 derivative of -3*k**4/14 + 2*k**3/3 - 8*k/7 + 11. What is s in j(s) = 0?
-2/3, 1, 2
Let j be 2/6*(0 - 3/(-2)). Factor -1/4*x**4 + 0*x**3 - 1/4 + 0*x + j*x**2.
-(x - 1)**2*(x + 1)**2/4
Suppose 5*f = -2*u + 18 + 3, -2*f = 4*u - 34. Let s be u/5*5/2. Factor 0*v**3 + 0*v + 3*v**4 + v**5 - 2*v**2 - 1 - s*v + v + 2*v**3.
(v - 1)*(v + 1)**4
Let x be -2 - (-2 + 3 - 13/4). Factor 0*b - 1/2*b**3 + 1/4*b**2 + x*b**4 + 0.
b**2*(b - 1)**2/4
Let r(u) be the first derivative of -u**6/36 + u**5/30 + u**4/24 - u**3/18 + 13. Find c, given that r(c) = 0.
-1, 0, 1
Let r(c) be the third derivative of -c**5/300 - c**4/120 + c**2. Factor r(p).
-p*(p + 1)/5
Let f(z) = 3*z**2 - 6*z + 6. Let c(n) = -n + 1. Let w(l) = -6*c(l) - f(l). Factor w(q).
-3*(q - 2)**2
Let h(q) = q**4 + q**3 + q**2 + 1. Let r(g) = -5*g**4 - 2*g**3 - 3*g**2 - 2*g - 4. Let m(z) = 12*h(z) + 3*r(z). Determine j, given that m(j) = 0.
-1, 0, 1, 2
Suppose 0 = 28*b - 33*b + 10. Solve 2/5*l + 0 - 2/5*l**b = 0.
0, 1
Let h(l) = l**4 + 19*l**3 + l**2 - 7*l - 7. Let c(m) = -6*m**3 + 2*m + 2. Let i(z) = 7*c(z) + 2*h(z). Solve i(y) = 0.
0, 1
Let q = -12 + 85/7. Find y such that 0 - 1/7*y + q*y**2 = 0.
0, 1
Let z(n) be the first derivative of -4 + 0*n**2 - 1/16*n**4 + 0*n + 1/12*n**3 + 1/24*n**6 - 1/20*n**5. Factor z(q).
q**2*(q - 1)**2*(q + 1)/4
Let h(d) = -410*d**2 - 365*d - 80. Let l(a) = a**2 + a. Let r(w) = h(w) + 5*l(w). Factor r(z).
-5*(9*z + 4)**2
Solve -16*v - 48 - 4/3*v**2 = 0 for v.
-6
Let y(i) = -7*i**2 + 5*i + 12. Let p(z) = 15*z**2 - 10*z - 25. Let w(h) = 3*p(h) + 5*y(h). Let w(a) = 0. Calculate a.
-1, 3/2
Let v be ((-44)/(-72))/(-11)*-2. Let x(i) be the second derivative of 0 - 1/4*i**4 + 7/60*i**5 + 3*i + 0*i**2 + v*i**3. Factor x(z).
z*(z - 1)*(7*z - 2)/3
Let j(q) be the first derivative of -1/6*q**3 + 0*q + 3 + 1/20*q**5 + 0*q**2 - 1/16*q**4. Factor j(r).
r**2*(r - 2)*(r + 1)/4
Let s be 5/2*(-6)/(-5). Factor -q**2 + 1/2*q**s + 1 - 1/2*q.
(q - 2)*(q - 1)*(q + 1)/2
Suppose 5*k = -0*y - 3*y + 24, 3*k - 15 = -2*y. Suppose -4*t + 4*t**4 + 6*t**k + 5*t**4 + 3*t**5 + 4*t = 0. Calculate t.
-2, -1, 0
Factor 3/5 - 6/5*n + 3/5*n**2.
3*(n - 1)**2/5
Let m(t) = -3*t**2 - 2*t - 3. Let d(i) = -i**2 + i. Let n(j) = -2*d(j) + m(j). Let a(q) = -q - 1. Let p(o) = 4*a(o) - n(o). Factor p(z).
(z - 1)*(z + 1)
Let x = 374/3 - 124. Factor -1/3*o**2 - 1/3 - x*o.
-(o + 1)**2/3
Let m be 102/119*3/((-45)/(-42)). Let 0 + m*s**2 - 18/5*s**3 - 2/5*s = 0. What is s?
0, 1/3
Suppose 0 + 0*p + 0*p**2 + 2/3*p**3 = 0. What is p?
0
Let n be (18/(-4))/((-8)/16). Let u = 11 - n. Factor 0*l**u + 0 + 0*l + 1/3*l**4 + 1/3*l**3.
l**3*(l + 1)/3
Let j = 1 + -1. Let v = 10 - 8. Factor -5*p**3 + p**3 - 2*p**4 - v*p**2 + j*p**4.
-2*p**2*(p + 1)**2
Let d(z) = -z. Let i = -4 + 5. Let l(s) be the second derivative of s**4/12 - 2*s**3/3 - s**2 - s. Let v(g) = i*l(g) - 5*d(g). Find m such that v(m) = 0.
-2, 1
Let m be 128/22 + (-7)/((-77)/2). Let p(c) be the first derivative of -9/2*c**2 - 21/4*c**4 + m*c + 4 - 12*c**3. Let p(y) = 0. What is y?
-1, 2/7
Let t(p) be the third derivative of -2*p**2 + 0*p - 1/12*p**3 - 1/240*p**5 + 0 - 1/32*p**4. Suppose t(j) = 0. Calculate j.
-2, -1
Let j(b) be the third derivative of 0*b**3 + 3*b**2 + 0*b**4 + 1/480*b**6 + 0*b - 1/240*b**5 + 0. Factor j(o).
o**2*(o - 1)/4
Let v(k) be the first derivative of k**4/2 + 4*k**3/3 - k**2 - 4*k + 3. Find w, given that v(w) = 0.
-2, -1, 1
Let f(q) be the third derivative of q**8/3360 + q**7/1008 + q**6/1440 + q**4/3 + q**2. Let o(l) be the second derivative of f(l). Solve o(i) = 0 for i.
-1, -1/4, 0
Let h = -125 - -55. Let p be (-8)/h*605/22. Find u, given that -34/7*u**4 - p*u**2 + 6*u**3 + 0 + 10/7*u**5 + 4/7*u = 0.
0, 2/5, 1
Let s(x) = -x**2 + x + 1. Let y(z) = -3*z**2 + 4*z + 1. Let t(o) = -6*s(o) + 3*y(o). Factor t(u).
-3*(u - 1)**2
Let y(t) be the first derivative of -1 - 2/15*t**3 + 4/5*t**2 - 8/5*t. Let y(q) = 0. What is q?
2
Let m(g) = -4*g**2 + 4*g + 8. Let r(s) = s**2. Let p(x) = -m(x) + 8*r(x). Factor p(o).
4*(o - 1)*(3*o + 2)
Let r be (-3 + 1)*(-1)/1. Factor 3*b**3 + 3 + 8*b + b + 9*b**r + 0.
3*(b + 1)**3
Let t = -6 + 14. Suppose -5*w + t = -w. Determine z, given that 0*z - 3*z**4 - 4/3*z**w + 0 + 4*z**3 = 0.
0, 2/3
Let a(b) be the first derivative of 32*b**5/5 - 8*b**4 + 4*b**3 - b**2 + 2*b + 5. Let z(t) be the first derivative of a(t). Factor z(h).
2*(4*h - 1)**3
Let p(t) = t**2 + t - 6. Let z be p(0). Let w be (-2)/(-6) - z/6. Suppose -2*q**2 + w*q + 0 - 10/3*q**3 = 0. What is q?
-1, 0, 2/5
Let r(y) be the third derivative of -y**6/900 + y**4/60 - y**3/6 - 3*y**2. Let v(b) be the first derivative of r(b). Factor v(h).
-2*(h - 1)*(h + 1)/5
Let y(b) be the first derivative of -35*b**3 - 50*b**2 - 20*b - 12. Factor y(g).
-5*(3*g + 2)*(7*g + 2)
Let g(d) be the first derivative of -d**3/12 + 5*d**2/8 + 3*d/2 + 42. Factor g(o).
-(o - 6)*(o + 1)/4
Let s(l) be the first derivative of 972*l**5/5 + 405*l**4 + 264*l**3 + 232*l**2/3 + 32*l/3 + 15. Factor s(k).
4*(k + 1)*(9*k + 2)**3/3
Let m(w) = -w**3 - 6*w**2 - 8*w + 2. Let f be m(-4). Solve 4/7*h + 0 - 2/7*h**f = 0.
0, 2
Let v be 276/456 + (-2)/19. Factor 1/4*i**3 - 3/4*i**2 + 0 + v*i.
i*(i - 2)*(i - 1)/4
Let c(m) be the third derivative of -m**5/105 - m**4/42 + 4*m**3/21 + 15*m**2. Suppose c(a) = 0. Calculate a.
-2, 1
Let o = 8 - 5. Let p(a) be the first derivative of a**3 + 0 + 1 - 12*a - a**3 + a**o. Factor p(l).
3*(l - 2)*(l + 2)
Let f(m) = m**2 - 10*m - 9. Let x be f(11). Let 0*n**x + 4*n**2 + 2*n - 2*n**2 = 0. What is n?
-1, 0
Let p(j) = j**3 - 4*j**2 + 2*j - 7. Let a be p(5). Let q be (-20)/30 + a/33. Solve 6/11*y**3 - q*y**4 - 8/11*y + 0*y**2 + 0 = 0.
-1, 0, 2
Let r(q) = -5*q**3 + 3*q**2 + q - 3. Let u(p) = 1 - 4 + p + 2 + p**3 - 2*p**3. Let d(a) = r(a) - 4*u(a). Let d(y) = 0. What is y?
1
Let d(y) be the third derivative of -y**5/420 + y**4/6 - 14*y**3/3 - 53*y**2. Factor d(k).
-(k - 14)**2/7
Let v(s) = -7*s**2 - 17*s + 5. Let k(p) = 33*p**2 + 84*p - 24. Let n(h) = 5*k(h) + 24*v(h). Factor n(i).
-3*i*(i - 4)
Let m = -193 - -197. What is t in t**5 - 3/4*t**3 - 1/2*t**2 + 1/4*t + t**m + 0 = 0?
-1, 0, 1/2
Let m = 0 + 3. Factor -2*o**2 - 5*o**2 + 3*o**m - 2*o**2 - o + 7*o.
3*o*(o - 2)*(o - 1)
Let k(j) be the first derivative of -44/3*j**3 - 4 + 26*j**2 - 8*j. Factor k(w).
-4*(w - 1)*(11*w - 2)
Let f(z) be the second derivative of z**6/900 - z**5/300 - z**3/2 - 2*z. Let w(h) be the second derivative of f(h). Solve w(g) = 0 for g.
0, 1
Let q(g) be the second derivative of -2*g**7/945 - g**6/270 - g**5/360 - g**4/6 - g. Let z(l) be the third derivative of q(l). Factor z(r).
-(4*r + 1)**2/3
Suppose -23 = 5*w + 17. Let x be (0*(-4)/w)/2. Factor 0 - 2/3*q**4 + x*q**2 + 0*q - 4/3*q**3.
-2*q**3*(q + 2)/3
Let g(x) = -9*x**4 - x**3 + 4*x**2 - 12*x + 5. Let u(f) = -4*f**4 + 2*f**2 - 6*f + 2. Let b(t) = -6*g(t) + 13*u(t). Factor b(o).
2*(o - 1)*(o + 1)**2*(o + 2)
Factor 0*m + 0*m**4 - m**2 + 0 - 1/2*m**5 + 3/2*m**3.
-m**2*(m - 1)**2*(m + 2)/2
Let h be ((-2)/(-2))/(2/18). Suppose n - h = -2*n. Factor 0 + 1/3*u - 2/3*u**n + 1/3*u**5 + 0*u**4 + 0*u**2.
u*(u - 1)**2*(u + 1)**2/3
Let h(c) = 15*c - 15. Let z be h(1). Factor 0 + 4/3*v**3 + 2/3*v**2 + z*v.
2*v**2*(2*v + 1)/3
Let p = -4 + 4. Let o be p/2 - -2 - 2. Factor 0*r**3 - 3*r**2 - 3*r - 3 - r**3 + 2 + o*r**3.
-(r + 1)**3
What is k in 8/9*k**2 - 2/9*k**5 - 2/9*k + 8/9*k**4 + 0 - 4/3*k**3 = 0?
0, 1
Let g(t) be the first derivative of -2/27*t**3 + 0*t - 1/9*t**4 + 1 + 1/9*t**2. Let g(h) = 0. Calculate h.
-1, 0, 1/2
Let f = -588 + 588. Let 1/2*p**2 + f + 1/2*p = 0. What is p?
-1, 0
Let s(i) be the second derivative of i**4/54 + i**3/27 - 2*i**2/9 + 3*i. Factor s(x).
2*(x - 1)*(x + 2)/9
Let k(f) = -f**4 - f**3 - f**2 + f. Let g(j) = -6*j**4 - 18*j**3 + 10*j**2 + 74*j. Let r(x) = -g(x) + 2*k(x). Factor r(b).
4*b*(b - 2)*(b + 3)**2
Suppose 0 - 7/2*w**3 + w + 5/2*w**2 = 0. Calculate w.
-2/7, 0, 1
Suppose 5*x - 6*x = -2. Factor 6*p**3 - 4*p**2 + 2*p**2 - 4*p**2 + 0*p**4 + 2*p - x*p**4.
-2*p*(p - 1)**3
Suppose -q = -2 - 2. Solve 4*b**q + 18*b**3 - 6*b**3 + 4*b - 20*b = 0.
-2, 0, 1
Factor 4/5*a**3 - 2/5*a + 0 + 0*a**2 + 0*a**4 - 2/5*a**5.
-2*a*(a - 1)**2*(a + 1)**2/5
Let u(d) be the first derivative of -d**3/6 + d/2 + 19. Suppose u(w) = 0. Calculate w.
-1, 1
Let a(t) = t + 6. Let 