*(n - 2)**3/7
Find o, given that -487*o**4 + 368 + 961*o**4 - 478*o**4 - 292*o**2 + 16*o**2 + 16*o - 104*o**3 = 0.
-23, -2, 1
Factor 42/5*f**2 - 3/5*f**3 + 0 - 147/5*f.
-3*f*(f - 7)**2/5
Let -1115*x + 3*x**2 + 23704 + 29004 + 17519 + 197*x + 0*x**2 = 0. What is x?
153
Let k(a) = -a + 3*a - 2 + 52*a**2 - 4*a. Let g be k(-1). Determine j so that -52 + g + 8*j**4 + 4*j**3 + 4*j**5 = 0.
-1, 0
Let n = -3/7184 + 14395/64656. Find i, given that -32*i**2 + 0 + 16/3*i**3 + 0*i - n*i**4 = 0.
0, 12
Let y be 2*26/(-416)*(-16)/5. Suppose -2/5*i + 4/5*i**2 + y*i**3 - 4/5 = 0. What is i?
-2, -1, 1
Let b(i) = -87*i**3 - 519*i**2 + 264*i - 18. Let r(x) = -43*x**3 - 259*x**2 + 131*x - 8. Let t(c) = 5*b(c) - 9*r(c). Factor t(p).
-3*(p + 6)*(4*p - 1)**2
Solve -7*t**3 - t**2 + 4*t**5 + 2*t**2 - t**2 + t**2 + 6*t - 3*t**5 - t**4 = 0.
-2, -1, 0, 1, 3
Let k(g) be the second derivative of -3*g**5/2 + 65*g**4/12 - 20*g**3/3 + 5*g**2/2 + 186*g. Factor k(f).
-5*(f - 1)**2*(6*f - 1)
Let t(f) be the second derivative of -f**6/60 + f**5/20 + f**4/24 - f**3/6 - 4*f + 6. Factor t(w).
-w*(w - 2)*(w - 1)*(w + 1)/2
Factor 1/4*j**2 - 3/2*j + 9/4.
(j - 3)**2/4
Suppose 9*h**3 + 8*h + 0*h**2 - 4*h**4 + 4*h**2 + 0*h**2 - 17*h**3 = 0. Calculate h.
-2, -1, 0, 1
Suppose 4*c - 33 - 7 = 0. Determine p, given that -4*p**3 + c*p**3 - p**4 - 4*p**3 - p**2 = 0.
0, 1
Let c = 330 - 328. Suppose -4*z = -2*z - 5*z. Factor -1/6*s**c + 0 + z*s.
-s**2/6
Let q(i) be the second derivative of -i**4/12 + i**3/3 + 24*i**2 - i + 104. Factor q(z).
-(z - 8)*(z + 6)
Let d be ((1 + 0/(-1))/(-4))/(5026/(-11488)). Let 0 - 16/7*k - d*k**2 = 0. What is k?
-4, 0
Suppose -h = 4*h, -4*u - 2*h + 188 = 0. Let z = u + -27. Find n such that 3 + z*n**2 + 14*n + 1 + 8*n**3 + 2*n = 0.
-1, -1/2
Let p(i) be the first derivative of -i**6/30 + i**5/10 - i**4/12 + 21*i**2/2 - 6. Let c(y) be the second derivative of p(y). Determine n so that c(n) = 0.
0, 1/2, 1
Let l(x) = -x**2 - 6*x. Let h be l(-7). Let k = -2 - h. Factor -2*a**5 + k*a**5 + 0*a**5 + 9*a**4 + 6*a**3.
3*a**3*(a + 1)*(a + 2)
Let r be (24/8)/(6/4). Let x(q) = q**2. Let d be x(r). Factor -2/5*h**2 + 0 + 0*h - 4/5*h**3 - 2/5*h**d.
-2*h**2*(h + 1)**2/5
Let b be 1/10*-4*-10. Let k be (2 - b) + -1 + 3. Factor -3/2*n**2 + 0 + k*n.
-3*n**2/2
Let p(r) = -2*r**2 - 20*r + 4. Let l(j) = -2*j**2 - 22*j + 5. Let q(g) = 4*l(g) - 5*p(g). Solve q(w) = 0.
-6, 0
Suppose -n = 4*a - 30 + 23, -3*a + 3*n = -24. Let w(v) = v + 1. Let y be w(3). Determine x, given that 3/5*x**y + 0*x**2 + 0 - 3/5*x**a + 0*x = 0.
0, 1
Let n(z) = z**2 - 2*z - 29. Let k be n(8). Let -34*l + 34*l - k*l**3 - 4*l**2 - 21*l**4 = 0. What is l?
-4/7, -1/3, 0
Let p(f) be the third derivative of -f**8/55440 + f**7/5544 - f**6/1980 - f**5/20 - f**2. Let v(o) be the third derivative of p(o). Factor v(k).
-2*(k - 2)*(2*k - 1)/11
Let w be -1*(1/(-1) + 14). Let h = -11 - w. Factor -6*a**h + 9*a**2 + 0*a - 6*a + 3.
3*(a - 1)**2
Let p(z) be the third derivative of -z**8/672 + 2*z**7/105 + z**6/48 - 47*z**5/30 + 31*z**4/3 - 80*z**3/3 + 643*z**2. Let p(y) = 0. Calculate y.
-5, 1, 4
Let m(w) be the third derivative of -1/195*w**5 + w**2 + 0 + 1/780*w**6 + 0*w - 1/39*w**4 + 8/39*w**3. Determine j, given that m(j) = 0.
-2, 2
Let i = 1304 + -1299. Let t(n) be the third derivative of 0*n + 0 - 5*n**2 + 3/4*n**3 - 1/8*n**4 - 1/40*n**i. Factor t(w).
-3*(w - 1)*(w + 3)/2
Factor 468/7*l**2 + 27/7*l**3 + 84*l + 192/7.
3*(l + 16)*(3*l + 2)**2/7
Factor 49*k**4 - 97*k**4 + 390*k**5 + 120*k**3 - 112*k**2 - 386*k**5 + 36*k.
4*k*(k - 9)*(k - 1)**3
Let f be ((-132)/168)/11*-49. Determine g so that -f*g**2 - 37/2*g - 5 = 0.
-5, -2/7
Let y(p) be the third derivative of -p**5/30 + 7*p**4/12 - 2*p**3 - 113*p**2. Suppose y(j) = 0. Calculate j.
1, 6
Suppose -5*z - 67 = 4*t - 4*z, -3*t - 4*z = 47. Let d = t + 19. Factor 0*w**2 + 4*w + 4*w**d + 2 - 10*w**2.
-2*(w - 1)*(3*w + 1)
Let 2/5*h**4 + 24/5 + 8/5*h - 18/5*h**2 + 0*h**3 = 0. What is h?
-3, -1, 2
Let b(w) be the third derivative of -w**7/15120 - w**6/1440 + w**5/180 + 7*w**4/12 + w**3/6 + 8*w**2. Let a(o) be the second derivative of b(o). Factor a(t).
-(t - 1)*(t + 4)/6
Let o(n) be the third derivative of n**5/240 - 59*n**4/96 - 5*n**3/2 + 30*n**2 + 4*n. Suppose o(t) = 0. Calculate t.
-1, 60
Let v(c) = -4*c**4 + 5*c**3 - c**2 + 5*c + 5. Let s(o) = 2*o**4 - 2*o**3 - 2*o - 2. Let k(b) = 5*s(b) + 2*v(b). Find p, given that k(p) = 0.
-1, 0, 1
Factor 49*o**4 + 30*o**4 - 42*o**4 + 33*o**4 + 5*o**5 + 120*o**3.
5*o**3*(o + 2)*(o + 12)
Let t(h) be the second derivative of h**7/504 - 5*h**6/72 + 25*h**5/24 + h**4/12 - 10*h**2 - 8*h + 1. Let a(j) be the third derivative of t(j). Factor a(x).
5*(x - 5)**2
Let t be (-10 - -10) + 6/40. Let x(h) be the second derivative of -3*h + 0*h**2 + h**3 + 0 + t*h**5 + 3/4*h**4. Find n such that x(n) = 0.
-2, -1, 0
Let v = 3024 - 3019. Factor -3*z**4 + 0 - 3/5*z**v - 6/5*z - 27/5*z**3 - 21/5*z**2.
-3*z*(z + 1)**3*(z + 2)/5
Let d(u) be the first derivative of -u**5/30 + u**3/18 - 135. Factor d(g).
-g**2*(g - 1)*(g + 1)/6
Suppose -10 = 2*m + 4*x, 2*m = 7*m - 4*x - 17. Let f be (2/(-2))/(m/(-3)). Solve -5 + f*j**2 - 6 - 9*j + 11 = 0 for j.
0, 3
Let g(t) be the first derivative of 0*t**2 + 10 + 0*t + 3/2*t**4 - 3/5*t**5 + 0*t**3 - 1/2*t**6. Find s, given that g(s) = 0.
-2, 0, 1
Let q(j) be the third derivative of -j**5/210 - j**4/14 + j**3/3 - 393*j**2. Let q(u) = 0. Calculate u.
-7, 1
Suppose 555*l = 468*l. Suppose 2/15*j**2 + l + 4/5*j = 0. What is j?
-6, 0
Let p(y) = -y**2 + 24*y - 26. Let l(s) = -s. Let f(w) = -15*l(w) + 5*p(w). Factor f(g).
-5*(g - 26)*(g - 1)
Let l(h) = 3*h - 4*h - 5 + 17 + 0*h. Let f be l(10). Suppose 1/2*a**3 - 1/2*a + 1/4 + 0*a**f - 1/4*a**4 = 0. What is a?
-1, 1
Let a be (-2 + 8 + 4280/(-700))/((-10)/25). Factor 0 + 1/7*s**4 - 3/7*s**3 - 1/7*s**2 + a*s + 1/7*s**5.
s*(s - 1)**2*(s + 1)*(s + 2)/7
Let m(y) be the second derivative of -y**4/8 - 29*y**3 - 2523*y**2 + 276*y. Factor m(s).
-3*(s + 58)**2/2
Let p(x) be the third derivative of -23/12*x**4 + 0*x + 0 - 3/10*x**6 - 16/15*x**5 + 16*x**2 - 2/105*x**7 - 2*x**3 + 1/168*x**8. What is m in p(m) = 0?
-1, 6
Solve 2/13*f**3 + 192/13*f + 36/13*f**2 + 320/13 = 0 for f.
-10, -4
Let u(i) = -23*i**2 + 91*i + 6. Let f be u(4). Factor -3/8*d**3 + 15/8*d**f - 3/2*d + 0.
-3*d*(d - 4)*(d - 1)/8
Suppose -3*u = -3*x + 1 - 19, 3*u + 3*x = -6. Let o(y) be the first derivative of -10/9*y**3 + 2/3*y**4 - 2/15*y**5 + 4 + 0*y + 2/3*y**u. What is r in o(r) = 0?
0, 1, 2
Suppose -4*l - 5*i = -18, 2*l = -l + 3*i. Factor 20 + 46*o + 5*o**l - 24*o - 2*o.
5*(o + 2)**2
Suppose 0 = 4*l + 3*v + 8, -2*l - 2*v - 139 = -131. Factor 9/2*c**2 + 0 + 7/4*c**l + 33/4*c**3 - 2*c.
c*(c + 1)*(c + 4)*(7*c - 2)/4
Let i(a) be the third derivative of 5*a**5/12 - 5*a**4/6 + 2*a**3/3 + 497*a**2. Factor i(g).
(5*g - 2)**2
Let c(d) be the first derivative of 1/2*d**3 + 1/20*d**5 + 0*d - 9/2*d**2 - 5 - 1/4*d**4. Let q(j) be the second derivative of c(j). What is z in q(z) = 0?
1
Let v(r) be the third derivative of r**8/84 - 2*r**7/21 + 3*r**6/10 - 7*r**5/15 + r**4/3 - 206*r**2. Find c such that v(c) = 0.
0, 1, 2
Let k = 326 + -320. Let x be (-2)/k*-4*(-132)/(-88). Factor -2/5*h - 4/15 - 2/15*h**x.
-2*(h + 1)*(h + 2)/15
Suppose -41 = -8*y + 143. Suppose -2*r = 17 - y. Let -1/2*x + 0 - x**2 - 1/2*x**r = 0. What is x?
-1, 0
Let c be 1/3*90/60*824. Let k(q) = 3*q**2 - 1. Let g be k(-1). Determine l, given that g + c*l - 2 - 420*l + 4*l**2 = 0.
0, 2
Let m = -27 - -27. Suppose 4*u = o - m*u - 3, -5*o = -4*u - 15. Find i such that -3/2*i**2 + 0 + i - 5/2*i**o = 0.
-1, 0, 2/5
Let c be (-345)/(-189) + -2 + 24/84. Let v(g) be the second derivative of 0*g**2 + 0*g**4 + 1/30*g**5 + 0 - c*g**3 - 3*g. Factor v(x).
2*x*(x - 1)*(x + 1)/3
Let y(v) be the third derivative of 0*v + 1/70*v**7 + 0 - 18*v**3 + 3/2*v**4 + 7/4*v**5 + 33*v**2 - 3/10*v**6. Factor y(i).
3*(i - 6)**2*(i - 1)*(i + 1)
Let r(u) = -u + 19. Let g be r(12). Let v = g - 7. Suppose v - 2 + 4*n - 6*n**2 + 4*n**2 = 0. Calculate n.
1
Let n(f) be the first derivative of -f**4/30 - f**3/15 - 7*f + 12. Let j(c) be the first derivative of n(c). Factor j(d).
-2*d*(d + 1)/5
Solve 32/3*f**2 + 96 - 2/3*f**3 - 56*f = 0 for f.
4, 6
Let a(q) be the third derivative of -q**7/42 - 9*q**6/40 - q**5/2 - q**4/3 - 1