d o, given that t(o) = 0.
-1, 0
Let w be (-6)/9 + 0 - -2. Let y be ((-8)/5)/(264/(-220)). Let 1/3*q**3 - w*q - y + 1/3*q**2 = 0. Calculate q.
-2, -1, 2
Let v(f) = -f**2 + f + 113. Let s be v(-10). Let z(w) be the third derivative of 6*w**2 + 0 + 0*w - 2/3*w**4 + 1/15*w**5 + 0*w**s. Determine o so that z(o) = 0.
0, 4
Let t(l) be the first derivative of 42*l**4 - 16*l**3/3 - 57*l**2/7 + 18*l/7 + 68. Factor t(c).
2*(3*c + 1)*(14*c - 3)**2/7
Let f(j) be the third derivative of j**8/3360 + j**7/420 - j**6/90 + 7*j**4/12 - 24*j**2. Let l(p) be the second derivative of f(p). Solve l(z) = 0.
-4, 0, 1
Let r = -7855/532 - -2/133. Let p = 181/12 + r. Let -p - 1/6*t + 1/6*t**2 = 0. What is t?
-1, 2
Let g be (-5)/((-38)/(-12) + -4). Let n(i) = 2*i**3 + 12*i**2 + 24*i + 11. Let y(h) = 2*h**3 + 12*h**2 + 24*h + 10. Let j(o) = g*n(o) - 5*y(o). Factor j(b).
2*(b + 2)**3
Suppose 3*z = -48 - 0. Let x = z - -19. Solve -4*a**3 - 11*a - 1 + 3*a**x - 3*a**3 + 7*a - a**4 - 6*a**2 = 0.
-1
Let q(u) be the second derivative of -u**4/24 + u**3/2 - 9*u**2/4 - 171*u. Factor q(h).
-(h - 3)**2/2
Let v(g) be the first derivative of g**8/5040 + g**7/2520 - g**6/540 + 2*g**3/3 - 13. Let k(c) be the third derivative of v(c). Find z such that k(z) = 0.
-2, 0, 1
Let t(a) = a + 19 - 2*a**3 - 15 + 0*a - 4*a**2. Let l(c) = c. Let p(f) = -l(f) - t(f). Factor p(x).
2*(x - 1)*(x + 1)*(x + 2)
Let t(s) be the third derivative of 19*s**2 + 0 + 0*s - 8/9*s**3 + 13/18*s**4 - 1/15*s**5. Solve t(g) = 0.
1/3, 4
Suppose 2*h + 192 = -6*h. Let u be (-8)/(-10)*(-30)/h*2. Find v such that 0 + 2/5*v - 2/5*v**u = 0.
0, 1
Factor -15/2*n - 12 - 3/4*n**2.
-3*(n + 2)*(n + 8)/4
Let h(b) = -23*b**2 - 25*b - 6. Let j(v) = -66*v**2 - 75*v - 17. Let w(y) = -17*h(y) + 6*j(y). Solve w(d) = 0 for d.
-5, 0
Let g(i) = i - 6. Let c be g(17). Let z = c + -11. Factor 0 - 3*r**2 - 135/4*r**4 + 18*r**3 + z*r + 75/4*r**5.
3*r**2*(r - 1)*(5*r - 2)**2/4
Let o be (1 + 91/(-52))/((-1)/4). Let n = 17 + -15. Find b, given that -2/9*b**o - 4/9 + 0*b**n + 2/3*b = 0.
-2, 1
Let q(c) be the second derivative of -c**4/4 - c**3 + 9*c**2/2 - 172*c. Factor q(d).
-3*(d - 1)*(d + 3)
Let d(j) = -7*j**4 + 9*j**3 - 8*j**2 - 3. Let n be (-2)/(-3) + 7*8/(-12). Let p(b) = 8*b**4 - 8*b**3 + 8*b**2 + 4. Let h(v) = n*d(v) - 3*p(v). Factor h(l).
4*l**2*(l - 2)*(l - 1)
Let q be (-42)/(-231) - (-256)/44. Let u(a) be the third derivative of 0 + 0*a**3 + 0*a + 1/24*a**4 + 1/20*a**5 + 1/40*a**q + 1/210*a**7 + 2*a**2. Factor u(d).
d*(d + 1)**3
Let o(p) be the first derivative of p**4/16 - 11*p**3/6 - 25*p**2/8 + 23*p/2 + 53. Factor o(x).
(x - 23)*(x - 1)*(x + 2)/4
Suppose -6*r = -20*r + 28. Factor 8/5*h**r + 0*h + 4/5*h**4 - 18/5*h**3 + 0.
2*h**2*(h - 4)*(2*h - 1)/5
Let g(d) be the third derivative of 0*d + 1/168*d**8 + 1/15*d**7 + 1/4*d**6 - 12*d**2 + 3/10*d**5 + 0*d**3 + 0 + 0*d**4. Factor g(x).
2*x**2*(x + 1)*(x + 3)**2
Let m(d) be the first derivative of 1/45*d**5 - 1/6*d**2 - 5/27*d**3 + 1/12*d**4 + 4/9*d + 36. Let m(f) = 0. Calculate f.
-4, -1, 1
Let h(a) be the first derivative of -a**5/10 - a**4/8 + a**3/6 + a**2/4 - 4. Factor h(z).
-z*(z - 1)*(z + 1)**2/2
Suppose -6*o + 9*o = 0. Suppose 3*s + 3*f + 12 = 8*s, -3*s - 5*f + 14 = o. Factor 4*i + 8*i**s - i + 10*i**2 - i + 2*i**4 + 2*i.
2*i*(i + 1)**2*(i + 2)
Let t(c) be the first derivative of 9*c**5/5 + 19*c**3 + 10. Let w(b) = b**4 + 7*b**2. Let n(m) = -4*t(m) + 33*w(m). Factor n(v).
-3*v**2*(v - 1)*(v + 1)
Suppose -14283 = -6*r + 315. Factor 7*u**2 + u**4 + 0*u + 2428*u**3 - 3*u - r*u**3.
u*(u - 3)*(u - 1)**2
Let y(a) be the second derivative of -a**5/16 + 5*a**4/48 + 5*a**3/6 - 5*a**2/2 + 77*a. Factor y(j).
-5*(j - 2)*(j - 1)*(j + 2)/4
Let b(l) = -47*l**4 + 261*l**3 - 825*l**2 + 1000*l - 400. Let z(f) = -9*f**4 + 52*f**3 - 165*f**2 + 200*f - 80. Let q(k) = -2*b(k) + 11*z(k). Factor q(v).
-5*(v - 4)**2*(v - 1)**2
Let n = -400579/39 + 10270. Let p = -12/13 - n. Factor p*a + 1/3 - 2/3*a**2.
-(a - 1)*(2*a + 1)/3
Suppose 9*p + p = -4*p. Let m(h) be the third derivative of -23/300*h**6 + 0 - h**2 + p*h**3 + 0*h + 2/15*h**5 - 1/15*h**4 + 1/75*h**7. What is s in m(s) = 0?
0, 2/7, 1, 2
Suppose -5*v = 2*v - v. Suppose -4*d - w + 15 = 2*w, 4*w - 4 = v. Factor 0 - 2/5*k + 2/5*k**d + 0*k**2.
2*k*(k - 1)*(k + 1)/5
Factor -191*i + 3*i**2 + 106*i + 94*i.
3*i*(i + 3)
Let j = -2671 - -2673. Let g(z) be the second derivative of 0 - j*z**4 + 2/7*z**7 - 5*z - 4/3*z**3 - 1/5*z**5 + z**2 + 11/15*z**6. Factor g(s).
2*(s - 1)*(s + 1)**3*(6*s - 1)
Factor 0 + 13/3*v**2 + 1/6*v**3 + 25/6*v.
v*(v + 1)*(v + 25)/6
Let s(i) be the third derivative of i**8/131040 - i**7/4680 - i**6/585 + 7*i**5/30 - 7*i**2. Let l(g) be the third derivative of s(g). Factor l(d).
2*(d - 8)*(d + 1)/13
Let h(g) be the first derivative of 2*g**5/55 + 3*g**4/11 + 8*g**3/11 + 8*g**2/11 - 3. Factor h(y).
2*y*(y + 2)**3/11
Let a = 207589/4 + -51896. Let 5/4 - a*r**2 + 0*r = 0. What is r?
-1, 1
Let h be (6/(-15) + 0)/(15 + -16). Let f be 18/20 - (-1)/(-2). Determine d, given that 2/5*d**5 + h*d**2 + 0 + 4/5*d - f*d**4 - 6/5*d**3 = 0.
-1, 0, 1, 2
Let y(k) = 23*k**2 - 3*k + 2. Let t be y(-2). Let -15 - 110*p - 3*p**2 - t*p + 200*p + 8*p**2 = 0. What is p?
-1, 3
Let r(m) be the third derivative of -m**9/75600 + m**8/2100 - m**7/175 - 2*m**5/5 - 18*m**2. Let l(f) be the third derivative of r(f). Factor l(u).
-4*u*(u - 6)**2/5
Let j(d) = -9*d**2 - 95*d - 390. Let v(y) = -y**2. Let x(s) = -j(s) + 4*v(s). Factor x(f).
5*(f + 6)*(f + 13)
Let k = -6618037/7 + 947629. Let j = -2186 + k. Find b, given that 96/7*b**2 - 256/7*b + 100/7*b**4 + 320/7*b**3 + j = 0.
-2, 2/5
Suppose -5*g - 12 = -37. Factor 3*f**4 - 6*f**3 + 3*f + 7*f**2 + f**5 + 3 - 13*f**2 + f**g + f**5.
3*(f - 1)**2*(f + 1)**3
Let g = -20130 + 20133. Factor 588/5*u + 2744/5 + 42/5*u**2 + 1/5*u**g.
(u + 14)**3/5
Let i = 673/3 + -224. Let g(o) be the second derivative of 2/9*o**3 + i*o**2 + 0*o**4 - 1/45*o**6 - 1/15*o**5 + 0 + 4*o. Factor g(x).
-2*(x - 1)*(x + 1)**3/3
Let c(g) be the first derivative of g**7/420 - g**6/120 + g**5/120 + 2*g**2 + 14. Let i(w) be the second derivative of c(w). Let i(q) = 0. Calculate q.
0, 1
Let l be ((-8)/(-9))/(16/(-528)*-11). Suppose -8/3*x**3 - 2/3*x**4 + l + 8/3*x - 2*x**2 = 0. What is x?
-2, -1, 1
Let r(w) be the first derivative of 1/15*w**4 - 1/15*w**3 - 1/50*w**5 + 0*w**2 + 6 + w. Let k(g) be the first derivative of r(g). Factor k(n).
-2*n*(n - 1)**2/5
Let f be 51/90 - ((-3)/5 + 1). Let u(r) be the first derivative of -1/4*r**2 + r + 5 - f*r**3. Factor u(j).
-(j - 1)*(j + 2)/2
Find c, given that -5*c**2 + 7*c**2 - c**2 + c - 2*c**2 = 0.
0, 1
Solve 0*g**3 - 54*g + 30 - 3/2*g**4 + 51/2*g**2 = 0 for g.
-5, 1, 2
Solve 0*n + 8/3*n**2 + 0 + 10/3*n**4 - 2/3*n**5 - 16/3*n**3 = 0.
0, 1, 2
Let x be (-89 + 1)/2*(2 - 8). Solve 3 + 259*d**3 - 3 - x*d**3 + 5*d**2 = 0 for d.
0, 1
Factor -5*t**2 - 9*t - 2248 + 2488 - t.
-5*(t - 6)*(t + 8)
Let t = 107 + -60. Suppose 53*b**2 - 2*b**4 - 4*b - t*b**2 + 0*b**4 = 0. What is b?
-2, 0, 1
Factor -3/11 - 1/11*q**3 + 1/11*q + 3/11*q**2.
-(q - 3)*(q - 1)*(q + 1)/11
What is o in -14/3*o**3 + 32/3 - 4/3*o**2 - 1/3*o**4 + 1/3*o**5 + 40/3*o = 0?
-2, -1, 2, 4
Let 8/3 - 14/3*j - 4/3*j**4 - 2/3*j**5 - 4/3*j**2 + 16/3*j**3 = 0. What is j?
-4, -1, 1
Let w = -22840/3 - -7614. Factor u + 0*u**2 - 1/3*u**3 + w.
-(u - 2)*(u + 1)**2/3
Let o(h) be the third derivative of h**8/1008 + h**7/144 + h**6/48 + h**5/12 + 38*h**2. Let x(t) be the third derivative of o(t). Find j such that x(j) = 0.
-1, -3/4
Let r = -448 + 454. Let v(p) be the first derivative of -9/2*p**2 + p**3 + r*p - 7. Factor v(i).
3*(i - 2)*(i - 1)
Let g(h) be the first derivative of -1/12*h**2 - 3 + 0*h + 1/18*h**3. Determine a so that g(a) = 0.
0, 1
Let q = 14 + 11. Suppose 5*l - q + 5 = 0. Let o(p) = -p**2 - 2*p + 2. Let j(i) = -i**2 - i + 2. Let g(m) = l*o(m) - 6*j(m). Factor g(y).
2*(y - 2)*(y + 1)
Let t(r) be the second derivative of r**5/10 + 4*r**4 + 44*r**3/3 - r + 26. Determine a, given that t(a) = 0.
-22, -2, 0
Let u(p) be the first derivative of -p**6/36 + p**5/6 - 5*p**4/12 + 5*p**3/9 - 5*p**2/12 + p/6 + 68. Factor u(o).
-(o - 1)**5/6
Suppose -3*a - 6 - 18 = 0. Let s be -6*1/a - 3/12. Solve s*p**3 - 3/2*p + 1/4 + 2*p**2 + p**5 - 9/4*p**4 = 0 for p.
-1, 1/4, 1
Suppose 8*s = -7*