erivative of n**6/195 - n**4/26 - 2*n**3/39 + 49*n. Factor z(q).
2*q*(q - 2)*(q + 1)**2/13
Let g(l) be the third derivative of 3*l**2 + 0*l + 1/6*l**3 + 1/12*l**4 - 2/15*l**5 + 1/60*l**6 + 0 + 1/30*l**7 - 1/84*l**8. What is n in g(n) = 0?
-1, -1/4, 1
Let p(k) be the second derivative of 9*k**6/40 - 3*k**5/10 + k**4/6 - k**3/2 + k. Let l(r) be the second derivative of p(r). Factor l(j).
(9*j - 2)**2
Factor -2 + x**5 + 3*x**5 + x + 19*x**4 + 19*x**2 - 20*x**3 + 51*x**3.
(x + 1)**3*(x + 2)*(4*x - 1)
Let s(d) = d + 3. Let f be s(-3). Suppose 11 = 5*w + x, -x = -3*w + 5 - f. Factor -2/7*h**w - 2/7 + 4/7*h.
-2*(h - 1)**2/7
Let b be (-1)/3*36/(-8). Factor 1/4*v**2 + 2*v**5 + b*v**3 + 0*v + 0 + 3*v**4.
v**2*(2*v + 1)**3/4
Suppose 0 + 4/3*m**2 - 4/3*m = 0. What is m?
0, 1
Let l(j) be the first derivative of 13*j**6/10 + 6*j**5/25 - 117*j**4/20 - 32*j**3/5 - 6*j**2/5 - 20. Solve l(p) = 0.
-1, -2/13, 0, 2
Let t(j) be the first derivative of 3*j**4/8 - 2*j**3 + 3*j**2 - 6*j - 5. Let d(q) be the first derivative of t(q). Factor d(m).
3*(m - 2)*(3*m - 2)/2
Let h(t) be the second derivative of t**5/300 - t**4/60 + 2*t**2 - 3*t. Let z(k) be the first derivative of h(k). Factor z(v).
v*(v - 2)/5
Let i be 3/(-3 + (6 - 2)). Solve -4*d**2 - d - 8*d**3 + 9*d + 4*d**i = 0 for d.
-2, 0, 1
Let a(m) be the first derivative of 2*m**3/9 - m**2/3 - 10. Suppose a(o) = 0. Calculate o.
0, 1
Let f be 3/5 - 44/90. Let d(z) be the first derivative of -1/3*z**2 + 3 - f*z**3 - 1/3*z. Solve d(c) = 0.
-1
Let a = -1/50 + 103/150. Let l be (-10)/(-2)*16/40. Suppose a*h**4 + 0 - 2/3*h - 2/3*h**l + 2/3*h**3 = 0. What is h?
-1, 0, 1
Let y be 1*(4 + (-8)/2). Let x(s) be the third derivative of -1/60*s**5 + 0*s + 0 + y*s**4 + 0*s**3 + 2*s**2 - 1/120*s**6. Factor x(w).
-w**2*(w + 1)
Let i(k) be the first derivative of -4*k + 8*k**4 + 1 - k**2 + 70/3*k**3 - 96/5*k**5. Find z, given that i(z) = 0.
-2/3, -1/4, 1/4, 1
Let r = 1145 + -1143. Determine p, given that -2/5*p**r + 1/5*p + 1/5 = 0.
-1/2, 1
Let z(m) be the first derivative of -7*m**5/5 + m**4/2 + 28*m**3/3 - 4*m**2 - 16. Determine n so that z(n) = 0.
-2, 0, 2/7, 2
Let p be (104/10)/(6/15). Suppose -s - 5*n = -p, -3*n = -s - s. Find l, given that -2*l + 5*l**4 + 2*l + 3*l**4 + 2*l**3 + s*l**5 = 0.
-1, -1/3, 0
Let i = -709/10 - -145/2. Find j such that -6*j**2 - 2/5 + 14/5*j - i*j**4 + 26/5*j**3 = 0.
1/4, 1
Let r(s) = -6*s**3 + 5*s**3 + 9*s**3 - 1 + 2*s**2. Let u be r(1). Factor u - h**3 - 2*h**2 + 18*h - 3*h**2 - 21*h.
-(h - 1)*(h + 3)**2
Let l = 53 + -37. Suppose -x - 4*n = l, 2*n + 7 = 4*x - 1. Factor v**3 - 6*v**2 + x*v**2 + 4*v + 2*v**2.
v*(v - 2)**2
Let q(w) be the third derivative of 49*w**6/40 - 7*w**5/2 - 13*w**4/2 - 4*w**3 + 6*w**2. Solve q(m) = 0.
-2/7, 2
Let f(n) be the second derivative of n**5/50 + n**4/60 - n**3/6 + n**2/5 + 6*n. Factor f(t).
(t - 1)*(t + 2)*(2*t - 1)/5
Let a be 1*2/((-2)/(-7)). Suppose -3*l - 20 = -a*l. Suppose -x**2 - 4*x + 0*x + l*x = 0. Calculate x.
0, 1
Find k, given that 2/5 - 2/5*k - 12/5*k**2 = 0.
-1/2, 1/3
Find c such that -58 - 7*c**4 + 59 + 6*c**2 + 0*c**3 - 2*c**3 + 5*c - 3*c**5 = 0.
-1, -1/3, 1
Suppose -3*a = -4*a - 2*s + 25, -5*a = -5*s - 65. Factor -3 + 3*w - 3*w**4 + 11*w**3 + 6*w**2 - a*w**3 + 4*w**5 - w**5.
3*(w - 1)**3*(w + 1)**2
Let d = 4 - 0. Let x be (-4)/(-3 + 0 + 2). Factor -5*a**x - 2*a**5 + 7*a**4 - 4*a**3 + a**2 + 3*a**d.
-a**2*(a - 1)**2*(2*a - 1)
Let k be 9/(-7) + 1 + (-2)/(-7). Factor -3/5*l**5 + 12/5*l**2 + k - 3/5*l - 18/5*l**3 + 12/5*l**4.
-3*l*(l - 1)**4/5
Let y(v) = 2*v**5 + 7*v**4 - 11*v**3 - 7*v**2 - 2*v - 11. Let j(u) = -u**4 + u**3 + u**2 + 1. Let a(r) = 22*j(r) + 2*y(r). Solve a(g) = 0.
-1, 0, 1
Factor 3*s**2 - 13*s**4 - s**3 + 12*s**4 + 3*s + 2 + 2*s.
-(s - 2)*(s + 1)**3
Let h = 6/43 + 105/172. Find m, given that 0 - 3/2*m - h*m**3 - 9/4*m**2 = 0.
-2, -1, 0
Suppose 15*v - 15 = 12*v. Factor 17*u**4 - 2*u**5 + u**2 + 0*u**v - 4*u**3 - 12*u**4.
-u**2*(u - 1)**2*(2*u - 1)
Let u(l) be the third derivative of -l**6/240 + l**5/40 - l**3/3 - 12*l**2. Suppose u(c) = 0. Calculate c.
-1, 2
Let q(h) be the first derivative of -1/8*h**4 + 1 + 0*h**3 + h + 3/4*h**2. Determine n so that q(n) = 0.
-1, 2
Let h(a) = -5*a**2 + 72*a - 432. Let m(w) = 21*w**2 - 288*w + 1728. Let g(d) = 9*h(d) + 2*m(d). Factor g(j).
-3*(j - 12)**2
Let a be (108/84)/(8/14). Determine l so that -3/2*l + 0 + 21/4*l**3 + 9/4*l**4 - a*l**2 - 15/4*l**5 = 0.
-1, -2/5, 0, 1
Let f(y) be the second derivative of -y**6/105 + y**5/14 - y**4/6 + y**3/7 + y - 13. Determine j so that f(j) = 0.
0, 1, 3
Let x be ((-16)/(-56))/(3/7). Let t = x - -2/9. Factor 8/9 + t*h + 2/9*h**2.
2*(h + 2)**2/9
Let j(w) = -2*w**4 - 13*w**3 - 63*w**2 - 78*w - 36. Let v(d) = 2*d**4 + 14*d**3 + 62*d**2 + 78*d + 36. Let s(r) = 4*j(r) + 5*v(r). Factor s(b).
2*(b + 1)*(b + 2)*(b + 3)**2
Solve 15/8 - 3/2*l - 3/8*l**2 = 0 for l.
-5, 1
Let b(d) be the first derivative of -3*d - 2 + 0*d**2 + 0*d**4 + 0*d**3 + 1/10*d**5. Let u(x) be the first derivative of b(x). Factor u(v).
2*v**3
Suppose 28*k - 20 = 18*k. Factor 0 + 1/2*x**k - 3/2*x.
x*(x - 3)/2
Let b = -10 - -13. Factor 16*x**2 + b*x**4 - 16*x**2.
3*x**4
Suppose -2/3*y**3 + 0 + 2/3*y**5 - 2/3*y**2 + 2/3*y**4 + 0*y = 0. Calculate y.
-1, 0, 1
Let i(v) = v**3 + 6*v**2 + v + 3. Let c be i(-6). Let q(k) = -4*k**5 + 15*k**4 + k**3. Let t(r) = -r**5 - r**4 + r**3. Let g(o) = c*t(o) - q(o). Factor g(z).
z**3*(z - 2)*(7*z + 2)
Let o(c) be the third derivative of -c**5/20 + 3*c**4/8 - c**3 + 5*c**2. Factor o(z).
-3*(z - 2)*(z - 1)
Let u(t) be the third derivative of t**6/600 - t**5/300 - t**4/20 + 15*t**2. Suppose u(c) = 0. Calculate c.
-2, 0, 3
Suppose 3*j + 7*n = 3*n - 33, -30 = 3*j + 3*n. Let v be (-3)/j*(1 + 6). Determine p, given that 2/5*p - 2/5 + 2/5*p**2 - 2/5*p**v = 0.
-1, 1
Let q(i) = -i**3 + 7*i**2 - 6*i. Let k be (-2)/(-2) + -3 - -8. Let j be q(k). Solve 2/7*z**3 + j - 4/7*z**2 + 2/7*z = 0 for z.
0, 1
Let p(b) = b**2 + 8*b - 9. Let d be p(-9). What is z in -3*z**5 + 2 + d*z + 27*z**2 - 11*z**2 + 6*z**4 + 2*z**5 - 14*z**3 - 9*z = 0?
1, 2
Let i(p) be the first derivative of -3*p**6 - 32*p**3 - 17*p**2 - 76/5*p**5 - 31*p**4 - 4*p + 4. Factor i(u).
-2*(u + 1)**4*(9*u + 2)
Let h(k) be the second derivative of 2/21*k**3 + 2*k - 3/70*k**5 + 1/105*k**6 + 0 + 1/147*k**7 - 1/42*k**4 + 0*k**2. Let h(d) = 0. Calculate d.
-2, -1, 0, 1
Let n(h) be the second derivative of 2*h**7/105 - 28*h**6/75 + 33*h**5/25 + 112*h**4/15 + 128*h**3/15 - 41*h. Let n(j) = 0. Calculate j.
-1, 0, 8
Let s(b) = 2*b**2 + 18*b + 32. Let r(v) = 2*v. Let f(c) = -2*r(c) + 2*s(c). What is d in f(d) = 0?
-4
Suppose 0 = -7*p - 11 + 32. Let v(b) be the third derivative of 0*b + p*b**2 + 0*b**3 + 0 + 0*b**5 - 1/72*b**4 + 1/360*b**6. Find h, given that v(h) = 0.
-1, 0, 1
Solve -5/6*r**2 + 20/3*r - 40/3 = 0 for r.
4
Suppose 4*s - 5 = f, -17 = -f - 2*f - 4*s. Solve -3/4*b**4 + 3/4*b**f + 1/4*b**5 + 0 + 0*b - 1/4*b**2 = 0 for b.
0, 1
Let i(s) be the third derivative of -s**5/30 + s**4/6 + s**3 - 12*s**2. Factor i(g).
-2*(g - 3)*(g + 1)
Let m(i) be the second derivative of -i**7/42 + 4*i**6/75 + 19*i**5/100 + i**4/10 - i. Determine z so that m(z) = 0.
-1, -2/5, 0, 3
Let x(l) = 4*l**4 + 13*l**3 + l**2 - 13*l + 5. Let b be ((-2)/(-3))/((-2)/6). Let i(y) = -2*y**4 - 6*y**3 + 6*y - 2. Let h(p) = b*x(p) - 5*i(p). Factor h(u).
2*u*(u - 1)*(u + 1)*(u + 2)
Let b be 334*(2 - (-34)/(-16)). Let n = b + 42. Determine z so that -n + 0*z + 1/4*z**2 = 0.
-1, 1
Let u(j) = j**2 - 1. Suppose -2*i + 4*i = -2. Let v(y) = 16*y**3 - 2*y**2 - 7*y - 7. Let s(l) = i*v(l) + 6*u(l). Factor s(n).
-(n - 1)*(4*n + 1)**2
Let n(j) be the third derivative of -2*j**2 + 0*j + 1/20*j**5 + 1/6*j**3 + 1/120*j**6 + 1/8*j**4 + 0. Factor n(x).
(x + 1)**3
What is b in 16/5*b + 52/5*b**2 - 16/5*b**4 - 52/5*b**3 + 0 = 0?
-4, -1/4, 0, 1
Let h(y) = -y**2 - y - 1. Suppose -1 = 5*l - 0*l - 4*q, -2*l = -2*q. Let m(x) = x**2 + 3*x - 1. Let u(k) = l*m(k) + h(k). Solve u(j) = 0 for j.
-2, 0
Let j(u) be the second derivative of u**7/84 + u**6/12 + 7*u**5/40 - u**4/24 - 2*u**3/3 - u**2 + 5*u. Find x such that j(x) = 0.
-2, -1, 1
Let l(y) be the second derivative of -y**4/3 + 16*y**3/3 - 32*y**2 + 17*y. Determine c so that l(c) = 0.
4
Let q(y) = 4*y**2 - 4. Let n(z) = 18*z**2 + 3*z - 18. Let