*t*(t - 1)*(t + 3)*(5*t - 2)
Solve -45*g**4 + 11*g**4 + 128 + 130*g + 30*g - 2*g**5 - 94*g**2 - 158*g**3 = 0 for g.
-8, -1, 1
Let s(y) = 2*y**4 + 2*y**3 - 16*y**2 - 9*y - 7. Let d(m) = m**4 + m**3 - 5*m**2 - 3*m - 2. Let j(p) = -7*d(p) + 2*s(p). Solve j(o) = 0 for o.
-1, 0, 1
Let u(j) be the third derivative of -7*j**5/25 - 27*j**4/40 - j**3/2 - 9*j**2 + 2. Suppose u(m) = 0. What is m?
-5/7, -1/4
Let b be 127/35 - 15/5. Let o = b - 3/7. Determine s, given that 1/5*s + 1/5 - 1/5*s**2 - o*s**3 = 0.
-1, 1
Let y(b) = 6*b**4 - 14*b**3 - 2*b**2 + 8*b + 5. Let t(x) = x**4 - 3*x**3 + x**2 + x + 1. Let u(v) = 3*t(v) - y(v). Suppose u(d) = 0. What is d?
-1, -1/3, 1, 2
Let x(b) be the third derivative of b**5/20 + 45*b**4/8 - 47*b**3 - 302*b**2. Factor x(h).
3*(h - 2)*(h + 47)
Let v(i) = -2*i + 1. Let a(s) = 3*s**2 + 207*s - 69. Let z(b) = -4*a(b) + 4*v(b). Factor z(m).
-4*(m + 70)*(3*m - 1)
Let y be 2 + 1 + 0 + 1. Suppose 0 = 2*m - y*m + 4. Let -6*p**2 - 19*p + 19*p + 3*p**m = 0. What is p?
0
Let p(w) be the second derivative of -68644*w**4/9 + 1048*w**3/9 - 2*w**2/3 - 588*w. Factor p(i).
-4*(262*i - 1)**2/3
Solve 302/5 + 298/5*g**2 - 2/5*g**3 + 602/5*g = 0 for g.
-1, 151
Let r(v) be the second derivative of v**5/20 - 19*v**4/12 + 40*v**3/3 + 50*v**2 + 14*v + 1. Factor r(u).
(u - 10)**2*(u + 1)
Let c(m) be the second derivative of 0 - 1/45*m**6 + 1/9*m**2 - 1/189*m**7 - 1/45*m**5 + 1/9*m**3 + 1/27*m**4 - 40*m. Factor c(y).
-2*(y - 1)*(y + 1)**4/9
Let s(v) = v**2 + v - 37. Let f be s(6). Factor -3/4*n**f - 13/4*n**4 - 7/4*n - 11/2*n**3 - 9/2*n**2 - 1/4.
-(n + 1)**4*(3*n + 1)/4
Suppose 52/9*h - 2/9*h**2 - 50/9 = 0. Calculate h.
1, 25
Let x = -1446 - -21694/15. Factor 2/5*k + 0*k**2 - x - 2/15*k**3.
-2*(k - 1)**2*(k + 2)/15
Suppose 3*c + 444 = -2*n, 4*n - 3*c + 525 = -399. Let l = n - -234. Factor -2/3*h**3 - 14/3*h**2 - l - 10*h.
-2*(h + 1)*(h + 3)**2/3
Let c = -3/50 - -11/100. Let z(w) be the second derivative of 1/12*w**4 + 0*w**2 + 0 - 1/3*w**3 + c*w**5 + 5*w. Factor z(t).
t*(t - 1)*(t + 2)
Let 0*r + 2/5*r**3 - 42/5*r**2 + 0 = 0. Calculate r.
0, 21
Determine q, given that 2/3*q**2 + 5/3*q**3 + 0 + 0*q + 4/3*q**4 + 1/3*q**5 = 0.
-2, -1, 0
Let y(n) be the first derivative of n**3 + n**2/2 + 1. Let d(h) = 6*h**2 + h. Let x(z) = -4*d(z) + 7*y(z). Solve x(j) = 0.
0, 1
Let u(i) be the second derivative of 10/3*i**3 - 21*i + 5/12*i**4 + 0*i**2 + 0. Factor u(m).
5*m*(m + 4)
Suppose 208/7 + 68/7*k**2 - 32*k - 4/7*k**3 = 0. Calculate k.
2, 13
Let x(c) be the first derivative of 13 + 21*c + 1/7*c**3 - 3*c**2. Solve x(r) = 0 for r.
7
Let g be (8*-1)/4 - 2. Let l be (12/(-42))/(g/7). Find a, given that -l - 1/4*a + 1/4*a**2 = 0.
-1, 2
Let u(n) be the first derivative of n**5/2 - 57*n**4/8 + 39*n**3/2 - 83*n**2/4 + 9*n - 55. Factor u(d).
(d - 9)*(d - 1)**2*(5*d - 2)/2
Let n = 319 + -315. Let v(o) be the first derivative of 1/12*o**6 + 1/4*o**n - 1/2*o - 1/3*o**3 + 3/10*o**5 - 3/4*o**2 - 7. Factor v(q).
(q - 1)*(q + 1)**4/2
Let j(u) = u**3 + 7*u**2 + 8*u - 2. Let t(g) = -6*g**3 - 35*g**2 - 40*g + 11. Let o(z) = -11*j(z) - 2*t(z). Solve o(f) = 0 for f.
-1, 0, 8
Suppose 7*q = 3*q + 3*l - 2, 2*q + 5*l = 12. Let n(s) be the first derivative of 1/5*s**5 - s**3 + 0*s**4 + s**2 + 0*s - q. Let n(i) = 0. Calculate i.
-2, 0, 1
Let h(p) be the second derivative of p**4/78 + 3*p**3/13 - 150*p. Find j, given that h(j) = 0.
-9, 0
Let n(x) be the first derivative of -x**9/1512 + x**8/420 - x**6/90 + x**5/60 + 3*x**3 + 7. Let m(p) be the third derivative of n(p). Solve m(z) = 0 for z.
-1, 0, 1
Let l(a) be the second derivative of a**6/10 + 3*a**5/20 - 3*a**4/4 - 5*a**3/2 - 3*a**2 - 80*a. Determine j so that l(j) = 0.
-1, 2
Let y = 15481/90 - 172. Let t(k) be the second derivative of y*k**4 + 0 - 4/45*k**3 + 3*k + 4/15*k**2. Find v such that t(v) = 0.
2
Let x(z) be the first derivative of -2*z**3/45 + 19*z**2/15 + 500. Determine f, given that x(f) = 0.
0, 19
Let s(w) be the second derivative of -w**6/15 - 183*w**5/10 - 2821*w**4/2 - 8281*w**3/3 - 92*w - 2. Find t, given that s(t) = 0.
-91, -1, 0
Let x(m) = m**3 + 5*m**2 - 7*m - 4. Let f be x(-6). Find c, given that 14*c + c**2 - 39 + 3*c**2 + 47 - f*c**3 = 0.
-1, 4
Let h be (4 - (17 - 1))/((-4)/6). Factor -2*d**4 - 4*d + 18 - h + 6*d**2.
-2*d*(d - 1)**2*(d + 2)
Let c(g) be the third derivative of g**7/560 + g**6/60 + g**5/20 - g**3 + 13*g**2. Let b(h) be the first derivative of c(h). Factor b(m).
3*m*(m + 2)**2/2
Let f(u) = -u**2 + 10*u + 14. Let l be f(11). Factor -3*x - 81*x**3 + 78*x**l - 5*x**2 + x.
-x*(x + 1)*(3*x + 2)
Let a(r) = 15*r**4 + 39*r**3 - 3. Let o(p) = p**5 - 15*p**4 - 40*p**3 + 2. Let m(u) = 2*a(u) + 3*o(u). Factor m(b).
3*b**3*(b - 7)*(b + 2)
Let i(r) be the first derivative of 16*r - 13 + 4/3*r**3 + 8*r**2. Factor i(k).
4*(k + 2)**2
Let w(l) be the third derivative of -l**8/224 + l**7/35 - l**6/16 + l**5/20 - 5*l**2 - 9. Let w(a) = 0. What is a?
0, 1, 2
Let m = -3183/4 - -796. Determine n so that 1/2*n + m*n**2 - 1/4*n**3 + 0 = 0.
-1, 0, 2
Let i(m) = -5*m**2 + 40*m. Let u(j) = -16*j**2 + 117*j. Let l(o) = -19*i(o) + 6*u(o). Factor l(v).
-v*(v + 58)
Let a(v) be the second derivative of v**6/60 - v**5/8 + v**4/4 + 5*v**3/6 - 7*v. Let z(w) be the second derivative of a(w). Suppose z(r) = 0. What is r?
1/2, 2
Let g(a) be the third derivative of a**5/140 - 8*a**4/7 + 512*a**3/7 - 2*a**2 - 28*a. Solve g(w) = 0 for w.
32
Suppose -25*c - 537 - 248 = -182*c. Factor 1/6*r + 1/3*r**2 + 0 - 1/6*r**c - 1/3*r**4 + 0*r**3.
-r*(r - 1)*(r + 1)**3/6
Suppose 9*q + 42 = 6*q. Let a(k) = 3*k**2 + 23*k + 8. Let w(j) = 16*j**2 + 116*j + 40. Let n(l) = q*a(l) + 3*w(l). Factor n(x).
2*(x + 4)*(3*x + 1)
Let t(d) be the second derivative of -3*d**5/40 - 45*d**4/8 - 132*d**3 - 363*d**2 - 2*d + 220. Solve t(z) = 0.
-22, -1
Let l(j) = -j**2 + 131*j + 540. Let t be l(-4). Let s(q) be the third derivative of 1/12*q**4 + t + 0*q - 2/21*q**3 - 1/42*q**5 - 8*q**2. Factor s(x).
-2*(x - 1)*(5*x - 2)/7
Let p(h) be the third derivative of 0*h**5 - 1/168*h**8 - 1/15*h**6 + 0*h**3 + 0*h + 10*h**2 + 0 + 0*h**4 + 4/105*h**7. Suppose p(x) = 0. What is x?
0, 2
Let m be 1/9*1680/112. Suppose -4*o + 2 = -3*o. Determine x, given that 20/3 + 25/3*x**o - m*x**3 - 40/3*x = 0.
1, 2
Let i(k) be the first derivative of -2*k**3 - 8*k**2 - 8*k + 33. Factor i(v).
-2*(v + 2)*(3*v + 2)
Suppose 55*u = 60*u - 15. Determine w, given that 0*w**2 + 0*w**2 - 5*w**4 - 15*w**u - 10*w**2 = 0.
-2, -1, 0
Let i = -10635 + 53176/5. Find g such that -2/5 + i*g**2 - 1/5*g = 0.
-1, 2
Find v such that -6/5*v**2 - 9/5*v + 0 - 1/5*v**3 = 0.
-3, 0
Let c(j) = -j**2 + 14*j - 42. Let i(f) = -f + 2. Let z(b) = c(b) + i(b). Let w be z(5). Factor 2/3*x**5 + 0 - 4/3*x**2 - 2*x**3 + 0*x + w*x**4.
2*x**2*(x - 2)*(x + 1)**2/3
Let f(n) be the second derivative of -250*n**2 - 1 - 5/12*n**4 + 3*n + 50/3*n**3. Factor f(b).
-5*(b - 10)**2
Let j(v) be the second derivative of v**6/15 + 8*v**5/5 + 7*v**4 + 40*v**3/3 + 13*v**2 - 2*v + 4. Solve j(i) = 0 for i.
-13, -1
Let y(w) = -17*w**3 - 218*w**2 - 2*w + 2. Let s(d) = 93*d**3 + 1089*d**2 + 11*d - 11. Let r(z) = -6*s(z) - 33*y(z). Solve r(f) = 0 for f.
-220, 0
Let l = 2181 - 2178. Let w(k) be the first derivative of k**4 + 4/5*k**5 - 4*k**l + 8*k - 2*k**2 - 6. Factor w(o).
4*(o - 1)**2*(o + 1)*(o + 2)
Let m(c) be the third derivative of 3*c**6/10 - 2*c**5/3 + c**4/6 - c**2. Suppose m(x) = 0. Calculate x.
0, 1/9, 1
Let b(s) = s**3 - 18*s**2 - 42*s + 42. Let n be b(20). Let g(v) be the first derivative of 1 - 3*v**n + 9*v + 1/3*v**3. Find q, given that g(q) = 0.
3
Let f(k) be the second derivative of -k**5/80 + k**4/24 + 5*k**3/24 - 3*k**2/4 - 159*k. Factor f(t).
-(t - 3)*(t - 1)*(t + 2)/4
Let n(g) be the third derivative of 2*g**3 + 9/20*g**5 + 0*g - 31*g**2 + 0 + 11/8*g**4 - 1/70*g**7 + 1/40*g**6. Factor n(i).
-3*(i - 4)*(i + 1)**3
Let s(h) be the third derivative of h**6/160 - h**5/40 - h**2 - 8*h. Let s(j) = 0. Calculate j.
0, 2
Let i be -1*(-2*7 + -2). Let x = -11 + i. What is m in 2*m**3 - 3*m**2 - 8*m**4 + 7*m**2 - 15*m - 6*m**x + 15*m = 0?
-1, 0, 2/3
Factor p - 84 + 76*p**2 - 2*p - 15*p - 77*p**2 - 3*p.
-(p + 7)*(p + 12)
Let h(f) be the first derivative of 45*f**4/4 + 145*f**3/3 + 60*f**2 + 20*f - 71. Factor h(r).
5*(r + 1)*(r + 2)*(9*r + 2)
Find t, 