 of 1/2*w**i + 2/3*w**3 + 0 + 1/30*w**6 + 1/5*w**5 + 1/2*w**2 - 3*w. Factor t(o).
(o + 1)**4
Factor -3/5*w**3 + 0*w**2 + 3/5*w + 0.
-3*w*(w - 1)*(w + 1)/5
Let b(v) be the second derivative of 4*v**4/21 + 16*v**3/21 + 6*v**2/7 - 47*v. Suppose b(w) = 0. Calculate w.
-3/2, -1/2
Suppose -o + 1 + 0 = 0. Let m(k) be the first derivative of 5*k**3 - o + 4*k**2 + k - 2*k**4 - 16/5*k**5. Solve m(g) = 0.
-1, -1/4, 1
Solve -1/4*j**2 + 1/4*j**3 + 0 - 1/4*j + 1/4*j**4 = 0 for j.
-1, 0, 1
Let z(g) = 4*g**4 - 43*g**3 - 12*g**2 + 569*g - 761. Let n(r) = 3*r**4 - 42*r**3 - 12*r**2 + 570*r - 762. Let i(t) = -7*n(t) + 6*z(t). Solve i(x) = 0.
-8, 2
Let l be -2*(-3)/6 - 3. Let t be (9 - -3)*l/(-9). Factor 56/3*j**2 + 0 + 98/3*j**3 + t*j.
2*j*(7*j + 2)**2/3
Let l(t) be the second derivative of -t**4/18 - 10*t**3/9 - 25*t**2/3 + 3*t. Factor l(m).
-2*(m + 5)**2/3
Let x(o) be the third derivative of -3*o**8/112 - 3*o**7/14 - 5*o**6/8 - 29*o**5/36 - 5*o**4/9 - 2*o**3/9 + o**2. Suppose x(z) = 0. What is z?
-2, -1/3
Let j(b) be the second derivative of -b**7/18900 + b**6/5400 + b**4/2 - 8*b. Let t(q) be the third derivative of j(q). What is k in t(k) = 0?
0, 1
Let g(l) be the first derivative of -6591*l**4/8 + 507*l**3 - 117*l**2 + 12*l - 6. Factor g(t).
-3*(13*t - 2)**3/2
Suppose 5/4*z**2 - 5/4*z - 15 = 0. What is z?
-3, 4
Suppose -10 = 3*k - 8*k. Factor 2 - 1 + 4*g + g**2 - 5 - k*g**2.
-(g - 2)**2
Suppose -3*g + 6 = 5*w, 1 = 3*g + 4*w - 5. Let j(r) be the second derivative of 1/6*r**4 + 4*r + 0 + r**g + 2/3*r**3. Factor j(s).
2*(s + 1)**2
Let b(h) be the second derivative of -h**5/10 - h**4/3 - h**3/3 - 7*h. What is c in b(c) = 0?
-1, 0
Suppose 76*r = 68*r + 24. Factor 4*h**2 - 8/3*h**r + 2/3*h**4 - 8/3*h + 2/3.
2*(h - 1)**4/3
Let l = 31 + -28. Let q(v) be the third derivative of 1/480*v**6 + 0 + 0*v + 0*v**l - 1/240*v**5 + 0*v**4 + v**2. Solve q(x) = 0.
0, 1
Let -2 + 0*c + 4*c**2 - 6*c**2 + 10*c - 10*c**2 = 0. Calculate c.
1/3, 1/2
Let x(w) = -w**3 - w + 1. Let u(m) = 12*m**3 - 3*m**2 + 6*m - 6. Let z(o) = u(o) + 9*x(o). Suppose z(l) = 0. Calculate l.
-1, 1
Let r be 4 + -1 - 9 - -6. Factor -1/4*h**2 + 1/4*h**5 + 0*h - 1/4*h**3 + 1/4*h**4 + r.
h**2*(h - 1)*(h + 1)**2/4
Let v be (4/6)/((-8)/(-36)). Factor -h**3 + h**5 - h**3 + 6*h - v*h - 2*h.
h*(h - 1)**2*(h + 1)**2
Let d(c) be the second derivative of -c**6/720 - c**5/240 + 5*c**3/6 - 2*c. Let r(i) be the second derivative of d(i). Let r(t) = 0. Calculate t.
-1, 0
Suppose -5*m = -o - 25, 0 = 3*o - 5*m + 11 + 14. Let 1/6*h**5 + 1/3*h**2 + 5/6*h**3 + o + 0*h + 2/3*h**4 = 0. Calculate h.
-2, -1, 0
Suppose 5*q - 5*k = 5, 3*k = 4*q - 0 - 3. Let y be (-1 - -2) + 2 + q. Factor 2*h + h**2 - y*h**2 - h**3 + h**2.
-h*(h - 1)*(h + 2)
Let y(n) be the first derivative of n**5/40 - 5*n**4/8 + 25*n**3/4 - 125*n**2/4 + 625*n/8 + 9. Determine k, given that y(k) = 0.
5
Let a be 2/(-4)*(23 + 3). Let k(o) = -o**3 - 12*o**2 + 13*o + 2. Let p be k(a). Find m such that 1/2*m**p - 1/2 + 3/4*m = 0.
-2, 1/2
Let g be ((-4)/7)/((-4)/14). Determine s so that g - s**3 - 5*s + 5*s**3 - 2*s**4 + s = 0.
-1, 1
Let k(w) = w**3 - w**2 + w - 1. Let d(y) = -3*y**3 - 6*y**2 + 4*y - 4. Let n(m) = d(m) - 4*k(m). Determine b, given that n(b) = 0.
-2/7, 0
Let v = 347 - 1731/5. Factor 6/5*t**2 + v*t + 0 + 2/5*t**3.
2*t*(t + 1)*(t + 2)/5
Let s(k) be the third derivative of k**6/160 - k**5/40 + k**4/32 - 3*k**2. Factor s(o).
3*o*(o - 1)**2/4
Let o(r) be the first derivative of 2 - r**3 + 3*r**2 + 0*r**2 - 3 + 0*r**2. Factor o(u).
-3*u*(u - 2)
Let n be 0*-2*(-4)/16. Let p be n - (1 + 21/(-15)). Factor -2/5*o**2 + 0 - p*o.
-2*o*(o + 1)/5
Let b(z) = z + 8. Let o be b(0). Let -o*m + 2 + 22*m**2 - 10*m**3 - 6*m + 0*m + 0 = 0. What is m?
1/5, 1
Factor 7*s**2 - 2*s**2 + 5*s**5 + 0*s**5 - 67*s**3 + 62*s**3 - 5*s**4.
5*s**2*(s - 1)**2*(s + 1)
Let r(g) = -g**4 + g - 1. Let p(f) = -6*f**4 - 4*f**3 - 2*f**2 + 12*f - 12. Let x(c) = p(c) - 12*r(c). Factor x(a).
2*a**2*(a - 1)*(3*a + 1)
Let q(c) be the third derivative of c**7/210 + c**5/60 - c**2. Let y(d) = -2*d**4 + 2*d**3 - 4*d**2. Let b = -13 - -14. Let n(x) = b*y(x) + 4*q(x). Factor n(l).
2*l**3*(l + 1)
Factor -18/7*q**5 - 66/7*q**4 - 60/7*q**2 - 2/7 - 18/7*q - 92/7*q**3.
-2*(q + 1)**3*(3*q + 1)**2/7
Suppose -2*b - 3*b + 20 = 0. Suppose 5*x - 6 = b. Let -4*i + 0*i**2 + 0*i**x - 2*i**2 = 0. Calculate i.
-2, 0
Let p(q) = 6*q**2 + 8*q. Suppose t = -5*s - 23, -t - t - 4*s = 22. Let l(u) = -6*u**2 - 8*u + 1. Let i(f) = t*p(f) - 2*l(f). Factor i(r).
-2*(r + 1)*(3*r + 1)
Let s(w) be the second derivative of -w**6/30 - w**5/20 + w**4/3 + 2*w**3/3 - 41*w. Factor s(p).
-p*(p - 2)*(p + 1)*(p + 2)
Let u(d) = d**2 + 2*d + 3. Let x(j) = 1. Let h(v) = u(v) - 3*x(v). Factor h(b).
b*(b + 2)
Let w be (-9)/2*(3 + -5). Suppose -3*i = -0*i - w. Factor -o**3 + 0*o**2 + o**2 + 0*o**i.
-o**2*(o - 1)
Let s(p) be the third derivative of -p**8/4200 + p**7/1050 - p**6/900 + p**3/6 - 7*p**2. Let d(r) be the first derivative of s(r). What is g in d(g) = 0?
0, 1
Suppose -17 = -5*h - i, -18 = -4*h - 0*i - 3*i. Let w(k) be the second derivative of -1/5*k**2 + k - 1/30*k**4 - 2/15*k**h + 0. Factor w(o).
-2*(o + 1)**2/5
Let u(i) = i**3 - 2*i**2 - 5*i + 3. Let q be u(3). Let z be (q/(-2))/(3 + 3). Factor 0 - 1/4*n - z*n**2.
-n*(n + 1)/4
Let u be 1/(27/13 + -2). Suppose 5*y = 4*w + 33 - u, -4*y = 4*w + 20. Factor -3*c**3 - c**3 - 4*c**4 - 2*c**3 - 4*c**2 - c + y*c - c**5.
-c*(c + 1)**4
Factor r**4 + 0*r - 3*r**2 + 0*r + 2*r**4.
3*r**2*(r - 1)*(r + 1)
Let g = -318/7 - -46. Let i(a) be the first derivative of 2/7*a + 4/7*a**2 + 2/7*a**4 + g*a**3 - 1 + 2/35*a**5. Let i(p) = 0. What is p?
-1
Suppose 0 = 4*q + 2*f - 6 - 2, -5*f = 5*q. Suppose 0 = 5*r - 6 - q. Factor -4/5*a - 2/5*a**4 + 0*a**r + 4/5*a**3 + 2/5.
-2*(a - 1)**3*(a + 1)/5
Suppose 15 = 4*b + 5*j - 18, -17 = 4*b - 5*j. Let t(n) be the second derivative of -1/11*n**b + 0 + 0*n**3 + n + 1/66*n**4. Factor t(h).
2*(h - 1)*(h + 1)/11
Let g be (9/(-6))/(-3) - -1. Let n(u) be the first derivative of 1 - g*u**2 - u - 1/4*u**4 - u**3. Factor n(i).
-(i + 1)**3
Find h such that -25*h**4 + h**2 - 3*h**3 + 24*h**4 + h**5 + 2*h + 0*h**5 = 0.
-1, 0, 1, 2
Let k(p) = p + 16. Let x be k(-15). Factor -9*i**2 - 3*i**4 - 1 + 2*i**4 - 3*i**3 - 7*i - x - 2*i**3.
-(i + 1)**3*(i + 2)
Factor 4*z**4 + 5*z**3 + 12*z**2 + 0*z**2 - z**3 - 4*z - 8*z**4 - 8.
-4*(z - 2)*(z - 1)*(z + 1)**2
Let l(a) be the second derivative of -a**5/25 - 4*a**4/15 - 8*a**3/15 - 8*a. Determine n so that l(n) = 0.
-2, 0
Find z such that -8*z**4 - 15*z**2 - 9*z + 23*z**4 + 10*z**3 - z = 0.
-1, -2/3, 0, 1
Let q = 18 - 12. Let p(n) = -n**2 - n + 1. Let i(a) = -a**3 - 3*a**2 + 2. Let b(h) = q*p(h) - 3*i(h). Factor b(z).
3*z*(z - 1)*(z + 2)
Let q(x) be the third derivative of -x**8/168 + x**7/21 - 2*x**6/15 + 2*x**5/15 + 2*x**2. Solve q(h) = 0 for h.
0, 1, 2
Suppose 5*f = b - 9, f - 4*f = 2*b + 8. Let o = 5 + b. Factor 0*g**2 + 0*g**3 - 2/7*g**o + 0*g + 0.
-2*g**4/7
Let x(j) be the second derivative of -j**8/3360 + j**6/120 + j**5/30 - j**4/12 - j. Let l(z) be the third derivative of x(z). Solve l(u) = 0.
-1, 2
Let j(g) be the third derivative of -g**6/30 + g**5/15 + 12*g**2. Factor j(p).
-4*p**2*(p - 1)
Find d such that -2*d - 5*d**2 - 2*d - 6*d = 0.
-2, 0
Let k(l) = l**2 + l + 1. Let h(d) = -52*d + 140. Let m(i) = -h(i) - 4*k(i). Factor m(u).
-4*(u - 6)**2
Solve 0*m**3 - 2000 + 0*m**3 + 5*m**2 - 2*m**3 - 65*m**2 - 600*m = 0.
-10
Factor 16/3*o**3 - 5/3*o**2 - 2/3*o - 3*o**4 + 0.
-o*(o - 1)**2*(9*o + 2)/3
Solve -3*w**2 - 140 + 68 + 69 + 6*w = 0 for w.
1
Factor -14/3*a**2 - 2*a + 0.
-2*a*(7*a + 3)/3
Factor -20*s**2 - 35/4*s**3 - 5*s + 0.
-5*s*(s + 2)*(7*s + 2)/4
Let y(m) = -m**2 + 1. Let x(d) = 2*d**3 + 4*d**2 - 6. Let q(i) = 2*x(i) + 12*y(i). Factor q(c).
4*c**2*(c - 1)
Let a(z) be the third derivative of 7*z**5/60 + z**4/12 + z**3 + 4*z**2. Let h(w) = w**2 + 1. Let o(r) = a(r) - 6*h(r). Solve o(i) = 0.
-2, 0
Solve -46/5*g**3 + 4/5 - 23/5*g**4 - 7*g**2 - 4/5*g**5 - 4/5*g = 0.
-2, -1, 1/4
Let w(x) be the second derivative of -1/2*x**4 + 3*x + 0 + 2/3*x**3 - 1/21*x**7 + 0*x**2 + 1/5*x**6 - 1/10*x**5. What is p in w(p) = 0?
-1, 0, 1, 2
Let n be (1 - 3)/(8/(-16)). Let c be 0/(n/8*2). Solve 0 + 1/3*o**5 - 1/3*o**3 + 0*o**4 + 0*o + c*o**2 = 0.
-1, 0, 1
Let v(i) 