e third derivative of 0 - 1/50*w**5 + 0*w + 0*w**3 - 5*w**2 - 7/200*w**6 + 0*w**4. Determine r so that c(r) = 0.
-2/7, 0
Let a be 0/2*(-25)/(-50). Factor 3/5*q**4 - 6/5*q**3 + 0*q + 3/5*q**2 + a.
3*q**2*(q - 1)**2/5
Suppose -2*n - 2*n = 0. Suppose -5*b + n*s + s = -14, -2*s - 12 = -2*b. Find w, given that 9*w**2 + 0*w**2 - 3*w**b + 2*w - 4 = 0.
-1, 2/3
Let v(y) be the second derivative of -y**6/540 - y**5/30 - y**4/4 - y**3/3 - 4*y. Let b(u) be the second derivative of v(u). Factor b(g).
-2*(g + 3)**2/3
Let r(g) be the second derivative of -g**4/90 + g**3/45 - 8*g. Factor r(s).
-2*s*(s - 1)/15
Let s(h) be the first derivative of -8 + 1/4*h**3 - 9/8*h**2 + 3/2*h. Solve s(r) = 0.
1, 2
Factor 0*b + 0 + 3/4*b**4 - 3/4*b**3 + 1/4*b**2 - 1/4*b**5.
-b**2*(b - 1)**3/4
Solve 16 + 15*j**4 - 24*j + 64*j**3 + 13*j**4 - 20*j - 12*j**4 - 12*j**2 = 0 for j.
-4, -1, 1/2
Solve -s**2 + 4/7 - 1/7*s**3 + 0*s + 1/7*s**5 + 3/7*s**4 = 0.
-2, -1, 1
Let r be 30/7 - (-4)/(-14). Suppose r*m + b - 7 = 0, 4*m - 2*b + 0*b - 10 = 0. Factor -w - m*w**3 + 4*w - w.
-2*w*(w - 1)*(w + 1)
Suppose -4*g - 3 = -11. Factor 12*l**3 - 42*l + 2 + 48*l + 21*l**g - 5.
3*(l + 1)**2*(4*l - 1)
Let k(d) be the third derivative of 0*d**3 - 1/50*d**5 + 0 + 0*d**6 + 1/525*d**7 + 0*d + 8*d**2 + 1/30*d**4. Solve k(r) = 0 for r.
-2, 0, 1
Let r(s) = -5*s**4 + 5*s**3 + 6*s**2 + 2*s + 2. Let j(a) = 81*a**4 - 81*a**3 - 96*a**2 - 33*a - 33. Let y(q) = -2*j(q) - 33*r(q). What is u in y(u) = 0?
-1, 0, 2
Let l be (-16)/60 - (-6)/10. Let z(v) be the first derivative of 0*v - 4/9*v**3 - l*v**2 + 2. Factor z(m).
-2*m*(2*m + 1)/3
Let r = -410/3 - -138. Factor -4/3 - 1/3*o**2 + r*o.
-(o - 2)**2/3
Suppose -5*u + 9 + 1 = 0, 3*r + 2*u = 4. Find s, given that -1/4*s**2 + r + 0*s = 0.
0
Let i(k) = -k**2 + 7*k - 7. Let w be i(5). Let n be w - -3*(-2)/6. Factor -5*g**3 - g + 3*g + n*g**3 - 5*g + 6*g**2.
-3*g*(g - 1)**2
Let u(g) = -8*g**2 - 2*g + 11. Let i(n) = 7*n**2 + n - 10. Let j(x) = 5*i(x) + 4*u(x). Factor j(q).
3*(q - 2)*(q + 1)
Factor -2*w**2 + 7/6*w**3 - 2/3*w + 0.
w*(w - 2)*(7*w + 2)/6
Suppose 4*k = k - 351. Let i = k - -355/3. Solve 2/3*r + i*r**2 - 4/3 - 2/3*r**3 = 0 for r.
-1, 1, 2
Suppose 3*j**2 - 5*j**2 - 5*j**2 + 3*j**2 = 0. Calculate j.
0
Suppose 5*b = b + 2*g + 12, 4*g = b + 4. Determine y so that 6*y**3 + 0 - 7*y**b - 6*y + 2 + 15*y**4 - 10*y**2 = 0.
-1, 1/4, 1
Let x(j) be the second derivative of j**7/252 + j**6/60 + j**5/40 + j**4/72 - 8*j. What is d in x(d) = 0?
-1, 0
Let g(z) be the third derivative of z**8/2520 + z**7/315 + z**6/90 + z**5/45 + z**4/36 - z**3/3 - z**2. Let s(i) be the first derivative of g(i). Factor s(v).
2*(v + 1)**4/3
Factor 2*l**5 + 0*l**5 + l**4 - 6*l**5 + 3*l**4.
-4*l**4*(l - 1)
Let f be 4/18 + 0 - 0. Let g be (8/(-90))/((-48)/(-30) + -2). Find d, given that -4/9 + f*d**2 - g*d = 0.
-1, 2
Let t(v) be the first derivative of 20/27*v**3 + 1/9*v**2 - 2 + 64/45*v**5 + 0*v + 16/9*v**4. Factor t(k).
2*k*(2*k + 1)*(4*k + 1)**2/9
Suppose 2*u = -v - 2*u - 20, -2*u = 10. Let 8*s**2 - 4*s**2 + v*s**5 + 4*s**3 - 4*s**5 - 4*s**4 = 0. Calculate s.
-1, 0, 1
Let c(w) be the first derivative of -343*w**5/120 - 49*w**4/12 - 7*w**3/3 - 2*w**2/3 - 3*w - 3. Let u(n) be the first derivative of c(n). Solve u(i) = 0.
-2/7
Let c(m) be the third derivative of -m**8/6720 + m**7/1800 - m**6/1800 + 7*m**4/24 - 5*m**2. Let n(i) be the second derivative of c(i). Let n(a) = 0. What is a?
0, 2/5, 1
Let s(i) be the first derivative of 9*i**6/100 + 3*i**5/25 + i**4/15 - 4*i**3/3 + 2. Let j(l) be the third derivative of s(l). Factor j(g).
2*(9*g + 2)**2/5
Let n(u) be the first derivative of u**4/22 + 4*u**3/33 + u**2/11 + 3. Factor n(l).
2*l*(l + 1)**2/11
Let c(b) = 12*b + 14. Let s be c(-1). Let 0 + 2/9*q**5 + 2/9*q**3 + 4/9*q**4 + 0*q**s + 0*q = 0. Calculate q.
-1, 0
Let w = 6 + -3. Factor 3 + r**2 + 2*r - w.
r*(r + 2)
Suppose -16 = 5*s + 5*g - 1, 2*g = 4*s + 18. Let a be 5 - (s + 1) - 3. Factor -1/2*m**a + 0*m**2 - 1/2*m**3 + m**4 + 0*m + 0.
-m**3*(m - 1)**2/2
Let h(g) be the second derivative of -3*g**5/20 + 9*g**4/4 - 12*g**3 + 24*g**2 - 17*g. Factor h(v).
-3*(v - 4)**2*(v - 1)
Let l = 25 + -49/2. Let c(u) be the second derivative of u + 1/40*u**5 - 1/12*u**3 + 1/12*u**4 + 0 - l*u**2. Factor c(q).
(q - 1)*(q + 1)*(q + 2)/2
Let m(k) = k + 2 + 0 + k - 3*k. Let i be m(-4). Factor 4*w**2 - 2*w**2 + 4*w - i*w.
2*w*(w - 1)
Let n(s) = -3*s**3 + 10*s**2 - s + 6. Suppose b - 5 = -0. Let f(v) = v**3 - v**2 + v - 1. Let c(d) = b*f(d) + n(d). Factor c(p).
(p + 1)**2*(2*p + 1)
Let r(g) = 3*g**2 + 1. Let q be r(1). Factor h - 2*h + q*h**2 + 10*h - h.
4*h*(h + 2)
Solve 1/3*u**3 + 0 + 0*u**2 + 0*u - 1/3*u**4 = 0 for u.
0, 1
Let d(f) = 13*f + 184. Let x be d(-14). Suppose -1/2*a - 3/4*a**3 + 0 + 7/4*a**4 + 5/4*a**5 - 7/4*a**x = 0. Calculate a.
-1, -2/5, 0, 1
Let s = 46 + -44. Suppose -1 - 1/2*h**s + 3/2*h = 0. Calculate h.
1, 2
Let h = 413 + -411. Factor 6/13*k + 4/13 - 10/13*k**h.
-2*(k - 1)*(5*k + 2)/13
Let q(h) be the third derivative of -h**5/100 - 3*h**4/20 - 9*h**3/10 + 8*h**2. Find b, given that q(b) = 0.
-3
Let m = 14 + -69/5. Factor 1/5*v**4 + m*v**2 + 0 + 2/5*v**3 + 0*v.
v**2*(v + 1)**2/5
Factor -3/4*y**2 - 9/4*y + y**3 - 1/2.
(y - 2)*(y + 1)*(4*y + 1)/4
Let x = 7 - 6. Let z be x + 5 + -4 + 0. What is s in 2/3*s**z + 0 + 4/3*s = 0?
-2, 0
Let a(r) be the first derivative of 1/4*r**4 + 0*r**3 + 0*r - 1/2*r**2 - 5. Factor a(l).
l*(l - 1)*(l + 1)
Let k(a) be the first derivative of 0*a**2 - 3/10*a**5 + 1/2*a**3 + 21/16*a**4 - 7/8*a**6 + 4 + 0*a. Determine n, given that k(n) = 0.
-1, -2/7, 0, 1
Let i = -183/44 + 54/11. Determine p so that 0*p**2 - p + i*p**3 + 1/4*p**4 + 0 = 0.
-2, 0, 1
Let z = -2 + 2. Let 2/11*w**3 + 4/11*w + z + 6/11*w**2 = 0. Calculate w.
-2, -1, 0
Let r = -199 + 21493/108. Let k(j) be the third derivative of -1/270*j**5 + 2/27*j**3 + r*j**4 + 0 + 0*j + 2*j**2. Factor k(i).
-2*(i - 2)*(i + 1)/9
Let 1/6*o**4 + 4/3*o**2 + 0 - 3/2*o**3 + 0*o = 0. Calculate o.
0, 1, 8
Let m(c) = 5*c**4 + 19*c**3 + 9*c**2 - 77*c + 47. Let i(o) = -16*o**4 - 58*o**3 - 26*o**2 + 230*o - 140. Let n(f) = 3*i(f) + 10*m(f). Factor n(g).
2*(g - 1)**2*(g + 5)**2
Let y(m) = 2*m + 31. Let z be y(-14). Suppose -5 = -z*f - 2. Factor 1/4*t**2 + f - t.
(t - 2)**2/4
Suppose -3/5*c**2 - 24/5*c**4 - 21/5*c**3 + 0 + 48/5*c**5 + 0*c = 0. What is c?
-1/4, 0, 1
Let g(n) = 2*n**3 - 19*n**2 - 10*n + 2. Let z be g(10). Let 1/4*u - 4*u**5 - 2*u**4 + 2*u**z + 15/4*u**3 + 0 = 0. Calculate u.
-1, -1/4, 0, 1
Let l(m) = -m**2 + 5*m + 4. Let a be l(5). Factor -2*d**5 - a*d**2 + 3*d**3 - 6*d**2 + 3*d**3 + 4*d + 4*d**4 - 2*d**4.
-2*d*(d - 1)**3*(d + 2)
Determine t so that 15/8*t + 3/8*t**2 + 0 = 0.
-5, 0
Let p be ((-25)/10 - -3)*0/(-1). Factor 0*t + p - 1/4*t**2.
-t**2/4
Let h(g) = g**4 - g**2 + 1. Suppose 0 = 4*t - 3 - 1. Let x(b) = -4*b**3 - 6*b**2 - 2*b + 1. Let y(q) = t*h(q) - x(q). Find v, given that y(v) = 0.
-2, -1, 0
Let t be 12*(5 + (-58)/12). Factor 0 - 8/13*w - 2/13*w**3 - 8/13*w**t.
-2*w*(w + 2)**2/13
Let p(g) = 6*g**5 - 5*g**4 - 2*g**3 - 5*g**2 + 6*g. Let i(d) = -7*d**5 + 6*d**4 + 2*d**3 + 6*d**2 - 7*d. Let l(o) = -5*i(o) - 6*p(o). Factor l(c).
-c*(c - 1)**2*(c + 1)**2
Let s(h) = 33*h**3 - 45*h**2 - 21. Let d(o) = 8*o**3 - 11*o**2 - 5. Let l = 12 - 7. Let p(m) = l*s(m) - 21*d(m). Determine z so that p(z) = 0.
0, 2
Let v = -3760/123 + 241316/4305. Let h = v - 126/5. Solve -h*x**4 + 2/7*x**2 + 0 - 4/7*x**3 + 0*x + 4/7*x**5 = 0.
-1, 0, 1/2, 1
Suppose 4*d = 2*d. Let s be 1 + (d - 0 - -1). Factor 1 + 1 + 3*r**2 - 1 - s*r**2 + 2*r.
(r + 1)**2
Factor -31*a**4 + 0*a**2 + 6*a**2 - a**2 + 26*a**4 + 10*a**3 - 10*a.
-5*a*(a - 2)*(a - 1)*(a + 1)
Suppose -1 = o - 4. Let w = 11903/2550 + -1/850. Find g such that 8/3*g**o + 10/3*g**2 - w*g - 4/3 = 0.
-2, -1/4, 1
Let b(a) be the first derivative of -a**3/12 - a**2/4 - 19. Determine u so that b(u) = 0.
-2, 0
Let a = -18 + 22. Let f(u) be the second derivative of 1/18*u**a - 2*u - 2/9*u**3 + 0 + 1/3*u**2. Suppose f(p) = 0. Calculate p.
1
Let h = 23 + -19. Let i be -1 + 3/9 - -1. Solve v**2 - i*v**3 + 1/3*v - 2/3 - 1/3*v**h = 0.
-2, -1, 1
Let h(f) be the second derivative of f**5/50 - f**4/15 - f. Factor h(n).
2*n**2*(n - 2)/5
Let a(z) = z**3 + 7*z**2 - 3*z - 1. Let j be a(-7). Suppose -j = -5*k, -5*p =