)**2*(b - 1)**3
Let z(x) be the first derivative of -3*x**4/4 + 3*x**2/2 - 2. Factor z(j).
-3*j*(j - 1)*(j + 1)
Let i be 10/(-25)*(-1 + 123). Let x = i + 49. Suppose 1/5 - 1/5*b - 1/5*b**2 + x*b**3 = 0. Calculate b.
-1, 1
Let i(c) be the first derivative of c**2 - 2 + 1/150*c**5 - 1/60*c**4 + 0*c**3 + 0*c. Let t(m) be the second derivative of i(m). Factor t(j).
2*j*(j - 1)/5
Let m be (-1)/(-5)*(-9 + (-426)/(-24)). What is s in -1/2 + 3*s**2 - 3/4*s - m*s**3 = 0?
-2/7, 1
Let c(t) be the third derivative of 0*t + 2/75*t**5 + 1/30*t**4 + 2*t**2 - 2/15*t**3 + 0. Solve c(g) = 0.
-1, 1/2
Suppose 0 = -3*o, -a = 2*a + 3*o - 15. Let r = 3 + -1. Determine f, given that -3*f**2 + 4*f**r - a*f + 3*f = 0.
0, 2
Let p(b) = -b**2 + 9*b - 8. Let d be p(7). Factor 5 - d*j + 2*j**2 - 2 + 1.
2*(j - 2)*(j - 1)
Let b(f) = -f**3 - 3*f**2 + 6*f - 6. Let p be b(-5). Find q, given that -p + 6 + 7*q**3 - 7*q + 2*q**2 + 6 = 0.
-1, -2/7, 1
Solve -3/4*z + 1/2 + 1/4*z**2 = 0.
1, 2
Let m(h) be the second derivative of 4*h**4/27 + 14*h**3/27 - 4*h**2/9 - 2*h + 2. Factor m(u).
4*(u + 2)*(4*u - 1)/9
Let g(t) be the first derivative of 1/7*t**4 - 3 - 1/21*t**6 + 0*t + 0*t**3 - 1/7*t**2 + 0*t**5. Factor g(n).
-2*n*(n - 1)**2*(n + 1)**2/7
Factor 130*x**3 + 15*x**2 - 2*x**5 + 9*x**4 - 103*x**3 - x**5.
-3*x**2*(x - 5)*(x + 1)**2
Factor -2/5*o**3 - 4/5*o**2 + 2/5*o + 4/5.
-2*(o - 1)*(o + 1)*(o + 2)/5
Let g be (9 - 10)/(-1*3). Suppose 0 = -5*v + 6 + 4. Suppose 0*n - n**3 + 0 + g*n**4 + 2/3*n**v = 0. What is n?
0, 1, 2
Let a(r) = -29*r**3 + 5*r**2 - 17*r - 17. Let b(z) = -10*z**3 + 2*z**2 - 6*z - 6. Let v(y) = 6*a(y) - 17*b(y). Solve v(s) = 0 for s.
-1, 0
Suppose -5*l - 5 = -0. Let u be (-2)/(-3)*l*-6. Let -6*i**2 - 4 - 9*i - u*i + 3*i = 0. What is i?
-1, -2/3
Let x be ((-4 + 4)/3)/(-1). Let 2/5*k**3 + 0*k + x + 0*k**2 = 0. Calculate k.
0
Determine y, given that 0*y**3 + 3/2*y**4 + 0 + 0*y + 0*y**2 = 0.
0
Let o(k) = -1 + 0*k - 1 + k - 3. Let p be o(5). Let p*i - 2/7*i**5 + 0 - 6/7*i**4 - 6/7*i**3 - 2/7*i**2 = 0. Calculate i.
-1, 0
Let b(j) be the first derivative of 3*j**5/5 + 9*j**4 + 54*j**3 + 162*j**2 + 243*j - 2. Factor b(h).
3*(h + 3)**4
Let k = 49/110 - 1/22. Factor 0 + 2/5*l + k*l**2.
2*l*(l + 1)/5
Factor 4/3 - 2/3*p - 1/3*p**2 + 1/6*p**3.
(p - 2)**2*(p + 2)/6
Let g(i) = -5*i - 82. Let d be g(-17). Let a(o) be the first derivative of -1/3*o**3 - d + 1/4*o**2 + 0*o + 1/8*o**4. Let a(z) = 0. What is z?
0, 1
Let r(f) = -f**2 + f + 2. Let p be r(2). What is t in -2*t**4 + p*t**4 + 0*t**4 + 4*t**3 - 2*t**3 = 0?
0, 1
Factor 38/3*w**3 + 13/3*w - 2/3 - 32/3*w**2 + 5/3*w**5 - 22/3*w**4.
(w - 1)**4*(5*w - 2)/3
Let g(f) be the first derivative of -f**6/9 + f**4/3 - f**2/3 + 6. Determine n, given that g(n) = 0.
-1, 0, 1
Find a such that 3/2*a**2 + 675/2 + 45*a = 0.
-15
Factor -3*o**2 + 8*o**5 - 3*o**3 + 4*o**2 - 5*o**5 - 6*o**4 + 5*o**2.
3*o**2*(o - 2)*(o - 1)*(o + 1)
Let v(b) be the first derivative of -b**6/12 + 2*b**5/5 - 3*b**4/4 + 2*b**3/3 - b**2/4 + 9. Solve v(q) = 0.
0, 1
Suppose -l + 15 = 5*q + l, -3*q = 3*l - 9. Suppose -4*f**2 - 3*f**3 + 4*f**3 - q*f**3 + 30*f**4 = 0. Calculate f.
-1/3, 0, 2/5
Suppose 4*y - 18 + 6 = 0. Suppose 2*s**2 + 0*s**2 - 4*s**2 - s**y - s = 0. Calculate s.
-1, 0
Let t(p) be the second derivative of 1/12*p**4 + 4*p + 1/30*p**6 + 1/10*p**5 + 0 + 0*p**2 + 0*p**3. Find s such that t(s) = 0.
-1, 0
Let g be (-54)/(-42)*(4 - (-34)/(-9)). Factor -2/7*b + 2/7 + 2/7*b**3 - g*b**2.
2*(b - 1)**2*(b + 1)/7
Let i = 2/19 + 62/133. Factor 4/7*f**3 - 2/7*f**4 + 2/7 - i*f + 0*f**2.
-2*(f - 1)**3*(f + 1)/7
Let v = 3/46 + 163/322. Let u be (-24)/63*15/(-4). Let v + 4/7*q**2 + u*q = 0. Calculate q.
-2, -1/2
Factor -2*x**4 - 8*x**3 - 12*x**2 - 1 - 5*x - 4 - 3*x + 3.
-2*(x + 1)**4
Let t(w) be the first derivative of -5*w**3/3 + 5*w**2 - 5*w - 4. Factor t(g).
-5*(g - 1)**2
Let w = -2 - -4. Factor -4*o - o + 3*o - 2*o**w - 2*o.
-2*o*(o + 2)
Let p(i) = -4*i**3 - 6*i**2 - 2. Let f(g) = 3*g**3 + 5*g**2 + g + 1. Let m(v) = -6*f(v) - 5*p(v). Factor m(b).
2*(b - 1)**2*(b + 2)
Factor 8/9*v**3 + 4/3*v**2 + 8/9*v + 2/9 + 2/9*v**4.
2*(v + 1)**4/9
Let v(q) = -14*q**3 - 20*q**2 + 14*q - 14. Let a(k) = -4 - 2 + 1 + 5*k - 7*k**2 - 5*k**3 + 0. Let n(m) = 17*a(m) - 6*v(m). What is b in n(b) = 0?
-1, 1
Let g(o) be the second derivative of o**7/1260 - o**6/270 + o**5/180 + o**3/6 + 3*o. Let a(j) be the second derivative of g(j). Factor a(d).
2*d*(d - 1)**2/3
Let d(l) = l + 16. Let y be d(-11). Let w = 5 - y. Factor 2/5*i - 2/5*i**4 - 6/5*i**2 + 6/5*i**3 + w.
-2*i*(i - 1)**3/5
Let h(c) = c**2 - 2. Let k be h(0). Let q be k/(-9) + 16/9. Let 0 + 1/4*b**q + 1/4*b**3 + 0*b = 0. Calculate b.
-1, 0
Let l be -3 - (-2 + (-1 - 1)). Suppose -z + l = -1. Factor -2/5 + 4*s**3 + 2*s - z*s**4 - 4*s**2 + 2/5*s**5.
2*(s - 1)**5/5
Let x = -7 - -11. Let w(c) = 6*c**3 - 6*c**2 - c - 4. Let l(a) = 5*a**3 - 5*a**2 - a - 3. Let b(o) = x*w(o) - 5*l(o). Find i, given that b(i) = 0.
-1, 1
Let p = 24 + -71/3. Let o(v) be the third derivative of 1/6*v**4 + p*v**3 + 0*v + 0 - 3*v**2 + 1/30*v**5. Factor o(c).
2*(c + 1)**2
Let c = 5/38 - -2/57. Let t(k) be the first derivative of c*k**4 - 4/9*k**3 - 1 + 1/3*k**2 + 0*k. Determine y, given that t(y) = 0.
0, 1
Let o(g) = -13*g**4 - 25*g**3 - 24*g**2 - 7*g + 5. Let v(x) = 6*x**4 + 12*x**3 + 12*x**2 + 4*x - 2. Let t(z) = 4*o(z) + 9*v(z). Solve t(q) = 0 for q.
-1
Let k(g) = 120*g**2 + 200*g - 80. Let s(b) = 15*b**2 + 25*b - 10. Let j(a) = 3*k(a) - 25*s(a). Factor j(n).
-5*(n + 2)*(3*n - 1)
Factor -6/13*o + 4/13*o**3 - 10/13*o**2 + 0.
2*o*(o - 3)*(2*o + 1)/13
Let s(o) = -o + 11. Let q be s(8). Let a = q - 3. Factor 2/5*f**2 + a*f + 0*f**3 + 0 - 2/5*f**4.
-2*f**2*(f - 1)*(f + 1)/5
Let v = 337/5 - 67. Factor 2/5 - 4/5*g + v*g**2.
2*(g - 1)**2/5
Suppose -8 + 0 = -4*z. Let h = 27 + -107/4. Let 1/2*m - 1/4 - h*m**z = 0. Calculate m.
1
Let x(i) be the third derivative of -i**7/1960 + i**6/420 + i**5/280 - i**4/28 + i**3/2 - 5*i**2. Let m(u) be the first derivative of x(u). Factor m(t).
-3*(t - 2)*(t - 1)*(t + 1)/7
Let j be 74/143 + 44/(-286). Factor j*v + 2/11*v**2 + 2/11.
2*(v + 1)**2/11
Suppose -79*m = -73*m - 24. Suppose 4/3*k**2 + 2*k - 4/3*k**3 + 2/3 - 2*k**m - 2/3*k**5 = 0. What is k?
-1, 1
Let v = -15 - -17. Let d(w) be the first derivative of 1 + 2*w + 2/3*w**3 - 2*w**v. Factor d(o).
2*(o - 1)**2
Let 2/3*z**2 + 0*z + 0 + 2*z**3 = 0. What is z?
-1/3, 0
Let d = 1/171 - -53/684. Let a(t) be the third derivative of 0 + d*t**4 + 1/20*t**5 - 2*t**2 + 0*t + 1/120*t**6 + 0*t**3. Factor a(x).
x*(x + 1)*(x + 2)
Let j(o) = 5*o**2 - 2*o - 3. Let a(b) = b**2 - 1. Let i(p) = -4*a(p) + j(p). Let w be i(-2). Factor w*m**3 - 6*m - 3*m**3 - 3 + 19*m**4 - 16*m**4.
3*(m - 1)*(m + 1)**3
Let p = -20 - -23. Let o(t) be the third derivative of 0 - 1/6*t**p + 0*t - 1/24*t**4 - 1/240*t**5 + t**2. Find w, given that o(w) = 0.
-2
Factor 0 + p**4 - 3/5*p**3 - 1/5*p**5 + 0*p - 9/5*p**2.
-p**2*(p - 3)**2*(p + 1)/5
Suppose 4*f = 4*q - 0*q + 60, -4*f - 2*q = -60. Suppose 4*x + f = 9*x. Factor 4/9*h**x - 2/9*h**2 + 0 - 2/9*h**4 + 0*h.
-2*h**2*(h - 1)**2/9
Let o(t) be the first derivative of -1/15*t**5 + 0*t**3 + 1/3*t - 1/3*t**2 + 1/6*t**4 - 1. Factor o(n).
-(n - 1)**3*(n + 1)/3
Let l(h) = -h + 1. Let o(u) = -u**2 - 2*u + 3. Let b(v) = 3*l(v) - o(v). Factor b(w).
w*(w - 1)
Let s(y) be the third derivative of -y**8/336 + y**7/105 - y**6/120 + 18*y**2. Solve s(z) = 0 for z.
0, 1
Let y(t) = 3*t**2 - 6*t + 8. Let h(k) = 3*k**2 - 6*k + 7. Let r(b) = 4*h(b) - 3*y(b). Let j(v) = -v**2. Let a(u) = 2*j(u) + 2*r(u). Factor a(m).
4*(m - 2)*(m - 1)
Let f(h) be the first derivative of -h**7/105 + h**5/30 + h**2 + 3. Let d(n) be the second derivative of f(n). Suppose d(i) = 0. What is i?
-1, 0, 1
Let w(f) = f**4 - 1. Let r(p) = 4*p**4 - 2*p**2 - 2. Let c(z) = 4*r(z) - 12*w(z). Determine q, given that c(q) = 0.
-1, 1
Let d(r) be the second derivative of -r**4/12 + 2*r**3/3 - 2*r**2 + 9*r. Let d(c) = 0. What is c?
2
Suppose -3 = -l, 4*l = 5*n - l - 5. Suppose n*t - 12 = t. Factor 0*c**3 - t*c**4 - 6*c**5 + 9*c**5 + c**3.
c**3*(c - 1)*(3*c - 1)
Let h(o) = 2*o**2 + 3*o + 5. Let y(c) = c**2 + 2*c + 3. Let m(q) = -3*h(q) + 5*y(q). Factor m(z).
-z*(z - 1)
Suppose 4*j + 106 = 5*x, x = -j - j + 10. Factor -23*t**3 - x*t**4 + 5*t**3 + t