)/(-25) - 4). Let y be b(f). Factor 1/3*v**3 - 1/3*v + 1/3*v**y + 0 - 1/3*v**2.
v*(v - 1)*(v + 1)**2/3
Let 18/5*a**4 + 138/5*a**3 - 408/5*a + 152/5*a**2 + 32 = 0. Calculate a.
-5, -4, 2/3
Factor -2587*o**3 + 118*o**3 - 123*o**3 - 20736*o**2 - 39470*o - 3*o**5 - 10*o**4 - 134*o**4 - 22738*o.
-3*o*(o + 12)**4
What is d in 538*d**4 + 2*d**3 - 6*d**2 - 532*d**4 - 4*d + 12*d**5 - 10*d**5 = 0?
-2, -1, 0, 1
Let q = 8 + -8. Suppose 5*f - 4 = -4*y, f + q*y + 5 = 5*y. Factor 4*g**2 - 2*g**2 + g**2 + 3 + 6*g + f.
3*(g + 1)**2
Let b(z) be the third derivative of 0*z + 1/14*z**3 + 1/392*z**8 + 10*z**2 + 0 + 9/490*z**7 + 3/28*z**4 + 1/10*z**5 + 2/35*z**6. Let b(c) = 0. Calculate c.
-1, -1/2
Let s(c) be the first derivative of 0*c**2 - 10/63*c**3 + 8/21*c + 2/105*c**5 + 1 + 0*c**4. Let s(v) = 0. What is v?
-2, -1, 1, 2
Let z = -1/9 + 19/90. Let x(d) be the first derivative of -1/15*d**3 + 0*d + 2 + 0*d**2 + z*d**4 - 1/25*d**5. Factor x(u).
-u**2*(u - 1)**2/5
Suppose 4*d = 7*d - 4*i, -3*d = 2*d - 3*i. Let d*m**3 + 0 + 4/5*m**5 - 8/5*m**2 - 4/5*m + 8/5*m**4 = 0. Calculate m.
-1, 0, 1
Let v(s) be the third derivative of -s**6/210 + s**4/14 - 4*s**3/21 + 92*s**2. Let v(c) = 0. What is c?
-2, 1
Determine w so that 1/2*w**2 - 3/4*w**4 + 1/4 - 3/4*w + 1/4*w**5 + 1/2*w**3 = 0.
-1, 1
Suppose f = 1 + 1. Suppose -5*i + 7 + 12 = x, 10 = -2*i + 4*x. Solve 4*d**i - d**3 + 16*d**2 - 12*d**2 - 10*d**f = 0.
0, 2
Let s(i) be the first derivative of 3*i**5/35 - 3*i**4/14 - i**3/7 + 3*i**2/7 + 85. Factor s(r).
3*r*(r - 2)*(r - 1)*(r + 1)/7
Let r(f) be the first derivative of 1/18*f**4 + 0*f - 2/45*f**5 + 11 + 0*f**2 + 0*f**3. Let r(g) = 0. Calculate g.
0, 1
Suppose 30 = -3*t + 3. Let q(g) = g**3 + 10*g**2 + 10*g + 12. Let p be q(t). Factor -10*a**p + 8*a + 7 - 3*a**2 - 2*a**3 + 4*a - 4.
-3*(a - 1)*(a + 1)*(4*a + 1)
Let i(f) be the first derivative of f**7/28 - f**6/4 + 27*f**5/40 - 7*f**4/8 + f**3/2 - f + 5. Let w(q) be the first derivative of i(q). Solve w(o) = 0.
0, 1, 2
Let s(z) be the second derivative of z**6/10 + 3*z**5/10 - z**4 - z**3 + 9*z**2/2 - 6*z - 22. Suppose s(g) = 0. Calculate g.
-3, -1, 1
Let z(p) = p**2 - 3*p - 7. Let o be z(5). Factor -o*r**2 + 7*r**2 + 8*r + 0*r**2 + 0*r**2.
4*r*(r + 2)
Determine v so that 4*v**4 - 4*v**4 - 27 - 3*v**4 + 15*v**2 + 15*v**2 = 0.
-3, -1, 1, 3
Let i(t) be the second derivative of -31*t + 7/18*t**3 + t**2 - 1/60*t**5 + 0 + 0*t**4. Factor i(w).
-(w - 3)*(w + 1)*(w + 2)/3
Let d = 24713 - 24713. Solve -48/7*a**3 - 12/7*a**2 + 0 - 3*a**4 + d*a = 0.
-2, -2/7, 0
Let i(m) be the third derivative of -m**6/360 - m**5/120 + m**4/12 - 19*m**3/6 + 17*m**2. Let r(o) be the first derivative of i(o). Let r(g) = 0. What is g?
-2, 1
Let u(n) = -n**2 - 4*n - 4. Let z be u(-2). Suppose z = -2*f + 6 + 36. Suppose 5*d**3 + 8 + 3 - 15*d - f = 0. What is d?
-1, 2
Let t(l) = -l**3 + 4*l**2 - 8. Suppose 5*k - 100 = -0*k. Suppose 4*n = 6 + 10. Let b(o) = -o**2 + o + 1. Let i(f) = k*b(f) + n*t(f). Factor i(d).
-4*(d - 1)**2*(d + 3)
Let g(m) = -2*m - 2. Let l = -25 + 23. Let q be g(l). Factor -2*o**2 + 4*o**q - 4*o + 0*o**2 - 6.
2*(o - 3)*(o + 1)
Let q = 211/1880 + 3/235. What is p in -1/8*p + 3/8*p**2 + 1/4*p**5 - q*p**3 - 3/8*p**4 + 0 = 0?
-1, 0, 1/2, 1
Let w be -1*(1 - 5) + (-2299)/1045. Find h, given that 16/5*h - 4/5 + w*h**2 = 0.
-2, 2/9
Let w(u) be the second derivative of -5*u**8/336 - u**7/42 + u**6/24 + u**5/12 - 11*u**2/2 + 5*u. Let i(c) be the first derivative of w(c). Factor i(h).
-5*h**2*(h - 1)*(h + 1)**2
Let t(p) = p**2 - 17*p + 20. Let g be t(15). Let s be (-36)/g + (-14)/(-35) - 2. Factor 1/5*m + 4/5*m**5 - 7/5*m**s + 3*m**3 + 0 - 13/5*m**4.
m*(m - 1)**3*(4*m - 1)/5
Let v(h) be the second derivative of -1/336*h**7 + 1/240*h**6 + 0*h**3 + 0*h**5 + 0 - 23*h + 0*h**4 + 0*h**2. Find f, given that v(f) = 0.
0, 1
Let g(d) be the third derivative of 1/300*d**6 + 0*d**5 + 0 - 1/20*d**4 + 0*d - 20*d**2 + 2/15*d**3. Factor g(h).
2*(h - 1)**2*(h + 2)/5
Suppose -16*v + 65 = 17. Suppose p - v*p = -5*t + 10, -t - 3*p - 15 = 0. Factor t + 1/2*m - 1/2*m**2.
-m*(m - 1)/2
Let i = -11786 - -11791. Factor 0 - 2/9*x**4 + 2/9*x**i + 10/9*x**2 - 2/3*x**3 - 4/9*x.
2*x*(x - 1)**3*(x + 2)/9
Let m(t) = t - 11. Let a be m(14). Find v such that 25 - 2*v**2 + 4*v - 2*v**a - 23 - 2*v = 0.
-1, 1
Let p(o) be the second derivative of o**8/13440 + o**7/5040 + o**4/12 - 15*o. Let s(k) be the third derivative of p(k). Factor s(m).
m**2*(m + 1)/2
Let w(g) be the first derivative of -18 + 0*g + 20/21*g**3 - 3/7*g**4 - 4/7*g**2. Factor w(u).
-4*u*(u - 1)*(3*u - 2)/7
Let o(r) be the third derivative of r**6/300 - 2*r**5/75 - r**4/12 - 42*r**2. Let o(t) = 0. Calculate t.
-1, 0, 5
Let a(s) be the second derivative of 5*s**4/72 + 287*s**3/36 + 19*s**2/2 + 166*s. Factor a(n).
(n + 57)*(5*n + 2)/6
Let m(u) = -3*u**2 - 24*u - 9. Let y(i) = -i**2 - 6*i - 2. Suppose 0 = 15*d - 39 - 96. Let j = -5 + 3. Let r(z) = d*y(z) + j*m(z). Factor r(x).
-3*x*(x + 2)
Let w(p) be the third derivative of -p**8/1344 + p**7/420 + p**6/60 - p**5/15 - p**4/6 + 4*p**3/3 + 6*p**2 + 10*p. Factor w(z).
-(z - 2)**3*(z + 2)**2/4
Let y be 20/(-50) + 104/10. Suppose y = 3*v - v. Factor 4*f**3 - 6*f + 0*f**2 + 2*f**v - 2 - 5*f**2 + 6*f**4 + f**2.
2*(f - 1)*(f + 1)**4
Let m be (-3*2 + 2)*(-80)/120. Factor -2/3 + 10/3*w + m*w**3 - 16/3*w**2.
2*(w - 1)*(2*w - 1)**2/3
Let c(i) be the second derivative of -i**6/1800 - 5*i**3/6 - 3*i. Let b(s) be the second derivative of c(s). Factor b(p).
-p**2/5
Let l = 23119/35 - 3302/5. Factor -3/7 - l*o**2 - 4/7*o.
-(o + 1)*(o + 3)/7
Let z(y) be the third derivative of -y**8/60480 - 13*y**5/30 + 20*y**2. Let l(h) be the third derivative of z(h). Suppose l(p) = 0. Calculate p.
0
Suppose 3*d + h + 18 = -3*h, h = -3*d. Find c such that -3/5*c**d + 1/5*c**3 - 9/5*c - 1 = 0.
-1, 5
Solve 3064*m**2 + 28*m - 2*m - 1530*m**2 + 32 - 1529*m**2 = 0 for m.
-16/5, -2
Let p(c) be the first derivative of 2*c**3/21 - 66*c**2/7 + 2178*c/7 - 176. Factor p(i).
2*(i - 33)**2/7
Let f(b) be the second derivative of -b**7/56 - 3*b**6/20 + 9*b**5/80 + 5*b**4/4 + 3*b**3/2 + 22*b - 5. Determine c so that f(c) = 0.
-6, -1, 0, 2
Let v(i) be the second derivative of 3*i**8/728 + 4*i**7/105 + 23*i**6/260 - 3*i**5/65 + 23*i**2 - 30*i. Let f(m) be the first derivative of v(m). Factor f(w).
2*w**2*(w + 3)**2*(9*w - 2)/13
Suppose -3*h + 3*x + 0 + 12 = 0, 5*x + 4 = h. Suppose -2*d + 2*f - 13 + 109 = 0, 4*f - 168 = -h*d. Factor 12*v**2 + d - 45 - 8*v.
4*v*(3*v - 2)
Factor 1/2*f**2 - 9 - 3/2*f.
(f - 6)*(f + 3)/2
Let d be 29 + 2 + 4/(-1). Solve -3*r**3 - 24*r - d*r**2 - 1 - 11 + 12*r**2 = 0.
-2, -1
Let o(d) be the third derivative of -d**5/450 - d**4/10 - 8*d**3/5 - 199*d**2 + 2. Determine x, given that o(x) = 0.
-12, -6
Let w = -2802 + 11211/4. Determine y, given that -3/8*y - w + 3/8*y**2 = 0.
-1, 2
Let f(r) = 6*r**2 + 3. Let t(p) = -5*p**2 - 2. Let c(b) = -b + 1. Let a be c(4). Let w(q) = a*t(q) - 2*f(q). Factor w(s).
3*s**2
Solve 1800/11 - 52/11*a**3 + 2/11*a**4 + 1560/11*a + 218/11*a**2 = 0.
-2, 15
Let a(b) be the first derivative of 3*b**3 + 15/2*b**2 + 6*b - 3/4*b**4 + 8 - 3/5*b**5. Factor a(i).
-3*(i - 2)*(i + 1)**3
Let n(q) = q + 6. Let v be n(-3). Let z(t) = -3*t**3 + 31*t**2 - 3*t - 6. Let o be z(10). Factor 4 - 160*x**v - 30*x - 13*x + o*x**4 + 132*x**2 + 3*x.
4*(x - 1)**2*(4*x - 1)**2
Suppose 0 = 5*o + 5*a - 20, -10*o - 13 = -13*o - 2*a. Suppose -1/2*c**o + 0 + 0*c**2 + 0*c**3 + 0*c + 0*c**4 = 0. Calculate c.
0
Let x(z) be the second derivative of -81*z**5/10 - 283*z**4/28 - 43*z**3/14 + 3*z**2/7 - 219*z. Suppose x(m) = 0. Calculate m.
-1/2, -2/7, 1/27
Let y(f) be the second derivative of 1/30*f**5 + 1/45*f**6 + 1/54*f**4 + 0*f**3 + 0 + 1/189*f**7 + 0*f**2 - 14*f. Factor y(t).
2*t**2*(t + 1)**3/9
Suppose -2*o = 2*i - 20, o - 2*i + 10 = i. Factor -118*u**2 + 28 + 20*u**3 + 45*u**o - 65*u - 38 + 28*u**2 + 100*u**4.
5*(u - 1)*(u + 1)**3*(9*u + 2)
Let h(n) be the third derivative of 0 + 6*n**2 - 1/5*n**5 - n**3 - 5/8*n**4 + 0*n - 1/40*n**6. Factor h(c).
-3*(c + 1)**2*(c + 2)
Let q(s) = -s**3 - 4*s**2 - 5*s - 2. Let x be q(-3). Suppose -2 = -3*k + x. Factor 2/3*j**4 - 8/3*j**3 + k*j**2 - 8/3 + 8/3*j.
2*(j - 2)**2*(j - 1)*(j + 1)/3
Let x(f) = -12*f**3 + 63*f**2 + 27*f - 9. Let y(m) = m**3 - 2*m**2 - 3*m + 1. 