
Let y(b) be the first derivative of -5 - 1/4*b**4 - 3/2*b**2 - b**3 + 4*b. Let d(t) be the first derivative of y(t). Find s, given that d(s) = 0.
-1
Suppose 0 = 2*k + 22 + 6. Let u = 9 + k. Let l(p) = 20*p**3 + 20*p**2 + 12*p. Let q(h) = -8*h**3 - 8*h**2 - 5*h. Let j(o) = u*l(o) - 12*q(o). Factor j(v).
-4*v**2*(v + 1)
Suppose 1779*j = 1776*j + 6. Factor 0 - 3/5*o**3 + 6/5*o**j - 3/5*o.
-3*o*(o - 1)**2/5
Solve -8/7*a + 20 - 4/7*a**2 = 0.
-7, 5
Let u(g) be the second derivative of g**5/30 + 23*g**4/9 + 253*g. Let u(m) = 0. What is m?
-46, 0
Let h(x) = -3*x + 18. Let u be h(4). Suppose u*l = 2*j + 2*l - 24, -5*j - 2*l = 0. Find c, given that -6*c**3 + 0*c + 0*c**j - 6*c**4 + 0 - 3/2*c**5 = 0.
-2, 0
Let m(y) = y**3 + 5*y**2 - y - 2. Let z be m(-5). Suppose -z*l - 3 = -4*l. Factor 4*d**l - 2*d**4 - 20*d - 2*d**2 + 20*d.
-2*d**2*(d - 1)**2
Let n(g) be the second derivative of g**10/15120 - g**9/5040 + g**7/2520 - 5*g**4/4 + 2*g. Let b(i) be the third derivative of n(i). Factor b(l).
l**2*(l - 1)**2*(2*l + 1)
Let u(s) be the second derivative of 5*s**4/12 - 235*s**3/6 + 330*s**2 - 385*s. Suppose u(o) = 0. Calculate o.
3, 44
Let o(p) = p**3 + 14*p**2 + 15*p + 28. Let q be o(-13). Let y be 5/2 + (q/1 - 4). Let -1 - y*v + 1/2*v**2 = 0. Calculate v.
-1, 2
Let z(v) = v + 4. Let i be z(-2). Factor -i + c**3 - c + 3 + 2 - 4 + c**2.
(c - 1)*(c + 1)**2
Let t(z) be the first derivative of -5*z**6/18 + 7*z**5/3 - 15*z**4/2 + 110*z**3/9 - 65*z**2/6 + 5*z + 30. Solve t(f) = 0.
1, 3
Factor 74/5*o**2 + 2/5*o**4 - 18*o - 22/5*o**3 + 36/5.
2*(o - 6)*(o - 3)*(o - 1)**2/5
Let l = -10 - -12. Let a(f) = f**2 + f**2 - f**2 + 4*f - 5 + 2*f**l. Let z(t) = -t**2 - 2*t + 2. Let g(v) = -2*a(v) - 5*z(v). What is r in g(r) = 0?
0, 2
Let z(c) be the second derivative of -5/8*c**2 - 5/168*c**7 - 1/24*c**6 + 1/8*c**5 - 5/24*c**3 + 5/24*c**4 + 0 + 15*c. Factor z(x).
-5*(x - 1)**2*(x + 1)**3/4
Let k = 19961 - 79829/4. What is q in -k*q**2 + 3 + 0*q + 3/4*q**4 + 0*q**3 = 0?
-2, -1, 1, 2
Let i(q) be the first derivative of q**3/2 - 15*q**2 + 54*q - 224. Determine f so that i(f) = 0.
2, 18
Let b(i) be the second derivative of i**4/54 - 5*i**3/9 + 56*i**2/9 - 2*i + 102. Find t, given that b(t) = 0.
7, 8
Let d = 70 - 62. Suppose -4*k - n + 6 = 0, -d*k + 6*k - n = -2. Factor 0 + 0*b + 2/13*b**k - 2/13*b**3.
-2*b**2*(b - 1)/13
Let g(p) be the second derivative of -5*p**4/36 - 20*p**3/9 - 25*p**2/2 - 259*p. Determine h, given that g(h) = 0.
-5, -3
Let v = 27551/50 - 551. Let m = v - -12/25. Determine s so that -1/2*s**2 + 1/2*s - m*s**3 + 1/2 = 0.
-1, 1
Factor -4*b**2 + 249*b**3 - 2*b**5 - 10*b + 1 - 237*b**3 - 2*b**4 - 2 + 7.
-2*(b - 1)**3*(b + 1)*(b + 3)
Let t(r) be the third derivative of -r**7/420 - r**6/120 + r**5/120 + r**4/24 + 66*r**2. Factor t(a).
-a*(a - 1)*(a + 1)*(a + 2)/2
Let g(c) be the second derivative of -1/5*c**5 + 0 + 8*c**2 + 2*c**4 + 6*c - 6*c**3. Let g(r) = 0. What is r?
1, 4
Let m(l) be the first derivative of 3/20*l**5 + 0*l**2 - 1/2*l**3 + 1/4*l**4 - 5*l - 1/10*l**6 + 4. Let u(a) be the first derivative of m(a). Factor u(q).
-3*q*(q - 1)**2*(q + 1)
Let s(t) = t**3 + 14*t**2 - 38*t - 48. Let w(i) = 2*i**3 + 28*i**2 - 75*i - 96. Let z(j) = -5*s(j) + 3*w(j). Solve z(o) = 0 for o.
-16, -1, 3
Let p be 5/20 + (-6)/96. Let g(w) be the first derivative of -1/4*w + 1/12*w**3 + 1/48*w**6 + 0*w**5 + p*w**2 - 1/8*w**4 + 2. Factor g(h).
(h - 1)**3*(h + 1)*(h + 2)/8
Let k(s) be the first derivative of 2/3*s**4 - 4/3*s + 5 - 1/9*s**6 + 4/9*s**3 - s**2 + 0*s**5. Solve k(i) = 0.
-1, 1, 2
Let y = -34862 + 104588/3. Solve 0 - y*w**3 - 10/3*w - 4*w**2 = 0.
-5, -1, 0
Let z = 7/9 - 4/9. Let f