e the third derivative of b**5/30 + b**4/3 + b**3 + 71*b**2. Factor o(f).
2*(f + 1)*(f + 3)
Let g be -6*(-7 - (1 - (-92)/(-12))). Determine u so that -4/3 + g*u - 2/3*u**2 = 0.
1, 2
Factor -240*c + 111*c - 32 + 2*c**3 + 109*c + 14*c**2.
2*(c - 2)*(c + 1)*(c + 8)
Factor 0 + 6/7*o + 2/7*o**4 - 6/7*o**3 - 2/7*o**2.
2*o*(o - 3)*(o - 1)*(o + 1)/7
Let w(t) be the first derivative of t**3/9 - 59*t**2/3 + 3481*t/3 - 8. Factor w(d).
(d - 59)**2/3
Let w(g) be the second derivative of g**5/40 + g**4/24 + 11*g. Factor w(o).
o**2*(o + 1)/2
Let o(d) be the first derivative of -4*d**5/25 - d**4 - 8*d**3/5 - 174. Factor o(p).
-4*p**2*(p + 2)*(p + 3)/5
Let u be 14/60*(-24)/(-560). Let g(z) be the second derivative of 2*z + 0 - 1/12*z**4 - 4/15*z**3 - 2/5*z**2 - u*z**5. Factor g(x).
-(x + 1)*(x + 2)**2/5
Let w(v) = -v**2 + v. Suppose -3 - 1 = -2*j. Let d(g) = g**2 - g. Let l(c) = j*w(c) + 5*d(c). Factor l(s).
3*s*(s - 1)
Let p be 404/505*5/42*7. Suppose -4/9*l - 2/9*l**4 + p*l**2 + 0 + 0*l**3 = 0. What is l?
-2, 0, 1
Let s(i) be the second derivative of 0*i**2 + 3/8*i**3 + 0 - 1/4*i**4 - 1/56*i**7 - 31*i - 3/40*i**5 + 1/10*i**6. Solve s(y) = 0.
-1, 0, 1, 3
Suppose -i - o = 2, 15*i + 12 = 17*i - 2*o. Let j(s) be the third derivative of 0 + 3/100*s**5 + 2/5*s**3 - 3*s**i - 13/40*s**4 + 0*s. Factor j(k).
3*(k - 4)*(3*k - 1)/5
Let i(l) be the first derivative of l**4/90 - l**3/45 - 26*l + 24. Let x(h) be the first derivative of i(h). Factor x(m).
2*m*(m - 1)/15
Let q(i) be the second derivative of 4*i + 0*i**3 + 0 - 3/40*i**5 + 0*i**2 + 0*i**6 - 1/12*i**4 + 1/84*i**7. Find o, given that q(o) = 0.
-1, 0, 2
Let g(y) = y**3 + y**2 + y. Let l(d) = -8*d**3 + 11*d**2 - 88*d + 108. Let t(m) = 28*g(m) + 4*l(m). Factor t(r).
-4*(r - 12)*(r - 3)**2
Let f = 2 - -7. Let l(s) = 12*s**2 + 6*s + 3. Let x(p) = p**2. Let m(a) = f*x(a) - l(a). Factor m(w).
-3*(w + 1)**2
Let u = 115/7 + -2171/133. Factor -2/19*n**2 - u - 4/19*n.
-2*(n + 1)**2/19
Let q be (-6)/(-40)*(-3664)/(-687). Factor q*n**4 + 12/5*n**2 - 16/5 + 16/5*n - 16/5*n**3.
4*(n - 2)**2*(n - 1)*(n + 1)/5
Let w(l) be the second derivative of -3*l**4/8 - 13*l**3/8 + 15*l**2/8 - 14*l - 2. Factor w(y).
-3*(2*y + 5)*(3*y - 1)/4
Let c = 1/161 + 1441/1288. Let k = c - 5/8. Determine x, given that 3/2*x + 1 - 3/2*x**3 - k*x**2 - 1/2*x**4 = 0.
-2, -1, 1
Let g(m) be the third derivative of -m**9/756 + m**8/70 - 2*m**7/35 + 4*m**6/45 - m**3 - 18*m**2. Let k(f) be the first derivative of g(f). Factor k(b).
-4*b**2*(b - 2)**3
Suppose 4*d = 5*w + 30, -10*d = -7*d + 3*w - 9. Determine b so that 2/5*b**d + 2/5*b**3 - 4/5*b**4 + 0*b + 0 + 0*b**2 = 0.
0, 1
Let v(c) = -12*c**5 + 12*c**3 + 12*c**2 - 16*c - 12. Let u(w) = 2*w**5 + w**3 - w**2 + w + 1. Let r(q) = -4*u(q) - v(q). Factor r(x).
4*(x - 2)*(x - 1)*(x + 1)**3
Let t(v) = -v**2 - v - 1. Let m = 67 - 65. Let c(r) = 2*r**3 + 12*r**2 - 10*r + 2. Let n(j) = m*t(j) + c(j). Find h, given that n(h) = 0.
-6, 0, 1
Suppose 322*u = 316*u + 24. Solve -1/3*j**2 + 0 + 1/3*j**3 - 1/3*j + 1/3*j**u = 0.
-1, 0, 1
Let s be -76 + 81 + ((-86)/14 - -2). Find q, given that 0 + 3/7*q**3 + 3/7*q**2 - s*q = 0.
-2, 0, 1
Let d be 10 + 1 + -16 + 7. Find i, given that -14/9*i**4 + 4/9 + 2*i + 10/9*i**2 - d*i**3 = 0.
-1, -2/7, 1
Suppose -4/9*k**2 + 0 + 2/9*k**3 - 2/3*k = 0. What is k?
-1, 0, 3
Let f = -2 + 1. Let c be ((-52)/8)/(f/2). Let c + v**2 - 13 = 0. Calculate v.
0
Let w = 284 + -200. Let a be (-2)/(-14) - (96/w - 4). Factor -52/3*y**a - 4/3*y**5 - 16*y**2 - 16/3*y + 0 - 8*y**4.
-4*y*(y + 1)**2*(y + 2)**2/3
Suppose x - 12 = -d, 2*d = -4*x + 6 + 12. Let k = -27 + d. Let g(r) = 10*r**2 + 10*r - 8. Let i(s) = 4*s**2 + 4*s - 3. Let o(m) = k*i(m) + 5*g(m). Factor o(l).
2*(l - 1)*(l + 2)
Let p(v) be the first derivative of -5*v**3/3 + 255*v**2 - 13005*v + 59. Determine h, given that p(h) = 0.
51
Let b = -1396 - -9778/7. Find x, given that 0*x - 3/7*x**3 - 3/7*x**5 + 0 + 0*x**2 + b*x**4 = 0.
0, 1
Suppose 2*v + 2 = 2*o, -29 = -v + 3*o - 8*o. Suppose 0 = v*p - 1 - 7. Factor 1/4*u**3 + 1/4*u**4 + 0 - 1/4*u**p - 1/4*u.
u*(u - 1)*(u + 1)**2/4
Let m(i) be the second derivative of 10/3*i**3 + 28*i**2 + 3*i + 1 - 1/3*i**4. Find g such that m(g) = 0.
-2, 7
Let -1/3*n**3 - 4/3*n**2 + 5/3*n + 0 = 0. Calculate n.
-5, 0, 1
Let g(w) be the first derivative of 2/35*w**5 - 1/14*w**4 - 2/21*w**3 + 0*w + 1/7*w**2 + 12. Determine n so that g(n) = 0.
-1, 0, 1
Let n(z) be the first derivative of -z**9/5040 + z**8/2800 - 2*z**3 - 8. Let c(a) be the third derivative of n(a). Determine v, given that c(v) = 0.
0, 1
Let u = -22 - -25. Factor 5*g**2 + g**u - 3*g - g**3 - g**3 - 9.
-(g - 3)**2*(g + 1)
Factor 1281*g**2 + 0 + 3721/3*g + 41*g**3 + 1/3*g**4.
g*(g + 1)*(g + 61)**2/3
Factor -37*b**4 - 91*b**3 + 2024*b**2 + 2116*b - 9*b**4 + 47*b**4.
b*(b - 46)**2*(b + 1)
Let l(z) be the third derivative of 0*z + 0 - 3/8*z**4 + 15*z**2 + 0*z**3 - 1/20*z**5. Factor l(k).
-3*k*(k + 3)
Suppose 0 = -3*u + 3*s - 3, -6*s + 2*s + 36 = 4*u. Factor -6*a**2 + 6*a**3 + 2*a**3 - 1 - 4*a**4 + 4*a + 3*a**u - 4*a**3.
-(a - 1)**4
Let g = -17 + 39. Let q(s) = -6*s - 44. Let v be q(-8). Find z, given that -22*z - v*z**5 + g*z = 0.
0
Let l(h) be the second derivative of h**6/240 + 11*h**2 + 11*h. Let y(v) be the first derivative of l(v). Factor y(g).
g**3/2
Let r be (-15)/(-27)*((-1236)/180 + 7). Let t(x) be the second derivative of -1/9*x**2 + 1/18*x**4 - 9*x + 0 - r*x**3. Suppose t(j) = 0. What is j?
-1/3, 1
Let c(j) = -2*j**4 - j**3 - j**2 + 2*j. Let d(r) = r**5 - 6*r**4 - 4*r**3 - 15*r**2 + 6*r + 8. Let y(h) = 5*c(h) - d(h). Factor y(s).
-(s - 1)**2*(s + 2)**3
Suppose -5*p - 8 = 14*r - 16*r, r - 4 = 4*p. Let m(t) be the first derivative of -11 + 1/3*t**2 - 1/12*t**r + 0*t - 1/9*t**3. Factor m(u).
-u*(u - 1)*(u + 2)/3
Let a(o) be the third derivative of -o**6/320 - 11*o**5/40 + 91*o**4/64 - 23*o**3/8 - o**2 - 301*o. Factor a(z).
-3*(z - 1)**2*(z + 46)/8
Let o = 11881 + -11878. Factor 0*l + 1/3*l**o + 0 - 4/3*l**2.
l**2*(l - 4)/3
Let f be 98/(-1 + -1)*(0 - 2). Let a be 77/f + 2/(-7). Factor 0 + 1/2*b**2 - a*b.
b*(b - 1)/2
Let 1/3*y**2 + 0 + 200/3*y = 0. Calculate y.
-200, 0
Let z(u) be the first derivative of -4*u**3/3 - 8*u**2 + 134. Determine y, given that z(y) = 0.
-4, 0
Suppose 11*g - 36 = -g. Suppose -12*u - g = -27. Suppose 0 + 2/7*z**u + 4/7*z - 2/7*z**4 - 4/7*z**3 = 0. What is z?
-2, -1, 0, 1
Suppose 35*h = -9 + 114. Let k(b) be the first derivative of 4/15*b**h - 8 - 1/5*b**4 - 6/25*b**5 + 3/5*b**2 + 2/5*b - 1/15*b**6. Find a, given that k(a) = 0.
-1, 1
Let b be -3 - (6/(-10) + (-6268)/1940). Let t = -3/97 + b. Solve -2/5*d**2 - 2/5 + t*d = 0 for d.
1
Suppose -4 = 2*b + 2*x, -4*b - 21*x = -23*x - 40. Let -b*n**2 + 8/3 + 4*n + 5/3*n**3 = 0. What is n?
-2/5, 2
Let o(j) = j + 6. Let x(k) = 2*k + 13. Let z(q) = 13*o(q) - 6*x(q). Let a be z(2). Find y, given that -2*y**3 + 2 + 4*y - a*y**4 - 2*y**3 + 0*y + 0*y**3 = 0.
-1, 1
Let f be (-583)/(-220)*-4 + 11. What is c in -2/5*c**3 + f - 6/5*c + 6/5*c**2 = 0?
1
Let h = -1689/4 - -423. Let d(k) be the first derivative of k**3 + 3/2*k**2 - 9 - h*k**4 - 3*k. Find r, given that d(r) = 0.
-1, 1
Suppose -5*u + 50 = -5*q, 22 = 2*u + q - 2*q. Factor -v**2 - 8*v - u + 4*v**2 + 0*v - v.
3*(v - 4)*(v + 1)
Let w be (8/(-60))/((-7)/5). Let y(v) be the first derivative of -4 + 0*v**2 + w*v**3 - 1/14*v**4 + 0*v. Let y(r) = 0. Calculate r.
0, 1
Let b(o) = 18*o**2 - 8*o - 1. Let p(m) = -22*m**2 + 8*m. Let j(l) = -6*b(l) - 5*p(l). Find c, given that j(c) = 0.
-3, -1
Let t(v) = -v**3 - 10*v**2 - 13*v - 20. Let o be t(-9). Let q = o - 16. What is i in 3/4*i**3 + q + 0*i**2 + 0*i + 15/4*i**4 = 0?
-1/5, 0
Let z(l) be the first derivative of -l**6/600 + l**4/120 - 25*l**2/2 + 56. Let r(f) be the second derivative of z(f). Factor r(t).
-t*(t - 1)*(t + 1)/5
Let a(g) = g + 1. Let i(s) = -s**2 + 5*s + 6. Let z(u) = a(u) + i(u). Determine n, given that z(n) = 0.
-1, 7
Factor 9*m + 1/2*m**2 + 81/2.
(m + 9)**2/2
Factor 184/3*f**3 - 192*f**2 + 108*f + 64/3*f**4 + 4/3*f**5 + 0.
4*f*(f - 1)**2*(f + 9)**2/3
Let g = 3087 - 3083. Find o such that -3/2*o**2 - 3/8*o**g - 15/8*o**3 + 0 + 0*o = 0.
-4, -1, 0
Let k(c) be the third derivative of c**5/210 + 19*c**4/42 + 32*c**2. Factor k(m).
2*m*(m + 38)/7
Let s(x) be the first derivative of 5*x**4/14 + 8