-65) - 54/(-13). Suppose -2*z**p - 6*z**3 - 2*z**5 + 6*z**3 = 0. What is z?
-1, 0
Let n(h) = -2*h**2 + 5*h + 1. Let z(y) = y**2 - 5*y - 2. Let c(f) = -2*n(f) - 3*z(f). What is t in c(t) = 0?
-4, -1
Let l(n) = n**2 - 20*n - 3 + 4*n**3 + 21*n - 3*n**2. Suppose -1 = -3*b - 4. Let p(z) = z**3 - z**2 + z - 1. Let f(a) = b*l(a) + 3*p(a). Factor f(r).
-r*(r - 1)*(r + 2)
Let m be (-165)/(-36) + 9/12. Let h be (1/3)/((-1)/(-7)). Factor -4/3 - m*s - h*s**2.
-(s + 2)*(7*s + 2)/3
Let a(q) = 48*q**3 - 30*q**2 - 21*q + 9. Let x(o) = o**3 + o**2. Let z(l) = a(l) - 3*x(l). Let z(j) = 0. Calculate j.
-3/5, 1/3, 1
Let q(j) be the third derivative of 1/45*j**5 - 1/315*j**7 + 0 + 0*j**3 + 1/180*j**6 - 3*j**2 + 0*j**4 + 0*j. Factor q(w).
-2*w**2*(w - 2)*(w + 1)/3
Let r(p) be the third derivative of -p**8/80640 + p**5/20 - p**2. Let f(j) be the third derivative of r(j). Let f(a) = 0. What is a?
0
Let i(q) = 39*q**2 + 6*q. Let o(y) = 8*y**2 + y. Let w = -2 + 7. Let t(r) = w*i(r) - 24*o(r). What is u in t(u) = 0?
-2, 0
Factor 681*x - 681*x + 6*x**2 + 9*x**3 + 3*x**4.
3*x**2*(x + 1)*(x + 2)
Let h(v) be the first derivative of v**5/90 + v**4/36 - 2*v**2 + 2. Let x(u) be the second derivative of h(u). Factor x(y).
2*y*(y + 1)/3
Let v(k) be the first derivative of 3*k**5/25 + 3*k**4/4 + 8*k**3/5 + 6*k**2/5 + 1. Factor v(u).
3*u*(u + 1)*(u + 2)**2/5
Let i = -12 - -14. Determine v, given that v + 0*v**2 - 3*v**i + 2*v**2 = 0.
0, 1
Let x = 45/2 - 12. Suppose 3*d - 10 = d + 2*o, 0 = -5*o - 15. Factor -1/2*h + 1 - x*h**d.
-(3*h + 1)*(7*h - 2)/2
Let t(f) = -2*f**2 + 2*f. Let w(y) = -4*y**2 + 4*y. Let h(o) = -10*t(o) + 6*w(o). Solve h(m) = 0 for m.
0, 1
Let i be (-4 + 0/5)/(-1). Suppose 4*y - 2 = 10. Factor 0 - 2/7*b**5 - 2/7*b + 0*b**i + 4/7*b**y + 0*b**2.
-2*b*(b - 1)**2*(b + 1)**2/7
Suppose 0 = -r + 6*r - 15. Let b(w) be the second derivative of 0 + 0*w**2 - w + 1/15*w**r + 1/30*w**4. Find z, given that b(z) = 0.
-1, 0
Let s(p) be the third derivative of p**8/1344 + p**7/140 - 7*p**6/480 + 4*p**2. Factor s(r).
r**3*(r - 1)*(r + 7)/4
Let d be 2*(4 + 44/(-12)). Let a(x) be the second derivative of 2*x + d*x**4 - x**2 + 0 - x**3. Suppose a(l) = 0. What is l?
-1/4, 1
Let v(h) be the third derivative of -h**6/420 + h**5/105 + 2*h**4/21 + 5*h**2 + 1. Factor v(c).
-2*c*(c - 4)*(c + 2)/7
Let m(b) be the first derivative of 15/4*b**2 - 7 - 2*b**3 - 3/2*b. Let m(i) = 0. Calculate i.
1/4, 1
Suppose 16 = c - o, 8*o - 3*o = c - 8. Factor -2 + 18*x + 2*x**2 - c*x.
2*(x - 1)*(x + 1)
Determine x, given that -16/5 - 1/5*x**2 - 8/5*x = 0.
-4
Let y(x) be the first derivative of -1/5*x**2 + 0*x - 1 + 1/15*x**3. Solve y(c) = 0.
0, 2
Let z(d) = -4*d**2 + 1 - 6*d**2 + d**3 - 7*d + 6*d**2. Let i(c) = -3*c**3 + 8*c**2 + 13*c - 3. Let y(p) = -3*i(p) - 5*z(p). Factor y(j).
4*(j - 1)**2*(j + 1)
Let l be (3/8)/(270/24). Let p(c) be the second derivative of 1/90*c**6 + c + 1/36*c**4 + 0*c**3 + 0 + 0*c**2 + l*c**5. Factor p(z).
z**2*(z + 1)**2/3
Let l(k) = -k**2 - 11*k + 2. Let g be l(-11). Let d(b) be the second derivative of 1/30*b**6 - 1/6*b**3 - 1/12*b**4 + 0 + 1/20*b**5 + 2*b + 0*b**g. Factor d(n).
n*(n - 1)*(n + 1)**2
Let g be (1/(-2))/((-4)/32). Let q = g - 15/4. Factor -q*c + 0 + 1/4*c**2.
c*(c - 1)/4
Let m(k) be the second derivative of k**5/90 + k**4/12 + 2*k**3/9 + k**2 - 2*k. Let p(a) be the first derivative of m(a). Determine g so that p(g) = 0.
-2, -1
Let j(k) be the third derivative of k**6/240 + k**5/30 + k**4/12 - 2*k**2. Solve j(p) = 0.
-2, 0
Let c(u) be the second derivative of 5*u**5/14 + 5*u**4/42 - u**3 - 9*u**2/7 - 9*u. Factor c(j).
2*(j - 1)*(5*j + 3)**2/7
Let s = -45 + 47. Let m(r) be the second derivative of 2/21*r**3 - 1/7*r**s + 0 - 1/35*r**5 + 1/105*r**6 + 0*r**4 + r. What is f in m(f) = 0?
-1, 1
Suppose 0 = -3*k + 2*k + 2. What is a in -3*a**4 - 6*a + 6*a**3 + k - 4 + 1 + 4 = 0?
-1, 1
Solve -3/4*p**2 + 0 + 3/4*p - 3/4*p**3 + 3/4*p**4 = 0.
-1, 0, 1
Let m(h) = -149*h - 2. Let w be m(-1). Suppose w*i**3 - 19*i - 45*i**2 + 31*i + 129*i**2 = 0. What is i?
-2/7, 0
Let w(m) = 2*m**4 + 70*m**3 - 14*m**2 - 14*m - 14. Let h(l) = l**4 + 23*l**3 - 5*l**2 - 5*l - 5. Let t(a) = -14*h(a) + 5*w(a). Factor t(c).
-4*c**3*(c - 7)
Let w(b) = -b**2 + 4*b + 7. Let l be w(6). Let z be (1 + 0)*(l + 7). Factor 1/3 - 2/3*g**z + 1/3*g**5 + 1/3*g**4 + 1/3*g - 2/3*g**3.
(g - 1)**2*(g + 1)**3/3
Let o(h) = -7*h + 357. Let z be o(51). Factor -2/5*c**2 + 8/5 + z*c.
-2*(c - 2)*(c + 2)/5
Let w(a) = a**2 + a. Let q(u) = u**2 + 3*u. Let j(z) = q(z) - 2*w(z). Let j(v) = 0. Calculate v.
0, 1
Let h(m) = 3*m**2 - 1. Let k = 3 - 4. Let p be h(k). Factor 0*j - j**2 - p*j - 1 + 4*j.
-(j - 1)**2
Let t(l) = l + 3. Let d be t(10). Factor 5 - 4*p + 8 - d - 12*p**2.
-4*p*(3*p + 1)
Let n = -58 - -61. Solve 3/2*l**n + 0 - 4*l**2 - 2*l + 9/2*l**4 = 0.
-2/3, 0, 1
Suppose 217*y + 18 = 223*y. Let b(z) be the first derivative of -1/10*z**5 + 0*z + 0*z**2 - 1/6*z**y + 1/4*z**4 - 2. Factor b(r).
-r**2*(r - 1)**2/2
Let u(n) = -n**2 + 21*n + 2. Let d be u(21). Factor 1/2 - 2*l**d + 3/2*l.
-(l - 1)*(4*l + 1)/2
Let j = 1/121 + 119/242. Factor -4*b + j*b**2 + 8.
(b - 4)**2/2
Let f(j) be the first derivative of j**6/27 - 2*j**5/45 - j**4/18 + 2*j**3/27 + 4. Factor f(a).
2*a**2*(a - 1)**2*(a + 1)/9
Suppose -4*s + 0*s = -8. Let v(k) = k + 3 - s*k + 6*k + 8*k**2. Let x(t) = -t**2 - 1. Let w(f) = -v(f) - 2*x(f). Solve w(u) = 0 for u.
-1/2, -1/3
Let 3*o + 0*o + 7*o**2 - 6*o = 0. What is o?
0, 3/7
Let u(n) be the second derivative of n**5 + 7*n**4/3 + 4*n**3/3 + 31*n. Determine y so that u(y) = 0.
-1, -2/5, 0
Let p = -56/3 - -61/3. Factor 1/3 + 10/3*j**2 + p*j**4 + 1/3*j**5 + 10/3*j**3 + 5/3*j.
(j + 1)**5/3
Let l = -16 - -15. Let x be (-1 + l)*(-2)/8. Let 0*a + 0*a**4 + 0*a**2 + x*a**5 - 1/2*a**3 + 0 = 0. Calculate a.
-1, 0, 1
Let s(r) = -r**2 - 8*r - 10. Let d be s(-5). Determine k so that 4*k**3 + k**4 - 2*k**3 - 4*k**5 + 2*k**5 + k**d = 0.
-1, 0, 2
Let b(j) be the first derivative of -2*j**3/21 - 2*j**2/7 + 5. Factor b(x).
-2*x*(x + 2)/7
Let o = -2/237 - -119/4740. Let q(t) be the third derivative of 2*t**2 + 0*t**3 + 0 + 0*t + 0*t**4 + o*t**5. Find v, given that q(v) = 0.
0
Let y(m) be the third derivative of -m**7/105 - m**6/60 + m**5/15 - 8*m**2. Factor y(u).
-2*u**2*(u - 1)*(u + 2)
Let c(j) be the second derivative of j**5/100 + j**4/60 + j. Factor c(k).
k**2*(k + 1)/5
Let f(s) be the first derivative of s**3/3 + 2*s**2 + 4*s + 2. Factor f(t).
(t + 2)**2
Let y(n) be the third derivative of -n**8/224 + 13*n**7/420 - 11*n**6/120 + 3*n**5/20 - 7*n**4/48 + n**3/12 + 6*n**2. Let y(j) = 0. Calculate j.
1/3, 1
Let x(n) be the third derivative of -n**7/280 - n**6/60 - n**3/3 + 4*n**2. Let g(l) be the first derivative of x(l). What is v in g(v) = 0?
-2, 0
Let z(x) = x + 7. Let b be z(-7). Suppose -3*i + i + 8 = b. Determine g, given that i*g**2 - g - 7*g**5 - 9*g**4 + 3*g + 5*g**2 + 5*g**3 = 0.
-1, -2/7, 0, 1
Suppose -2*n + 2*r + 4 = 0, n + r - 6*r - 2 = 0. Suppose -4/9*p**n + 0 + 0*p - 2/9*p**3 = 0. Calculate p.
-2, 0
Let o(z) = -25*z**3 - 30*z**2 - 5*z - 10. Let s(g) = -8*g**3 - 10*g**2 - 2*g - 3. Let y(h) = 3*o(h) - 10*s(h). Factor y(q).
5*q*(q + 1)**2
Let q be ((-192)/(-280))/((-2)/(-5)). Let r = 263/105 + 1/15. Let -q*a + r + 2/7*a**2 = 0. Calculate a.
3
Let u = -16 - -20. Let x(g) be the first derivative of 2 + 0*g**2 - 2/5*g**5 + 1/2*g**u + 0*g**3 + 0*g. Solve x(l) = 0 for l.
0, 1
Let y(a) be the first derivative of -a**3/3 + 5*a**2/2 + 8*a + 1. Let v be y(6). Factor h + 2*h**2 - 4*h**v + h.
-2*h*(h - 1)
Let y(b) = -3*b**2 + 5*b. Let w(x) = x**2 - 2*x. Suppose 0 = -4*l + z + 4*z - 12, l + 3*z = 14. Let r(a) = l*y(a) + 5*w(a). Solve r(j) = 0.
0
Let q(j) be the first derivative of 5*j**6/2 - 57*j**5/5 + 417*j**4/20 - 97*j**3/5 + 48*j**2/5 - 12*j/5 - 6. Let q(u) = 0. What is u?
2/5, 1
Let n = -6/5 - -329/270. Let y(s) be the second derivative of 1/27*s**3 + 0*s**2 - n*s**4 + 2*s + 0. Factor y(c).
-2*c*(c - 1)/9
Factor -2/11*g**2 + 0*g - 6/11*g**4 - 2/11*g**5 - 6/11*g**3 + 0.
-2*g**2*(g + 1)**3/11
Let w(p) be the third derivative of 0*p + 5/12*p**4 + 3*p**2 - 2/3*p**3 - 2/15*p**5 + 1/60*p**6 + 0. Find k such that w(k) = 0.
1, 2
Let a(b) be the second derivative of -b**7/168 + b**6/120 + b**5/80 - b**4/48 - 62*b. What is u in a(u) = 0?
-1,