w**5 - 1/9*w**6 + w**2. Factor y(j).
-2*(j - 1)*(j + 1)**4/3
Find t, given that -16*t + 16*t**2 - 32*t**2 - 66 + 18*t**2 = 0.
-3, 11
Let w = -30 + 33. Solve -3*j + 8*j - 11*j - 9*j**2 - 3*j**w = 0.
-2, -1, 0
Let g = 0 - -10. Factor 2*z**4 + 2 - 3*z**2 - g*z + 12*z + 2*z**5 - z**2 - 4*z**3.
2*(z - 1)**2*(z + 1)**3
Find t such that 33600*t + 3/4*t**4 + 3240*t**2 + 87*t**3 - 192000 = 0.
-40, 4
Let g(q) be the third derivative of -q**9/12096 - q**8/4032 - 11*q**5/60 - 3*q**2. Let o(z) be the third derivative of g(z). Find i such that o(i) = 0.
-1, 0
Suppose g - 3*g = 0. Let m be (-86)/215*((2 - 1) + 3/(-2)). Factor g + 1/5*i**2 - m*i.
i*(i - 1)/5
Suppose 3*o = 3, l - 2*l + 4*o = 4. Let v(m) be the first derivative of 0*m**3 + l*m**2 + 3/4*m**4 + 0*m - 5. Determine b, given that v(b) = 0.
0
Let a = -106 - -111. Let f(x) be the third derivative of 1/300*x**a + 1/30*x**3 + 0*x - 1/60*x**4 + 0 + x**2. Factor f(t).
(t - 1)**2/5
Let v be (-11)/(-66) + (-1)/(-8). Let y(x) be the third derivative of -1/3*x**3 + 0*x + 6*x**2 + v*x**4 + 0 + 3/20*x**5. Let y(k) = 0. What is k?
-1, 2/9
Determine b so that 120*b - 23*b**3 - 32*b**3 - 111*b**2 + 36 - 39*b**4 - 2*b**3 + 51*b**4 = 0.
-2, -1/4, 1, 6
Let w = 2 - 0. Let y(i) = 43*i + 219. Let u be y(-5). Factor 396/7*p**w - 192/7*p**u + 9/7 - 432/7*p**3 - 15*p.
-3*(p + 3)*(4*p - 1)**3/7
Let j = 8607/12040 + -1/1720. Solve t - 1/7*t**4 - 2/7 + j*t**3 - 9/7*t**2 = 0 for t.
1, 2
Let f = -62 - -60. Let h be (-28)/(-40) + (f - (-9)/5). Factor -1/2*i**2 + 0 + h*i.
-i*(i - 1)/2
Let o be ((-2)/16)/(-293 - -292). Solve -1/4 + o*t - 1/4*t**4 + 1/8*t**5 + 1/2*t**2 - 1/4*t**3 = 0 for t.
-1, 1, 2
Let -60 + 1614*p**4 + 56*p**2 - 2*p + 32*p**3 - 1610*p**4 - 28*p - 2*p = 0. Calculate p.
-5, -3, -1, 1
Let j be (0*11/(-132))/(1 + 3). Factor 6/11*h**5 - 4/11*h**3 + 2/11*h**4 + 0*h + 0 + j*h**2.
2*h**3*(h + 1)*(3*h - 2)/11
Let z(n) = -n**3 - 2*n**2 - 2*n - 2. Let c be z(-2). Let m(g) be the second derivative of 1/9*g**4 + 1/3*g**c + 1/60*g**5 - 8*g + 5/18*g**3 + 0. Factor m(l).
(l + 1)**2*(l + 2)/3
Let t = -113 + 264. Let k = -753/5 + t. Factor 2/15*h**2 + 4/15 - k*h.
2*(h - 2)*(h - 1)/15
Let i = 248/7 + -985/28. Find z, given that 1/4*z**3 + 0*z**2 + 0 - i*z = 0.
-1, 0, 1
Let r(y) = y**3 + 13*y**2 - 24*y. Let b(l) = -2*l**3 - 25*l**2 + 52*l. Let d(f) = -6*b(f) - 13*r(f). What is t in d(t) = 0?
-19, 0
Let r(t) = -3*t**2 + 81*t - 75. Let u be r(26). Suppose -1/2 - 1/2*g**5 - 1/2*g**4 + g**u - 1/2*g + g**2 = 0. Calculate g.
-1, 1
Suppose 0 = -4*a - 2*c + 46, -2*a + 25 - 4 = 3*c. Suppose 2*u - a = -2*u. Suppose 43*y**2 + 30*y**u - 5 + 0 - 11 + 8*y + 25*y**2 = 0. What is y?
-2, -2/3, 2/5
Let p = 286 + -292. Let s(g) = 16 - 1 + 6*g**3 + 22 - 5*g**2 + 0*g**3. Let v(a) = -a**3 + a**2 - 6. Let q(u) = p*s(u) - 39*v(u). Factor q(m).
3*(m - 2)**2*(m + 1)
Let i(z) be the second derivative of -5/6*z**3 - 7/12*z**4 + 20*z + z**2 + 0. Factor i(v).
-(v + 1)*(7*v - 2)
Let u be 0/(12/(42/(-7))). Let t(k) be the third derivative of 1/42*k**4 - 1/210*k**5 + u*k**3 - 3*k**2 + 0 + 0*k. Determine y, given that t(y) = 0.
0, 2
Let q(k) = -5*k**3 - 157*k**2 - 6244*k - 6084. Let m(o) = -11*o**3 - 314*o**2 - 12489*o - 12168. Let n(d) = -4*m(d) + 9*q(d). Let n(p) = 0. Calculate p.
-78, -1
Let n(t) = -4*t**3 + 5*t**2 + 12*t - 8. Let i(j) = 2*j**3 - 2*j**2 - 6*j + 4. Suppose -1 = -z, -l = -2*l - 4*z + 14. Let m(o) = l*i(o) + 4*n(o). Factor m(h).
4*(h - 1)**2*(h + 2)
Let z(b) = -5*b**2 - 5*b + 6. Let v(n) = -30*n**2 - 30*n + 35. Let r = -30 - 5. Let h(m) = r*z(m) + 6*v(m). Factor h(q).
-5*q*(q + 1)
Let s(u) be the third derivative of -u**7/2100 + u**6/450 + 2*u**3 + 10*u**2. Let p(n) be the first derivative of s(n). Factor p(h).
-2*h**2*(h - 2)/5
Let g(y) be the first derivative of -2*y**3/39 - 5*y**2/13 + 56. Determine i, given that g(i) = 0.
-5, 0
Let i be (-2 + (-141)/(-27))*3. Let z = 227/21 - i. Let z*t**4 + 4/7*t**5 + 0*t**2 + 0 + 0*t + 0*t**3 = 0. What is t?
-2, 0
Let d(a) be the second derivative of -a**5/12 + 5*a**3/6 - 5*a**2/3 + 16*a - 1. Factor d(s).
-5*(s - 1)**2*(s + 2)/3
Let y(i) = 12*i**2 - i - 1. Let z be y(-1). Let n be 17/7 - 9/21. Factor -2*c + 4*c**3 + z*c**2 - 5*c**n - 3*c**3 - 3*c**3 - 3*c**4.
-c*(c - 1)*(c + 2)*(3*c - 1)
Let c(z) be the second derivative of -z**4/24 + 7*z**3/36 - z**2/6 + 239*z. Find v, given that c(v) = 0.
1/3, 2
Let g(l) = l**5 - l**4 + 3*l**3 - l**2 - 1. Let r(k) = 2*k**5 - 15*k**3 - 51*k**2 - 47*k - 16. Let o(t) = -g(t) + r(t). Factor o(d).
(d - 5)*(d + 1)**3*(d + 3)
Let g(a) be the third derivative of 1/30*a**5 + 0*a + 0*a**4 + 0 + 0*a**3 - 1/120*a**6 - 5*a**2. Factor g(l).
-l**2*(l - 2)
Let a be ((-9)/4)/((-19)/(532/21)). Determine y so that -3/8*y + 39/8*y**a + 15/8*y**4 - 3/4 + 27/8*y**2 = 0.
-1, 2/5
Let k be ((-20)/28 - -1)*7. What is s in 25*s - 3*s**2 - 9*s + 0*s**k + 7*s**2 + 16 = 0?
-2
Let r(p) be the first derivative of p**6/24 - 5*p**5/4 + 105*p**4/8 - 245*p**3/6 - 23*p**2/2 + 21. Let x(o) be the second derivative of r(o). Solve x(g) = 0.
1, 7
Let i(p) = 3 + 20*p**2 - 13*p**2 - 2*p - 6*p. Let f(u) = 24*u**2 + u. Let k be f(1). Let g(d) = 55*d**2 - 65*d + 25. Let n(b) = k*i(b) - 3*g(b). Factor n(x).
5*x*(2*x - 1)
Let f(z) be the second derivative of z**7/1050 - z**5/150 + z**3/30 + 15*z**2/2 + 6*z. Let h(b) be the first derivative of f(b). Find s, given that h(s) = 0.
-1, 1
Let t be 10/(-40) + 2/((-8)/(-73)). Let i(q) = -2*q**3 + 2*q**2 + 9*q + 18. Let a(x) = -x - 2. Let k(g) = t*a(g) + 2*i(g). Factor k(h).
-4*h**2*(h - 1)
Let i(o) be the third derivative of 0*o + 7/8*o**4 + 5*o**2 - o**3 + 0 - 1/4*o**5. Factor i(z).
-3*(z - 1)*(5*z - 2)
Let q(s) be the second derivative of s**7/70 + s**6/40 - s**5/20 - s**4/8 - 5*s**2 - 14*s. Let o(d) be the first derivative of q(d). Factor o(l).
3*l*(l - 1)*(l + 1)**2
Let x = 232 - 229. Suppose 3*j + x*c - 14 = 1, -5*c = -2*j - 4. Factor 1/8*n**4 - 1/2*n**j - 1/4*n**2 + 9/8 + 3/2*n.
(n - 3)**2*(n + 1)**2/8
Let b(s) be the third derivative of -s**5/140 - s**4/4 - 13*s**3/14 + 51*s**2. Let b(l) = 0. What is l?
-13, -1
Let j(u) be the second derivative of u**6/15 - 4*u**5/5 + 3*u**4 - 27*u**2 + 154*u. Find h such that j(h) = 0.
-1, 3
Let t be 19/9*2 - (-8)/(-36). Factor t*f + 0*f**3 - 681 - 4*f**3 + 679 + 2*f**4.
2*(f - 1)**3*(f + 1)
Let x(a) be the second derivative of a**6/20 - 21*a**5/40 + 3*a**4/4 - 2*a + 53. Suppose x(l) = 0. What is l?
0, 1, 6
Let q(z) be the second derivative of -z**7/3780 - z**6/324 - 7*z**5/540 - z**4/36 - 2*z**3/3 + 2*z. Let w(l) be the second derivative of q(l). Factor w(o).
-2*(o + 1)**2*(o + 3)/9
Let b be (2/(-4)*0)/(-1). Suppose 5*p - 5*y = b, 2*p - 9 = -0*p - y. Suppose -2/5*o**2 + 2/5*o + 2/5 - 2/5*o**p = 0. Calculate o.
-1, 1
Factor -3*w**2 + 0 + 1/3*w**4 - w**3 - 5/3*w.
w*(w - 5)*(w + 1)**2/3
Let l = -151 - -153. Factor -1 - 4*f**2 - 4*f - f**l - 4*f**3 - f**4 - f**2 + 0*f**2.
-(f + 1)**4
Suppose -3*r + 11 + 10 = 0. Let z(j) = j**2 - 6*j - 4. Let w be z(r). Factor 5 + 21*b - w - 2*b**2 + 4 - 10*b**2.
-3*(b - 2)*(4*b + 1)
Let b = -215247/5 + 43050. Factor -11/5*h**3 + 3/5*h - b*h**4 - h**2 + 0.
-h*(h + 1)*(h + 3)*(3*h - 1)/5
Let z(g) = -9*g**4 - 184*g**3 - 2112*g**2 + 189*g + 2101. Let u(x) = -8*x**4 - 184*x**3 - 2112*x**2 + 188*x + 2104. Let t(m) = 5*u(m) - 4*z(m). Factor t(w).
-4*(w - 1)*(w + 1)*(w + 23)**2
Let l = -7912 - -39566/5. What is c in -3/5*c - l + 3/5*c**2 = 0?
-1, 2
Let i = -102 - -90. Let j be (-64)/i - (-2 + 7). Factor 0*f + 4/3*f**3 + j*f**4 + 4/3*f**2 + 0.
f**2*(f + 2)**2/3
Let h = -23 + 25. Suppose -h*f - 4*i = -2, 2*f - 6 = -2*i + 2. Factor 3*w + 4*w**4 - 4*w + 4*w**2 - f*w**3 - w**5 + w**3.
-w*(w - 1)**4
Let m(p) be the first derivative of p**5/20 + p**4/8 - p**3/3 - p**2/4 + 3*p/4 - 486. Factor m(j).
(j - 1)**2*(j + 1)*(j + 3)/4
Suppose 4*l + 12 = -3*o + 46, 2*l + 16 = 4*o. Factor l*p - 8 - 1/2*p**2.
-(p - 4)**2/2
Let k(w) be the first derivative of 2/65*w**5 + 2/13*w**2 + 17 - 2/39*w**3 - 1/13*w**4 + 0*w. Factor k(j).
2*j*(j - 2)*(j - 1)*(j + 1)/13
Let a(m) be the third derivative of 1/120*m**4 + 3*m**2 - 3/1120*m**8 - 7/400*m**6 + 1/200*m**5 + 0 + 0*m + 0*m**3 + 1/84*m**7. Let a(l) = 0. Calculate l.
-2/9, 0, 1
Factor -40/13 - 18/13*g - 2/13*g**2.
-2*(g + 4)*(g + 5)/13
Determine z, given that -930*z**2 - 15*z + 15*z**4 