 - 3/2*k**p + 3/4*k**5.
3*k*(k - 3)**2*(k + 1)**2/4
Find f such that 1/6*f**3 + 5/6*f**2 + 0 - 1/6*f**4 + 1/2*f = 0.
-1, 0, 3
Let s(q) be the second derivative of q**6/225 - 7*q**5/300 + q**4/20 - 7*q**3/6 - 30*q. Let t(v) be the second derivative of s(v). Suppose t(b) = 0. What is b?
3/4, 1
Let d = -584 - -586. Let z(u) be the first derivative of -8/15*u - 14/15*u**3 - 4/3*u**d + 1. Factor z(n).
-2*(3*n + 2)*(7*n + 2)/15
Let c(t) = -2*t + 18. Let i be c(-3). Let y be (i/(-30))/(5/(-25)). Solve -2/7*q**5 - 2/7*q**2 + 0 + 2/7*q**3 + 0*q + 2/7*q**y = 0 for q.
-1, 0, 1
Let j(m) be the second derivative of -13/2*m**3 - 9/4*m**4 + 1/5*m**5 + 17*m + 0 - 4*m**2. Factor j(f).
(f - 8)*(f + 1)*(4*f + 1)
Let u = -4/1237 - -12422/16081. Suppose -4/13*v - 4/13*v**3 + 0 + u*v**2 = 0. Calculate v.
0, 1/2, 2
Let d(j) be the second derivative of -2*j**6/15 + 8*j**5/5 - 7*j**4 + 12*j**3 + 9*j. Factor d(s).
-4*s*(s - 3)**2*(s - 2)
Determine p, given that 0 + 0*p**2 + 0*p + 62*p**3 - 1/2*p**4 = 0.
0, 124
Let n(k) be the second derivative of k**6/165 - 2*k**5/5 + 161*k**4/22 + 4*k**3/3 - 44*k**2 - 37*k + 3. Suppose n(b) = 0. What is b?
-1, 1, 22
Let g = 73/26 + 22/13. Let d(f) = -6*f**3 - 119*f**2 + 18*f - 38. Let m be d(-20). Let -g*s**m - 6*s - 2 = 0. Calculate s.
-2/3
Let j(k) be the first derivative of 2/21*k**3 + 0*k - 16 - 2/7*k**2. Suppose j(f) = 0. What is f?
0, 2
Suppose -5*t + 20 = -14*m + 13*m, -15 = 3*m. Find w such that -9/2 - 7/2*w**2 + 1/2*w**t + 15/2*w = 0.
1, 3
Let x(t) = t**2 + 8*t - 3. Let i(m) = m**2 - 1. Let f(k) = 6*i(k) - 2*x(k). What is y in f(y) = 0?
0, 4
Let s(h) be the first derivative of h**6/30 - 3*h**5/20 + 2*h**3/3 + 20*h - 20. Let y(d) be the first derivative of s(d). Factor y(k).
k*(k - 2)**2*(k + 1)
Let b(x) = x - 2. Let q be b(5). Let 8*i**2 - 12*i + 7*i**3 + 10*i**2 - 3*i**4 - 15 + 5*i**q = 0. What is i?
-1, 1, 5
Let n(h) be the first derivative of h**3/12 + 51*h**2/8 + 25*h/2 + 11. Determine a so that n(a) = 0.
-50, -1
Let c(p) be the second derivative of -p**5/4 - 5*p**4 - 35*p**3/2 - 25*p**2 - 30*p - 4. Find b, given that c(b) = 0.
-10, -1
Let t(z) = -z**2 - 1. Suppose 3*r + 30 = 5*s, 0*r - r - 20 = -5*s. Let l(y) = -3*y**2 - 1. Let j(v) = s*l(v) - 6*t(v). Solve j(u) = 0.
-1, 1
Let b(p) be the second derivative of 0 - 19*p - 1/126*p**7 + 0*p**4 + 1/90*p**6 + 0*p**2 + 0*p**3 + 0*p**5. Solve b(t) = 0.
0, 1
Let b(x) be the first derivative of -4*x**3/3 + 260*x**2 - 16900*x - 107. Factor b(l).
-4*(l - 65)**2
Let i(w) be the first derivative of -3*w**5/5 - 11*w**4/8 + w**3/3 + 43. Factor i(d).
-d**2*(d + 2)*(6*d - 1)/2
Let q be 1248/(-1014)*(-4)/8. Solve -2/13*d**4 - q*d**3 - 8/13*d**2 + 0*d + 0 = 0.
-2, 0
Let j(l) = 8 + 2*l - 8. Let h be j(8). What is z in 4*z - h*z**5 - 25*z**4 + 5*z**4 - 5*z**2 + 25*z**2 + 12*z**3 = 0?
-1, -1/4, 0, 1
Let w(i) = -i**3 - 41*i**2 + 20*i. Let l(h) = 8*h**2 - 4*h. Suppose -69 = 3*z + 3*j, -j + 2 = 3. Let r(o) = z*l(o) - 4*w(o). Solve r(k) = 0.
0, 1, 2
Factor 20*z**3 + 1 + 5*z**4 - 142391*z**2 - 1 + 142396*z**2 - 30*z.
5*z*(z - 1)*(z + 2)*(z + 3)
Let l(u) be the second derivative of 1/40*u**6 - 8*u + 0*u**3 + 3/20*u**5 + 1/4*u**4 - 4*u**2 + 0. Let j(g) be the first derivative of l(g). Factor j(q).
3*q*(q + 1)*(q + 2)
Factor -1/3*t**3 - 23/3*t - 11/3 - 13/3*t**2.
-(t + 1)**2*(t + 11)/3
Suppose 185*o = -25*o + 30*o + 360. Let -2/3 + 1/3*k**o - 1/3*k = 0. Calculate k.
-1, 2
Let j(i) be the third derivative of 0 + 1/4*i**4 + 0*i**5 + 0*i + 2/3*i**3 - 14*i**2 - 1/60*i**6. What is y in j(y) = 0?
-1, 2
Let s(f) be the third derivative of 3/70*f**7 - f**4 + 0*f - 2*f**2 + 11/10*f**5 + 0*f**3 - 17/40*f**6 - 34. Find c, given that s(c) = 0.
0, 2/3, 1, 4
Let g(z) be the first derivative of z**6/21 + 8*z**5/35 - 15*z**4/14 - 4*z**3/3 + 4*z**2 + 48*z/7 + 168. Let g(y) = 0. Calculate y.
-6, -1, 2
Let k = 2679 + -2679. Let r(x) be the third derivative of 0 + 1/70*x**7 - 1/20*x**5 - x**2 + k*x + 1/40*x**6 + 0*x**3 - 1/8*x**4. Find y, given that r(y) = 0.
-1, 0, 1
Let q(i) be the second derivative of 1/45*i**6 + 0*i**5 + 0*i**2 - 1/18*i**4 + 0 + 0*i**3 - 9*i. Solve q(n) = 0 for n.
-1, 0, 1
Factor 0 + 4/5*j**2 - 1/5*j**3 + 0*j.
-j**2*(j - 4)/5
Let m(s) = 5*s + 12. Let j be m(-5). Let b = j + 15. What is q in 2/9*q + 0 - 2/9*q**b = 0?
0, 1
Let m be 1285/(-2)*(-273)/(-130). Let k = -1335 - m. Factor 9/2 - 21/4*x**2 + k*x.
-3*(x - 3)*(7*x + 2)/4
Let u(q) be the first derivative of q**7/840 + q**6/144 + q**5/120 - 14*q**3/3 + 24. Let n(z) be the third derivative of u(z). Find p, given that n(p) = 0.
-2, -1/2, 0
Let x = 20 + -2. Factor 75*h + 8*h**3 - x*h**2 - 3*h**3 - 21 - 17*h**2 - 24.
5*(h - 3)**2*(h - 1)
Suppose 5*s - 16 + 1 = 0. Let c = -2794 + 5589/2. Determine g so that 1/2*g**s - 1/2*g - c*g**2 + 1/2 = 0.
-1, 1
Let m(s) be the third derivative of -s**6/40 - 3*s**5/10 - 3*s**4/8 + 5*s**3 + 82*s**2 - 2. What is h in m(h) = 0?
-5, -2, 1
Let l = 2/67727 - -67703/812724. Factor -l*g**4 + 7/12*g**2 + 5/3*g - 1/6*g**3 + 1.
-(g - 3)*(g + 1)*(g + 2)**2/12
Suppose -56/11 - 10*h + 2/11*h**3 - 52/11*h**2 = 0. Calculate h.
-1, 28
Let g(a) = -a**3 - 7*a**2 - 6*a + 3. Let s be g(-6). Let m = s + 1. Factor j**3 + 2*j**5 + 7*j**4 + 2*j**3 + j**2 - 4*j**m - j**5.
j**2*(j + 1)**3
Let h(k) be the second derivative of 13*k**6/180 - 11*k**5/120 - 10*k**4/9 - k**3/3 - 5*k - 17. Let h(l) = 0. What is l?
-2, -2/13, 0, 3
Let i be (-19264)/19350 + (-1 - 2*-1). Let a(n) be the second derivative of -1/90*n**4 + 0*n**3 + 0*n**5 + 0*n**2 + i*n**6 + 0 - 7*n. Let a(d) = 0. Calculate d.
-1, 0, 1
Factor 0*x + 0 + 24*x**2 + 3/5*x**3.
3*x**2*(x + 40)/5
Let b(w) be the third derivative of w**9/756 - w**8/840 + 5*w**4/12 - 11*w**2. Let z(h) be the second derivative of b(h). Find y such that z(y) = 0.
0, 2/5
Let o(z) be the first derivative of z**4/2 - 7*z**3/3 + 2*z**2 + 4*z + 12. Let g(s) = s**3 - s**2 + s. Let h(q) = 3*g(q) - o(q). Let h(u) = 0. What is u?
-4, -1, 1
Let w(y) be the second derivative of 1/80*y**6 + 0 + 36*y - 1/4*y**3 + 9/32*y**4 + 9/80*y**5 - 9/4*y**2. Solve w(z) = 0 for z.
-3, -2, 1
Suppose 0 = 523*l - 505*l - 54. Let a(n) be the first derivative of -3/2*n**2 + 2*n - 9 + 1/3*n**l. Solve a(g) = 0 for g.
1, 2
Find f such that -76/11*f**2 + 38/11 + 38/11*f**4 + 2/11*f - 4/11*f**3 + 2/11*f**5 = 0.
-19, -1, 1
Let r(m) be the second derivative of -m**6/15 - 3*m**5/10 + 2*m**4/3 - m - 9. Factor r(f).
-2*f**2*(f - 1)*(f + 4)
Suppose -3*g = -4*v - 12, 5*g + 5 - 25 = -3*v. Let n be (-65)/60 - 56/(-32). What is x in v*x**2 - 2/9*x**3 + 4/9 + n*x = 0?
-1, 2
Let d(m) be the third derivative of -m**5/15 - 14*m**4/3 - 18*m**3 - 213*m**2. Solve d(p) = 0.
-27, -1
Suppose 2*n**3 + 2/7*n**4 + 40/7*n + 16/7 + 36/7*n**2 = 0. What is n?
-2, -1
Let w(o) be the third derivative of -o**6/160 - 7*o**5/60 - 17*o**4/32 - 7*o**3/12 + 82*o**2. Factor w(d).
-(d + 2)*(d + 7)*(3*d + 1)/4
Let i(y) be the first derivative of -1 - 1/2*y - 5/4*y**3 - 17/8*y**2. Solve i(v) = 0 for v.
-1, -2/15
Let m be 3*((-1370)/(-165) + (-2 - 6)). Factor -2/11*f**2 + m*f - 12/11.
-2*(f - 3)*(f - 2)/11
Let j(a) be the second derivative of 0*a**3 + 0*a**2 + 0 + 19*a + 5/4*a**4 - 1/4*a**5. Factor j(u).
-5*u**2*(u - 3)
Factor 26612 + 810*w - 397 + 3*w**2 + 28460.
3*(w + 135)**2
Factor 8*c + 22 - 546*c**2 - 6 + 547*c**2.
(c + 4)**2
Let q(u) be the second derivative of 3*u**5/20 - u**4/4 - 52*u. Factor q(y).
3*y**2*(y - 1)
Let r(a) = a**2 - 4. Let w be r(-3). Factor 172 - 15*h**2 + 10*h - 172 + w*h**4.
5*h*(h - 1)**2*(h + 2)
Let b be -55*10/(-25)*1. Factor 28*x + 125 + x**4 + b*x - 60*x**2 + 340*x**3 - 2*x**4 - 326*x**3.
-(x - 5)**3*(x + 1)
Let k(a) be the first derivative of 5*a**6/6 - 5*a**5 + 35*a**4/4 - 5*a**3 + 106. Factor k(c).
5*c**2*(c - 3)*(c - 1)**2
Solve 684/5*d + 3/5*d**2 + 38988/5 = 0 for d.
-114
Let d(m) be the first derivative of -13 - 5*m - 5/3*m**3 + 5*m**2. Find a such that d(a) = 0.
1
Let m = 75002/5 - 15000. Factor -m - 1/5*z**2 + 3/5*z.
-(z - 2)*(z - 1)/5
Let l(j) be the first derivative of -1/5*j**5 - 1/3*j**3 - 3/4*j**4 + 3/2*j**2 + 10 + 2*j. Factor l(w).
-(w - 1)*(w + 1)**2*(w + 2)
Let x(r) be the second derivative of -r**6/180 + r**5/30 - r**4/12 + 11*r**3/6 + 12*r. Let f(p) be the second derivative of x(p). Factor f(i).
-2*(i - 1)**2
Let w(s) = -4*s**3 - 8*s**2