 - d**6/180 - 4*d**5/45 + d**4/3 - 26*d**2. Factor p(z).
2*z*(z - 2)**2*(z + 3)/3
Let m be 1*-1*-1 - (-345)/(-350). Let a(u) be the second derivative of -m*u**5 + 1/7*u**2 + 2*u + 0 - 1/42*u**4 + 1/21*u**3. Find j such that a(j) = 0.
-1, 1
Let l(w) be the second derivative of w**6/195 + 4*w**5/65 + 4*w**4/13 + 32*w**3/39 + 16*w**2/13 - 35*w. Let l(g) = 0. Calculate g.
-2
Let m(f) = f**4 - f**3 + f**2 + f + 1. Let n(i) = 2*i**4 - 8*i**3 - 5*i**2 - i + 3. Let u(c) = 6*m(c) - 2*n(c). Solve u(o) = 0 for o.
-2, -1, 0
Let o(i) be the third derivative of -i**7/630 - 3*i**2. Solve o(l) = 0.
0
Let u = 13 - 11. Let b(z) be the third derivative of 0 + 1/30*z**5 - u*z**2 + 0*z + 0*z**3 - 1/60*z**6 + 0*z**4. Determine o so that b(o) = 0.
0, 1
Let y(c) be the first derivative of 5*c**6/6 - 15*c**4/2 - 40*c**3/3 - 15*c**2/2 + 21. Let y(t) = 0. What is t?
-1, 0, 3
Let m(n) = -n**4 - n**3 + n**2 - 1. Let c(s) = 16*s**4 - 28*s**3 + 12*s**2 + 4. Let a(k) = -c(k) - 4*m(k). Determine b so that a(b) = 0.
0, 2/3, 2
Let z(o) be the first derivative of o**5/300 + o**4/60 + o**3/30 + o**2 - 3. Let m(x) be the second derivative of z(x). Let m(d) = 0. What is d?
-1
Let u(k) = -k**2. Let p(r) = 5*r**2 - 12*r + 36. Let l(b) = -p(b) - 4*u(b). Factor l(n).
-(n - 6)**2
Find i, given that 6*i**2 + 24*i**3 + 27*i**3 - 49*i**3 - 8 = 0.
-2, 1
Suppose -3/4*y**2 - 3 + 3*y = 0. Calculate y.
2
Suppose -4*o + 24 = 12. Factor -3/2*m - 1/2*m**o - 3/2*m**2 - 1/2.
-(m + 1)**3/2
Suppose -14*u + 22 + 6 = 0. Let y(t) be the third derivative of 1/360*t**6 + 0 + 0*t - 1/72*t**4 + 0*t**5 + 0*t**3 - 3*t**u. Let y(a) = 0. Calculate a.
-1, 0, 1
Let a(n) be the first derivative of -1/4*n**4 - 2 + 2*n + 0*n**2 - n**3. Let u(b) = 2*b**3 + 4*b**2 - 3. Let s(h) = 3*a(h) + 2*u(h). Factor s(p).
p**2*(p - 1)
Let p(m) be the first derivative of -m**6/360 + m**5/120 - m**3 - 2. Let z(y) be the third derivative of p(y). Suppose z(b) = 0. What is b?
0, 1
Let c(z) be the first derivative of z**4/36 - z**3/18 + 9*z + 5. Let y(u) be the first derivative of c(u). Factor y(q).
q*(q - 1)/3
Factor -2/5*c**2 - 6/5*c - 4/5.
-2*(c + 1)*(c + 2)/5
Let t be (((-6)/9)/(-2) - -1) + -1. Factor 0 - 1/3*r**3 + t*r + 0*r**2.
-r*(r - 1)*(r + 1)/3
Suppose -4*f = -0*f + 20. Let l = 9 + f. Factor 10*q - 7 + 20*q**3 + 2 - 10*q**l + 2*q**5 - 20*q**2 + 3.
2*(q - 1)**5
Let w(b) be the first derivative of 2*b**3/21 + 3*b**2/7 + 4*b/7 + 13. Let w(x) = 0. Calculate x.
-2, -1
Let p = 94 - 90. Let w(r) be the first derivative of -2/3*r**2 + 0*r - 1/6*r**p + 1 + 2/3*r**3. Suppose w(a) = 0. What is a?
0, 1, 2
Let r(v) be the first derivative of v**8/840 + v**7/105 + v**6/30 + v**5/15 + v**4/12 + 5*v**3/3 - 8. Let n(k) be the third derivative of r(k). Factor n(o).
2*(o + 1)**4
Let n(u) = 5*u**3 + 2*u**2 - 6*u + 3. Let a be n(1). Factor 75/7*o**3 + 12*o - 24/7 + 3/7*o**5 - 24/7*o**a - 114/7*o**2.
3*(o - 2)**3*(o - 1)**2/7
Factor -219*k - 3*k**2 + k**2 + k**2 - 144 + 243*k.
-(k - 12)**2
Let n(m) be the second derivative of -1/60*m**6 + 0 - 1/20*m**5 + 0*m**4 + m + 0*m**3 + 1/28*m**7 + 0*m**2. Determine g so that n(g) = 0.
-2/3, 0, 1
Let c(a) be the third derivative of -a**6/100 + a**5/30 + a**4/30 + 5*a**2. Suppose c(d) = 0. What is d?
-1/3, 0, 2
Let m(p) be the third derivative of -p**6/240 - p**5/60 + 2*p**2. Factor m(y).
-y**2*(y + 2)/2
Let y = 165/17 + -4609/51. Let t = -80 - y. Suppose -1/3*o**5 + 0*o**4 + 0 + 0*o + o**3 - t*o**2 = 0. Calculate o.
-2, 0, 1
Let k = 23 - 20. Find t, given that 237 + 7*t**3 - 269 - 3*t**k + 8*t**2 - 16*t = 0.
-2, 2
Let p be ((-3252)/18)/(42/405). Let k = p + 1745. Factor 8/7*b**4 - 2/7*b**5 - 2/7*b**3 + 8/7*b - k*b**2 + 16/7.
-2*(b - 2)**3*(b + 1)**2/7
Let k(w) be the second derivative of w**5/25 + w**4/15 - 29*w. Factor k(m).
4*m**2*(m + 1)/5
Let g(u) = u**4 - u**3 - u**2. Let z(s) = -5*s**4 - 7*s**3 - 9*s**2 + 8*s + 16. Let i(r) = 6*g(r) + 2*z(r). Factor i(w).
-4*(w - 1)*(w + 2)**3
Let g(k) = 9*k**2 + k + 1. Let n(q) = -8*q**2 - q - 2. Let b(i) = 2*g(i) + 3*n(i). Let h(p) = -5*p**2 - 4. Let z(x) = -4*b(x) + 5*h(x). Factor z(o).
-(o - 2)**2
Suppose -3 - 3 = -3*v. Let i(k) be the second derivative of 0*k**v - k + 0 - 1/36*k**4 + 0*k**3. Let i(d) = 0. What is d?
0
Let u = 31/5 - 88/15. Suppose 4/3*v**2 + u + 5/3*v = 0. What is v?
-1, -1/4
Let x(v) = -16*v**3 - 22*v**2 - 8*v + 14. Let g(f) = f**3 + f**2 - 1. Let t(m) = 28*g(m) + 2*x(m). Factor t(q).
-4*q*(q + 2)**2
Factor 0 + 15/7*k**2 + 12/7*k + 3/7*k**3.
3*k*(k + 1)*(k + 4)/7
Let z(y) be the third derivative of y**5/12 + 25*y**4/12 + 125*y**3/6 - 10*y**2. Factor z(w).
5*(w + 5)**2
Let a(o) = o - 1. Let w be a(2). Let h(u) = 3*u**3 + u**2 + u - 1. Let z be h(w). Factor 2*c**4 + 0*c**z - c**4 + 5*c**2 - 2*c - 4*c**3.
c*(c - 2)*(c - 1)**2
Let y(o) be the second derivative of 1/30*o**6 + 3*o - 1/2*o**2 - 1/10*o**5 + 0 + 0*o**4 + 1/3*o**3. Solve y(n) = 0.
-1, 1
Factor -9*h + 4*h**4 - 3*h**2 + 9*h - h**4 - 3*h**5 + 3*h**3.
-3*h**2*(h - 1)**2*(h + 1)
Let t(o) be the first derivative of o**6/24 - o**5/20 - o**4/16 + o**3/12 - 2. Factor t(w).
w**2*(w - 1)**2*(w + 1)/4
Let f = 8/11 + -5/22. Find n such that -f*n**2 + 1/2 + 0*n = 0.
-1, 1
Let j(v) be the third derivative of -v**6/30 + v**5/3 - v**4/2 - 6*v**3 + 18*v**2. Factor j(t).
-4*(t - 3)**2*(t + 1)
Suppose -l - 4*f - 18 = -f, 8 = -4*l + 4*f. Let o be l/(-3) + 1 - 1. Determine d so that 2*d**4 + d**2 + d**2 - o*d**3 + 7*d**3 - d**3 = 0.
-1, 0
Let k(g) be the first derivative of -g**4/14 + g**2/7 + 10. Factor k(c).
-2*c*(c - 1)*(c + 1)/7
Let x(s) be the second derivative of 1/10*s**5 + 3*s + 0 - 1/3*s**3 + 0*s**2 + 0*s**4. What is g in x(g) = 0?
-1, 0, 1
Suppose -17 = -4*c - 1. Let -p**2 + 2 + 4*p**4 - 5*p + 8*p**3 - c*p - 2*p**2 + 4*p = 0. What is p?
-2, -1, 1/2
Let a(m) = m**3 - m**2 - 1. Let j(s) = -s**4 + 6*s**3 - 6*s**2 + s - 7. Let p(n) = 35*a(n) - 5*j(n). Determine z, given that p(z) = 0.
-1, 0, 1
Let y(h) be the third derivative of -h**7/105 + h**6/60 + 2*h**5/15 - h**4/3 - 14*h**2. Let y(q) = 0. What is q?
-2, 0, 1, 2
Let k(t) be the first derivative of 0*t**3 + 0*t**4 + 1/360*t**6 + 0*t - t**2 + 0*t**5 + 3. Let y(x) be the second derivative of k(x). Factor y(c).
c**3/3
Let k = -100 - -103. Find d such that 0 - 3/4*d**4 + 3/4*d**2 + 0*d**k + 0*d = 0.
-1, 0, 1
Suppose -3*l + 3*y + 6 = -0*y, -y = 4*l - 18. Suppose l*r = 4*z - 1 + 13, 3*z = r + 1. Find b, given that 1/5*b + 1/5*b**z + 0 = 0.
-1, 0
Let m(t) be the third derivative of -1/6*t**3 + 0 - 1/18*t**4 + t**2 + 0*t - 1/180*t**5. Factor m(w).
-(w + 1)*(w + 3)/3
Let y(f) be the first derivative of -2*f**3/27 + f**2/9 - 13. Let y(u) = 0. What is u?
0, 1
Find k such that -8 - 10 + 18 + 4*k**2 + 4*k = 0.
-1, 0
Let q be (-3 + 6)*10/6. Factor -6*h**3 + 3 + 3*h + 6*h + 2*h**2 - 3*h**q + 4*h**2 - 9*h**4.
-3*(h - 1)*(h + 1)**4
Factor 4*u**2 + 3*u**3 + 10*u + 8*u**2 + 12*u - 10*u.
3*u*(u + 2)**2
Suppose -579 + 147 = 4*p. Let q be (9/p)/((-2)/6). Factor -q*m**3 + 0*m + 1/4*m**2 + 0.
-m**2*(m - 1)/4
Let g(v) = -4*v**2 + 3. Let s(j) = -5*j**2 + 4. Suppose f = -2*r - 5, 3*f - 4*r - 25 + 0 = 0. Let o(y) = f*s(y) - 4*g(y). Let o(c) = 0. What is c?
0
Let c(a) be the third derivative of -a**8/720 - 2*a**7/315 - 11*a**6/1080 - a**5/180 + 5*a**3/6 + a**2. Let n(x) be the first derivative of c(x). Factor n(s).
-s*(s + 1)**2*(7*s + 2)/3
Determine t so that t**2 + 3/5 + 1/5*t**3 + 7/5*t = 0.
-3, -1
Factor 20 + 4*k**2 - 35*k + 0*k**3 + 5*k**3 + 6*k**2.
5*(k - 1)**2*(k + 4)
Let p(f) be the second derivative of -f**5/80 + 11*f**4/48 + f**3/2 - 48*f. What is j in p(j) = 0?
-1, 0, 12
Let s = 9 + -6. Let 2*y**2 - 5*y - y**2 + s*y + 1 + 0*y**2 = 0. Calculate y.
1
Let d(q) be the third derivative of q**7/1260 - q**6/360 + q**4/6 - 3*q**2. Let v(w) be the second derivative of d(w). Suppose v(x) = 0. What is x?
0, 1
Let z(w) = 13*w + 6. Let o be z(-4). Let f = o - -187/4. Let -3/2*s**3 + f*s**5 + 3/4*s + 3/4*s**4 + 3/4 - 3/2*s**2 = 0. Calculate s.
-1, 1
Suppose -3*b - 16 = 5*q, -6*q = 4*b - 3*q + 3. Suppose 0 = -2*m + 5*y - 20, -2*m - 12 = 3*m - b*y. Factor 1/2*u**5 + 0*u**4 - 3/2*u**3 + m - u**2 + 0*u.
u**2*(u - 2)*(u + 1)**2/2
Let l(v) be the first derivative of -v**3/6 - v**2/4 + 5. Let l(g) = 0. What is g?
-1, 0
Let n(q) be the second derivative of -q**4/78 - 4*q**3/39 - 4*q**2/1