*2 - k**5 - 7*k**4 - k**x + 10*k**4 - 2*k**3.
-k**2*(k - 1)**3
Let a(b) be the third derivative of 49*b**6/40 - 7*b**5/20 - 33*b**4/8 - 9*b**3/2 + 49*b**2. Factor a(y).
3*(y - 1)*(7*y + 3)**2
Let b(q) be the second derivative of -5*q**5/4 - 5*q**4/4 + 5*q**3/3 + q + 12. Find h such that b(h) = 0.
-1, 0, 2/5
Let b(w) be the second derivative of -w**7/63 - 2*w**6/45 + w**5/15 + 2*w**4/9 - w**3/9 - 2*w**2/3 + 28*w. Suppose b(r) = 0. What is r?
-2, -1, 1
Let b be -3*(-17)/9 + -5. Let -2/9 + b*q + 8/9*q**5 + 0*q**4 + 2/9*q**2 - 14/9*q**3 = 0. Calculate q.
-1, 1/2, 1
Let i = -338/5 + 68. Let q(x) be the first derivative of -i*x**3 + 0*x**2 + 1/10*x**4 + 8/5*x + 1. Determine c, given that q(c) = 0.
-1, 2
Let m(j) = 24*j**3 - j**2. Let r be m(1). Let u = r + -20. Determine z, given that 1/2*z**u + 1/4 + 0*z**2 - 1/2*z - 1/4*z**4 = 0.
-1, 1
Let z = 20/63 + -2/21. Let p(k) be the third derivative of -k**2 - z*k**3 - 1/180*k**6 + 0*k + 1/45*k**5 + 1/36*k**4 + 0. Factor p(v).
-2*(v - 2)*(v - 1)*(v + 1)/3
Factor -3/7*n - 2/7 - 1/7*n**2.
-(n + 1)*(n + 2)/7
Let x(c) be the second derivative of -5*c**4/3 + 14*c**3/3 - 4*c**2 - c. Factor x(s).
-4*(s - 1)*(5*s - 2)
Let d(u) be the first derivative of 0*u**3 + 1/30*u**5 - 2*u + 1/135*u**6 + 1/27*u**4 + 0*u**2 - 1. Let j(t) be the first derivative of d(t). Factor j(k).
2*k**2*(k + 1)*(k + 2)/9
Suppose z = -4*z + 10. Factor -2*r**3 + 2*r**z + 0*r**3 + r**3 + 5*r**3 + 2*r**4.
2*r**2*(r + 1)**2
Suppose 24*z - 52 = 11*z. What is x in 2*x**5 - 7/4*x**3 - 1/4*x + 3/2*x**2 + 0 - 3/2*x**z = 0?
-1, 0, 1/4, 1/2, 1
Let i be (-10)/40 - 17/(-36). Let g = 13/18 - i. Let 1/2*a**3 - 1/2*a**4 + 0 - g*a + 1/2*a**2 = 0. What is a?
-1, 0, 1
Let d(b) be the first derivative of -4 + 0*b**2 + 1/30*b**4 - 2*b + 1/15*b**3. Let u(n) be the first derivative of d(n). Factor u(t).
2*t*(t + 1)/5
Let y be (14/35)/((-1)/15). Let u be (-3 - 0)/(45/y). Suppose 2/5*k**2 - u*k**4 + 0 - 2/5*k**3 + 2/5*k = 0. What is k?
-1, 0, 1
Let t = 6 + -3. Suppose -t*m + 0 = 2*v + 3, 3*v - 3*m = 18. Solve -3*q**3 + 0*q + q**2 - v*q + 2*q**3 + 5*q = 0.
-1, 0, 2
Let t(z) be the third derivative of -z**7/140 - z**6/45 + z**5/12 + z**4/6 + z**3/2 - z**2. Let s(v) be the first derivative of t(v). Solve s(k) = 0.
-2, -1/3, 1
Let h be -3*(-3)/((-9)/(-4)). Factor 4*b**3 + 4*b**4 + 2*b**5 - 2*b - h*b**4 - 4*b**5.
-2*b*(b - 1)**2*(b + 1)**2
Let j(r) = -5*r - r**2 + 0 - 2 - 1. Let u be j(-3). Suppose 3*o**4 + 0*o**2 + o**2 + 0*o**5 + 3*o**u + o**5 = 0. Calculate o.
-1, 0
Let z(p) = 3*p**4 - 5*p**3 - 2*p**2 + 2*p. Let s(a) = -10*a**4 + 15*a**3 + 7*a**2 - 7*a. Let g(h) = -2*s(h) - 7*z(h). What is y in g(y) = 0?
0, 5
Let g be 39/12 - (-5)/(-20). Let k(f) be the second derivative of 1/12*f**4 + 0 - 2/3*f**g + f + 2*f**2. Determine u, given that k(u) = 0.
2
Let p(b) = -20*b**3 + 30*b**2 - 15*b - 5. Let n(m) = -19*m**3 + 29*m**2 - 14*m - 4. Let a(h) = -5*n(h) + 4*p(h). Factor a(f).
5*f*(f - 1)*(3*f - 2)
Factor -3/2*b**3 + 9/4*b - 3/4*b**5 + 3/2*b**2 - 9/4*b**4 + 3/4.
-3*(b - 1)*(b + 1)**4/4
Let o be 5/15*(1 + 111/(-120)). Let j(z) be the second derivative of 0 + 5/12*z**3 - 1/6*z**4 + o*z**5 - 2*z - 1/2*z**2. Factor j(k).
(k - 2)*(k - 1)**2/2
Let f(x) be the first derivative of -x**7/84 + x**5/20 - x**3/12 + 10*x - 8. Let t(m) be the first derivative of f(m). Factor t(p).
-p*(p - 1)**2*(p + 1)**2/2
Solve 4/7 + 2/7*v**3 + 8/7*v**2 + 10/7*v = 0 for v.
-2, -1
Let n(q) be the first derivative of 4 - 3/20*q**4 - 6/5*q + 3/10*q**2 + 2/5*q**3. Factor n(l).
-3*(l - 2)*(l - 1)*(l + 1)/5
Suppose 0*q + 4*v - 30 = -2*q, 4*q = v + 15. Let h(j) = -j**3 + 4*j**2 + 4*j + 7. Let y be h(q). Solve -2*g**y - g**4 + 7*g**3 - 5*g**3 + 2*g**2 + 1 - 2*g = 0.
-1, 1
Let v(b) be the second derivative of b**6/135 - 7*b**5/90 + 5*b**4/18 - b**3/3 - 3*b. Factor v(w).
2*w*(w - 3)**2*(w - 1)/9
Let o = -268 - -270. Factor -1/3 + 1/3*c**o + 0*c.
(c - 1)*(c + 1)/3
Let z = 13133/30611 + -2/4373. Factor 3/7*a**2 + z*a + 0.
3*a*(a + 1)/7
Let d(j) be the second derivative of -j**6/180 - j**5/30 - j**3/3 - 4*j. Let t(b) be the second derivative of d(b). Factor t(n).
-2*n*(n + 2)
Let w(p) be the third derivative of -p**9/22680 - p**8/5040 + p**7/3780 + p**6/540 + p**4/8 + 9*p**2. Let s(h) be the second derivative of w(h). Factor s(m).
-2*m*(m - 1)*(m + 1)*(m + 2)/3
Let t(k) = k**3 + 6*k**2 - 7*k + 2. Let n be t(-7). Let b(g) be the first derivative of -n + 0*g + 1/8*g**4 + 0*g**3 + 0*g**2. Find j, given that b(j) = 0.
0
Let u(l) be the second derivative of l**4/42 + l**3/21 + 2*l. Factor u(d).
2*d*(d + 1)/7
Let z(x) be the third derivative of x**10/50400 - x**9/20160 - x**8/6720 + x**7/1680 - x**5/30 - x**2. Let t(p) be the third derivative of z(p). Factor t(u).
3*u*(u - 1)**2*(u + 1)
Suppose 3*i + 3 = 3*j, -4*i = -5*i + 4*j - 4. Let w be 3 - i*(-3)/6. Factor 4*z**2 + w*z + 4*z**3 + 2*z**2 - z**3.
3*z*(z + 1)**2
Factor -2/5*r + 2*r**2 + 0.
2*r*(5*r - 1)/5
Let s be 10/25 - 0/(-2). Let p(t) be the first derivative of 2/15*t**3 - s*t + 0*t**2 - 3. Suppose p(h) = 0. Calculate h.
-1, 1
Let n(l) be the first derivative of 3*l**5/5 + 3*l**4/4 - 11. Let n(r) = 0. Calculate r.
-1, 0
Let t be (5 + -1 - 5)*-15. Factor -19*b**4 + 36*b**4 + 7*b**5 - t*b**4 - 7*b**3 - 2*b**2.
b**2*(b - 1)*(b + 1)*(7*b + 2)
Let y(s) be the second derivative of 0*s**5 + 0 - 1/3*s**3 + 1/3*s**4 - 2/15*s**6 + 0*s**2 + s + 1/21*s**7. Find n, given that y(n) = 0.
-1, 0, 1
Let d(v) be the third derivative of v**7/1575 + v**6/900 - v**5/90 + v**4/60 - 49*v**2. Let d(s) = 0. What is s?
-3, 0, 1
Let f(w) be the second derivative of -w**5/40 + w**3/12 + 4*w. What is z in f(z) = 0?
-1, 0, 1
Let u be -2*(10/(-4) - 0). Suppose -u*g = -10 - 10. Factor 5*z + z**3 + 0*z + z - g*z + 3*z**2.
z*(z + 1)*(z + 2)
Suppose 5*r - 4*d - 2 - 21 = 0, -3*r + 5 = 2*d. Factor -5*v + 4*v - 2*v**2 + r*v.
-2*v*(v - 1)
Let o(m) be the first derivative of -4*m**3/3 + 10*m**2 - 24*m + 76. Solve o(z) = 0.
2, 3
Suppose -84 = 4*o + 36. Let b be (o/3 + 0)/(-2). Factor -12*p + 16*p**2 - 10*p**4 - 2*p**4 + 2 - 6*p**4 + 4*p**3 + 8*p**b.
2*(p - 1)**3*(p + 1)*(4*p - 1)
Factor 0 - 1/4*l**5 + 0*l - 1/2*l**4 + 0*l**2 - 1/4*l**3.
-l**3*(l + 1)**2/4
Let g(o) be the second derivative of o**7/350 - o**6/300 - o**5/75 + o**4/60 + o**3/30 - o**2/2 + 2*o. Let u(y) be the first derivative of g(y). Factor u(h).
(h - 1)**2*(h + 1)*(3*h + 1)/5
Let b = 357127/96 - 3720. Let t(n) be the third derivative of -b*n**4 + 7/480*n**6 + 0*n - 2*n**2 + 1/12*n**3 - 1/120*n**5 + 0. Solve t(h) = 0 for h.
-1, 2/7, 1
Factor 4/5*r - 2/5*r**3 - 2/5*r**2 + 0.
-2*r*(r - 1)*(r + 2)/5
Let z(h) be the third derivative of 0 - 1/80*h**5 + 0*h + h**2 - 5/96*h**4 - 1/12*h**3. Factor z(j).
-(j + 1)*(3*j + 2)/4
Let a(v) = 5*v**3 - v**2 + 2*v. Let r(h) = h**3. Let o(q) = a(q) - 6*r(q). Factor o(b).
-b*(b - 1)*(b + 2)
Let r(x) be the third derivative of x**7/2520 + x**6/360 + x**5/120 - x**4/24 + 4*x**2. Let i(a) be the second derivative of r(a). Factor i(f).
(f + 1)**2
Let m be (-4)/(-3) - -4*4/24. Factor 2*q**3 + 2/3*q**5 + 2*q**4 + 0 + 2/3*q**m + 0*q.
2*q**2*(q + 1)**3/3
Let g be (679/3)/(-7)*1. Let k = -32 - g. Let -2/3*n + 1/3*n**5 - k*n**4 + 0 + 5/3*n**2 - n**3 = 0. Calculate n.
-2, 0, 1
Let a(y) be the second derivative of -y**5/20 + 5*y**4/12 - 7*y**3/6 + 3*y**2/2 - 8*y. Solve a(h) = 0 for h.
1, 3
Let x(y) = -12*y**2 + 2*y + 9*y - y**3 + 5 - 3*y. Let c(w) = w**3 + 6*w**2 - 4*w - 3. Let s(m) = -5*c(m) - 3*x(m). Factor s(h).
-2*h*(h - 2)*(h - 1)
Suppose 1/2*t + 0 + 3/4*t**2 - 1/2*t**3 - 3/4*t**4 = 0. What is t?
-1, -2/3, 0, 1
Let r(z) = 0*z**2 + z**2 + 2 + z**3 + z**2 + 4*z + 2*z**2. Let h be r(-2). Factor 3*d**3 + 11/4*d**h - 1/4 - 1/2*d.
(d + 1)*(3*d - 1)*(4*d + 1)/4
Let u(o) = -2*o - 3*o**2 - 7*o**3 - 1 + 2*o**2 + 6*o**3 + 5*o**2. Let m be u(2). Let -1/4*j**m + 1/4*j - 1/4*j**2 + 1/4 = 0. Calculate j.
-1, 1
Factor -6/13*s + 2/13*s**3 + 0*s**2 - 4/13.
2*(s - 2)*(s + 1)**2/13
Determine g so that -2/13*g + 2/13*g**4 + 2/13*g**3 + 4/13 - 6/13*g**2 = 0.
-2, -1, 1
Let l = -5 - -11. Let h(g) = -g**3 + 6*g**2 + 2*g - 9. Let y be h(l). Factor -2*m**3 + 4*m**2 - 2*m - 3 + y.
-2*m*(m - 1)**2
Factor 441/4*r**4 - 77/2*r**3 - 189/4*r - 207/2*r**2 + 343/4*r**5 - 27/4.
(r - 1)*(r + 1)*(7*r + 3)**3/4
Let p(h) be the third derivative of -4/3*h