- 9. Let r be i(-7). Factor -6/5*y**4 - 6/5*y**3 + 0 - 2/5*y**2 - 2/5*y**r + 0*y.
-2*y**2*(y + 1)**3/5
Let g(h) be the third derivative of 0*h + 1/1176*h**8 + 0*h**5 + 4*h**2 + 0*h**7 + 0*h**4 + 0 + 0*h**3 - 1/420*h**6. Factor g(u).
2*u**3*(u - 1)*(u + 1)/7
Let j be (84/8)/7*-2. Let u(n) = n**4 - n**2 - 1. Let r(h) = 2*h**4 - 8*h**3 - 21*h**2 + 24. Let g(o) = j*u(o) + r(o). Factor g(w).
-(w - 1)*(w + 3)**3
Let x(f) be the third derivative of -f**7/105 - f**6/10 - 2*f**5/5 - 2*f**4/3 + 10*f**2. Find g such that x(g) = 0.
-2, 0
Let q(a) be the third derivative of a**5/30 + 2*a**4/3 + 16*a**3/3 + 4*a**2. Suppose q(w) = 0. Calculate w.
-4
Let l = 575 + -571. Find f such that -f**2 - 2/3*f**3 + 4/3*f + 4/3 + 1/3*f**l = 0.
-1, 2
Let g be 4/((-1 - 0)/(-8)). Let v be ((-24)/g)/((-2)/4). Factor 1/2*a**2 + 1 - v*a.
(a - 2)*(a - 1)/2
Let w(t) be the second derivative of -1/50*t**5 + 1/15*t**3 + 0*t**2 + 0 - 8*t - 1/75*t**6 + 1/30*t**4. Factor w(b).
-2*b*(b - 1)*(b + 1)**2/5
Let j(a) be the third derivative of a**5/150 + 11*a**4/60 + 2*a**3/3 - 15*a**2. Suppose j(i) = 0. What is i?
-10, -1
Let a(y) = 4*y**4 + 7*y**3 + 3*y**2 + 7*y - 2. Let j(o) = o**4 + o**3 - o**2 + o - 1. Suppose -c = 4*c - 15. Let x(f) = c*j(f) - a(f). Factor x(i).
-(i + 1)**4
Let d(b) be the first derivative of 2/9*b**3 + 0*b + 2 - 1/3*b**2. Factor d(k).
2*k*(k - 1)/3
Let f = -269 + 273. Let 2/11*q**f + 0*q + 2/11*q**3 - 2/11*q**2 - 2/11*q**5 + 0 = 0. Calculate q.
-1, 0, 1
Let k(j) = -j - 2 - 2*j**3 + 1 - 4*j**2 + j**3. Let n be k(-4). Factor q**3 - 2*q + 4*q**2 + 2*q**3 - 5*q**n.
-2*q*(q - 1)**2
Let c = -28/11 - -151/55. Suppose 2*s + 1 = 9. Factor 0*o**3 + 0*o - 1/5*o**2 + c*o**s + 0.
o**2*(o - 1)*(o + 1)/5
Let a(b) be the second derivative of b**8/672 + b**7/105 + b**6/40 + b**5/30 + b**4/48 + b**2 - 3*b. Let w(h) be the first derivative of a(h). Factor w(j).
j*(j + 1)**4/2
Let x(h) = h**2 - 3*h. Let l be x(4). Let t(v) = -v**2 + 6*v - 3. Let b be t(l). Factor b + 1 + 2*u**2 - 4*u - 5 - 3*u**2 + 4*u**3.
(u - 1)*(u + 1)*(4*u - 1)
Let h = 329/5 + -63. Determine w so that -2*w**2 + h*w - 4/5 = 0.
2/5, 1
Let m(i) be the second derivative of i**4/60 - i**3/10 + i**2/5 - 11*i. Factor m(q).
(q - 2)*(q - 1)/5
Let v(z) = -z**3 + 17*z**2 - 16*z + 3. Let j be v(16). Let c(x) be the second derivative of 0*x**j + 0 + 0*x**4 + 0*x**5 - 1/45*x**6 - x + 0*x**2. Factor c(d).
-2*d**4/3
Let x = 39 - 39. Let f(b) be the second derivative of 0*b**3 + 0*b**4 + 3*b + 0 + x*b**6 - 1/50*b**5 + 1/105*b**7 + 0*b**2. Factor f(y).
2*y**3*(y - 1)*(y + 1)/5
Let p(d) be the third derivative of -d**6/600 - d**5/150 + d**4/40 - 46*d**2. Factor p(t).
-t*(t - 1)*(t + 3)/5
Let n(i) be the second derivative of -i**10/105840 + i**8/23520 - i**4/12 - 3*i. Let v(u) be the third derivative of n(u). Factor v(y).
-2*y**3*(y - 1)*(y + 1)/7
Let g = -264 - 3176. Let v = -24008/7 - g. What is c in -60/7*c**2 - 16/7 + 2*c**3 + v*c = 0?
2/7, 2
Let o(k) be the second derivative of -343*k**5/10 + 49*k**4/3 + 28*k**3/3 - 8*k**2 + 34*k. Solve o(q) = 0.
-2/7, 2/7
Let w(k) = k + 6. Let u be w(-8). Let j = 4 + u. Determine h so that -2*h**3 - 2*h**j + 0*h**2 + 4*h**2 = 0.
0, 1
Find u such that 2/5*u**2 + 8/5 - 8/5*u = 0.
2
Let a(d) be the first derivative of 16*d**5/25 - 4*d**4/5 - d**3/15 + d**2/10 + 2. Find f such that a(f) = 0.
-1/4, 0, 1/4, 1
Let r(s) be the third derivative of 2/35*s**7 + 0 + 0*s + 3/20*s**6 - 1/5*s**5 - 5/112*s**8 - 7*s**2 - 1/8*s**4 + 0*s**3. Find k such that r(k) = 0.
-1, -1/5, 0, 1
Factor 4/7*p - 2/7*p**2 - 2/7*p**3 + 0.
-2*p*(p - 1)*(p + 2)/7
Let f(m) be the first derivative of -m**4/8 - m**3/4 - m**2/8 + 4. Find i, given that f(i) = 0.
-1, -1/2, 0
Suppose 0*q - 3*q - 21 = s, -5*q - 35 = -s. Let k be -4 - (q + 2 + -3). Find h such that -2*h**3 + 0*h + 2/3*h**2 + 2*h**k + 0 - 2/3*h**5 = 0.
0, 1
Let q(o) be the first derivative of 0*o - 1/6*o**2 - 2 + 1/9*o**3. Find l such that q(l) = 0.
0, 1
Let r(b) be the first derivative of 2*b**5/15 + b**4/6 - 10*b**3/9 + b**2 - 21. Suppose r(s) = 0. Calculate s.
-3, 0, 1
Let n = -13 + 13. Find g such that -2/9*g**3 + 4/9 + 2/3*g + n*g**2 = 0.
-1, 2
Let q = 143634/53 + -2710. Let u = q - -249/212. Determine a, given that 1 + u*a**2 - 3*a = 0.
2/5, 2
Let g(q) be the second derivative of q**6/45 + q**5/6 + 4*q**4/9 + 4*q**3/9 - 2*q. Factor g(k).
2*k*(k + 1)*(k + 2)**2/3
Let m(r) be the third derivative of 0*r**3 + 1/8*r**4 - 1/10*r**7 + 0*r - 1/28*r**8 + 0 + 11/40*r**5 + r**2 + 9/80*r**6. Suppose m(l) = 0. Calculate l.
-2, -1/2, -1/4, 0, 1
Let u(g) be the third derivative of -g**5/100 + g**4/40 + g**3/5 - 7*g**2. Factor u(t).
-3*(t - 2)*(t + 1)/5
Let w(j) be the third derivative of -1/30*j**5 + 0*j**3 + 0*j + 0*j**4 + 1/105*j**7 + 0*j**6 + 0 + 3*j**2. Suppose w(z) = 0. Calculate z.
-1, 0, 1
Let i be (5/(-20))/((-2)/2). Let h(s) be the first derivative of -i*s**2 + 1/4*s + 1 + 1/12*s**3. Factor h(p).
(p - 1)**2/4
Let f be ((-8)/6)/2 - (-152)/156. Solve -2/13 - f*u - 2/13*u**2 = 0.
-1
Let v(y) be the second derivative of y**8/336 + y**7/210 - y**6/120 - y**5/60 - y**2/2 + 2*y. Let w(d) be the first derivative of v(d). Factor w(m).
m**2*(m - 1)*(m + 1)**2
Let t(m) be the third derivative of 1/108*m**4 + 0*m + 0*m**6 + 0 + 0*m**3 + 1/135*m**5 - 2/945*m**7 - 3*m**2 - 1/1512*m**8. Factor t(b).
-2*b*(b - 1)*(b + 1)**3/9
Let t(y) be the third derivative of 0*y**4 + 0*y**5 + 0*y + 0 + 0*y**3 + 1/105*y**7 + 0*y**6 - 1/168*y**8 + 2*y**2. Let t(n) = 0. What is n?
0, 1
Let j be (-4)/(-9) + 14/63. Suppose -3*y - 5*s = -25, 0*s + 7 = 3*y - 4*s. Let -2/3*r**4 + 8/3 + j*r**2 + 10/3*r**3 - 2/3*r**y - 16/3*r = 0. What is r?
-2, 1
Let a = 16 - 13. Factor -5*l**2 - 2*l - 3*l**4 + 8*l**2 + a*l**3 - l.
-3*l*(l - 1)**2*(l + 1)
Let l(c) be the first derivative of c**4/18 + 2*c**3/9 - 10. Let l(h) = 0. Calculate h.
-3, 0
Let q(o) be the first derivative of -14*o**3/33 + 26*o**2/11 + 16*o/11 - 8. Determine u, given that q(u) = 0.
-2/7, 4
Determine z, given that -1/2*z**5 + 10*z - 2*z**4 + 4 - 1/2*z**3 + 7*z**2 = 0.
-2, -1, 2
Factor -11*v - 14*v - 11 + 4*v**2 - 9 + 9*v.
4*(v - 5)*(v + 1)
Let t be -15 + (2/(-1) - -4). Let j = -8 - t. Factor -5*c**5 + 0*c**5 - 2*c**j + 2*c**4.
-c**4*(7*c - 2)
Let a(o) be the second derivative of -1/6*o**3 - 3/4*o**2 - 4*o - 1/72*o**4 + 0. Factor a(x).
-(x + 3)**2/6
Let q be 4 - 2/(-3)*-6. Let 2/5*p**4 + q + 2/5*p**2 + 0*p + 4/5*p**3 = 0. Calculate p.
-1, 0
Let j(m) be the first derivative of 0*m**3 + 3/5*m**2 - 3 - 1/10*m**4 - 4/5*m. Factor j(g).
-2*(g - 1)**2*(g + 2)/5
Let k(o) be the first derivative of o**2 - 1/3*o**3 + 0*o - 4. Factor k(z).
-z*(z - 2)
Suppose 16 = 2*m - 6*m. Let z be 12/(-16) + (-15)/m. Determine u so that 0*u - z*u**2 + u**3 + 4*u - u - 1 = 0.
1
Let c be 105/(-560)*(-8)/6. Suppose 1/4*x + 0 + 0*x**2 - c*x**3 = 0. What is x?
-1, 0, 1
Let y(q) be the first derivative of 2*q**3/3 + 4*q**2 + 6*q - 6. Suppose y(z) = 0. Calculate z.
-3, -1
Suppose -3*x + 9 = 3*p + 3, -4*x + 8 = p. Let j = -20 + 20. Factor -1/4*l**3 + j - 1/2*l**x - 1/4*l.
-l*(l + 1)**2/4
Let y(v) = -v**3 - 9*v**2 + 2. Let n be y(-9). Suppose 2*s = 3*u - 12, -n*s - s + 4 = u. Find g, given that 1/2*g**3 + 0 + 1/2*g**5 + s*g**2 + 0*g - g**4 = 0.
0, 1
Factor -6 + 28 - 6*h**2 + 0 + 2 + 36*h - 9*h**3.
-3*(h - 2)*(h + 2)*(3*h + 2)
Let i(h) = 2*h**4 - 6*h**3 - 6*h**2 - h - 3. Let f(j) = 7*j**4 - 24*j**3 - 25*j**2 - 5*j - 11. Let d(l) = -6*f(l) + 22*i(l). Factor d(w).
2*w*(w + 1)**2*(w + 4)
Let n(x) be the first derivative of 4*x**3/9 - 14*x**2/3 + 40*x/3 + 5. Factor n(q).
4*(q - 5)*(q - 2)/3
Let h be 4/((-6)/3 + 3). Let v(j) = -j**3 + 5*j**2 - 4*j + 2. Let a be v(h). Factor 1/3*s**a + 2/3*s + 0.
s*(s + 2)/3
Suppose -4*w - 5*h - 8 = -40, 3*w - h = 5. Let f(r) be the second derivative of -1/6*r**w + 0 + 1/4*r**2 + 1/24*r**4 + 3*r. Suppose f(z) = 0. Calculate z.
1
Factor 14*k**3 - 81 - k**4 - 144*k - 49*k**2 + 10*k**2 - 7*k**2 + 2*k**3.
-(k - 9)**2*(k + 1)**2
Let c be 2/16 + (-507)/(-104). Suppose -4*u + 4 = z + 5, c*u = z - 8. Factor -2*d + 4/5 + 4/5*d**z + 2/5*d**2.
2*(d - 1)*(d + 2)*(2*d - 1)/5
Let t(v) be the third derivative of v**5/330 + v**4/66 + v**3/33 - 12*v**2. Suppose t(g) = 0. What is g?
-1
Let g(c) be the second derivative of c**7/42 - c**5/20 + 2*c. Factor g(o).
o**3*(o - 1)*(o + 