i**2 + 0*i**4 + 3/5*i**5.
3*i*(i - 1)**3*(i + 3)/5
Let r be 80/48 - (-4)/(-6). Let d be 4/(-18)*(r - 2). Find z such that -d*z**3 + 0 + 2/9*z + 0*z**2 = 0.
-1, 0, 1
Let o(u) = 5*u**4 + 6*u**3 + 11*u**2 + 11. Let z(t) = t**4 + t**3 + 2*t**2 + 2. Let v(j) = 4*o(j) - 22*z(j). Factor v(p).
-2*p**3*(p - 1)
Let g(k) be the first derivative of 2*k**3/3 + 3*k**2/2 - 5*k - 3. Let t(w) = 3*w**2 + 6*w - 9. Let c(a) = 5*g(a) - 3*t(a). Determine x, given that c(x) = 0.
1, 2
Suppose 2*p + p - 9 = 0. Let n(k) be the first derivative of 1 + 4/3*k**2 - 2/9*k**p - 8/3*k. Let n(y) = 0. Calculate y.
2
Let t(v) be the first derivative of -3*v**4/8 + 3*v**3/2 - 9*v**2/4 + 3*v/2 - 3. Find y such that t(y) = 0.
1
Let r(h) = -2*h**4 - 65*h**3 - 63*h**2. Let i(g) = -g**4 - 22*g**3 - 21*g**2. Let m(x) = 7*i(x) - 2*r(x). Factor m(l).
-3*l**2*(l + 1)*(l + 7)
Let a(c) = 3*c**3 - 21*c**2 - 3*c + 11. Let j(f) = -5*f**3 + 31*f**2 + 5*f - 17. Let d(b) = 7*a(b) + 5*j(b). Factor d(m).
-4*(m - 2)*(m - 1)*(m + 1)
Let v(s) = -5*s**2 + s. Let a(q) be the third derivative of q**5/15 - 2*q**2. Let r(o) = -3*a(o) - 2*v(o). Factor r(g).
-2*g*(g + 1)
Let l(g) be the third derivative of g**5/210 - 5*g**4/84 - 2*g**3/7 - 35*g**2. Solve l(x) = 0.
-1, 6
Let u(b) be the second derivative of -1/90*b**6 + 1/36*b**4 + 3*b + 0*b**2 + 0 + 0*b**5 + 0*b**3. Factor u(r).
-r**2*(r - 1)*(r + 1)/3
Let d(s) = s**2 + 7*s - 5. Let z be d(-7). Let b be 1 + 1 - 10/z. Suppose -10*l**3 + 10*l - 8*l**b + 6*l**2 - 3 + 1 + 4 = 0. Calculate l.
-1, -1/4, 1
Let s(c) be the second derivative of c**5/40 + 7*c**4/24 + 30*c. Factor s(m).
m**2*(m + 7)/2
Let q(l) be the third derivative of l**8/2240 + l**7/1260 + l**4/8 + l**2. Let g(u) be the second derivative of q(u). Solve g(t) = 0 for t.
-2/3, 0
Let n = -3 - -6. Let y(m) be the first derivative of -2 - 1/7*m**2 + 0*m - 2/21*m**n. Factor y(r).
-2*r*(r + 1)/7
Let z(v) be the first derivative of -1/15*v**3 + 0*v**2 - 3 + 3*v - 1/30*v**4. Let l(g) be the first derivative of z(g). Find d, given that l(d) = 0.
-1, 0
Let s(y) be the third derivative of y**7/42 + y**6/12 - 5*y**4/12 - 5*y**3/6 - 11*y**2. Solve s(l) = 0.
-1, 1
Find d such that 0 - 9/7*d - 3/7*d**2 = 0.
-3, 0
Let m(c) = c**3 + 36*c**2 - 2*c - 72. Let d be m(-36). Factor d + 1/5*k**4 + 0*k - 1/5*k**5 + 0*k**2 + 0*k**3.
-k**4*(k - 1)/5
Let j(h) be the first derivative of 20*h**3/3 + 5*h**2/2 - 20. Factor j(o).
5*o*(4*o + 1)
Suppose -2 = -2*z + 4. Let f(j) be the third derivative of -1/60*j**5 + 0 - 1/3*j**z + 0*j + 2*j**2 + 1/8*j**4. Factor f(v).
-(v - 2)*(v - 1)
Let v(r) = r**2 + 9*r + 14. Let a be v(-2). Factor 1/3*z + 1/3*z**3 + a + 2/3*z**2.
z*(z + 1)**2/3
Let y(g) = g**2 + 6*g + 2. Let k be y(-6). Factor f**3 - 11*f**k + 7*f**2 - 6 + 5*f + 4.
(f - 2)*(f - 1)**2
Let p(l) = -2*l - 6. Let f be p(-4). Suppose -f*h = 4*q - 16, -3*q = -5*h - 0*q + 53. Suppose -h*y**2 - 7*y**2 + 19*y**2 = 0. What is y?
0
Let k(f) = f**5 + f**3 - 1. Suppose 38 = 5*d - 7. Let m = -5 + d. Let x(v) = -v**5 - 5*v**4 - 6*v**3 + 6*v**2 - v + 3. Let s(g) = m*k(g) + x(g). Factor s(y).
(y - 1)**3*(y + 1)*(3*y + 1)
Factor -3/2*k**4 - 3*k + 0 - 6*k**3 - 15/2*k**2.
-3*k*(k + 1)**2*(k + 2)/2
Let h(x) be the second derivative of -x**4/3 + 32*x**3/3 - 128*x**2 + 6*x. Let h(o) = 0. What is o?
8
Let q = -18 - -11. Let g = -4 - q. Factor -2*b**g - b**3 + b**3 + b + b**2 - 1 + b**3.
-(b - 1)**2*(b + 1)
Let z(k) = -k**2 + k. Let r(t) = -4*t**2 + 3*t. Let i(u) = -5*r(u) + 15*z(u). Determine b so that i(b) = 0.
0
Let q(y) be the first derivative of y**6/40 + y**2/2 + 1. Let r(p) be the second derivative of q(p). Factor r(c).
3*c**3
Let g = 130 + -185. Let t be g/33*(-2)/10. Let 0*z**2 + 1/3*z**3 - t*z + 0 = 0. Calculate z.
-1, 0, 1
Solve -4*j**2 + 0 + 4/3*j**4 + 0*j**3 + 8/3*j = 0.
-2, 0, 1
Suppose -3*z - 6*n = -10*n - 25, 0 = 5*z + 2*n - 7. Find q, given that 0 + 2/11*q - 4/11*q**2 + 2/11*q**z = 0.
0, 1
Factor -5/4*m**2 - 5/4*m**3 + 5/4 + 5/4*m.
-5*(m - 1)*(m + 1)**2/4
Factor 12*f**2 + 4*f**3 + 0*f + 0*f - 657 + 641.
4*(f - 1)*(f + 2)**2
Let q(p) = p + 1. Let g(d) = 4*d**2 - 7*d - 3. Let x(r) = g(r) - 3*q(r). Factor x(l).
2*(l - 3)*(2*l + 1)
Let c = 3/2 + -5/4. Let m(h) be the first derivative of -2 + c*h - 27/16*h**4 - 9/8*h**2 + 9/4*h**3. Factor m(r).
-(3*r - 1)**3/4
Let i(t) = 8*t**4 + 12*t**3 + 8*t**2 - 6*t - 4. Let o(l) = -l**4 - l**3 - l**2. Let f(v) = i(v) + 6*o(v). Suppose f(z) = 0. What is z?
-2, -1, 1
Suppose -3*z + 32 = 4*j, 5*j - 27 = z - 6. Suppose -1/2*l**j - 1/2*l + 0*l**4 + 0*l**2 + l**3 + 0 = 0. What is l?
-1, 0, 1
Let t be -3 + (1 - 33/(-12)). Let q(m) be the first derivative of 1/3*m**3 + t*m**4 - 1 + 0*m - m**2. Factor q(c).
c*(c + 1)*(3*c - 2)
Let t be (9/(-21))/(4 - (-66)/(-12)). Factor 4/7*r + t*r**2 + 0.
2*r*(r + 2)/7
Let o(g) be the first derivative of 1/14*g**6 - 2 + 4/35*g**5 + 0*g**2 + 1/28*g**4 + 0*g + 0*g**3. Factor o(w).
w**3*(w + 1)*(3*w + 1)/7
Suppose 2*x = 5*x - h - 4, -3*h = 2*x - 21. Factor -21/5*d + 3/5*d**4 + 27/5*d**2 - x*d**3 + 6/5.
3*(d - 2)*(d - 1)**3/5
Find d, given that 1/4*d**2 + 1/4*d + 0 = 0.
-1, 0
Let a(l) = -15*l**4 + 30*l**3 + 40*l**2 - 40*l - 35. Let t(p) = -15*p**4 + 29*p**3 + 39*p**2 - 41*p - 36. Let o(c) = -6*a(c) + 5*t(c). Solve o(y) = 0 for y.
-1, -2/3, 1, 3
Let j(h) = -24*h**3 - 24*h**2 + 4*h + 16. Let b(z) = -23*z**3 - 25*z**2 + 4*z + 15. Let o(l) = -4*b(l) + 3*j(l). Solve o(f) = 0.
-1, 3/5
Let 4*j**2 - 4*j**5 + 4*j**3 + 3*j**3 - 4*j**4 - 4*j**3 + j**3 = 0. What is j?
-1, 0, 1
Suppose 5*v + 55 = 2*q + 3*q, 10 = -5*v. Let i be ((-57)/q + 3)/(-1). Let i*k**2 - 4/3 + 2*k = 0. Calculate k.
-1, 2/5
Let z = 7 + -12. Let c(u) = u**3 + 4*u**2 - 4*u + 7. Let j be c(z). Factor -p**4 + 4*p**3 - 1 - 2*p**4 + 4*p**2 - j*p**5 - 2*p**3.
-(p - 1)*(p + 1)**3*(2*p - 1)
Find c, given that -4/5*c + 8/5*c**2 + 0 - 4/5*c**3 = 0.
0, 1
Let o(j) = -4*j**2 - 5. Let w(n) = -2*n**2 + 2*n + 2. Let g be w(2). Let t(v) = 2 + 8*v + 2*v**2 - 8*v. Let z(r) = g*o(r) - 5*t(r). Factor z(i).
-2*i**2
Let l(i) be the second derivative of i**3/2 - 5*i**2/2 + 4*i. Let n be l(4). Solve n*k + 3*k**2 - k - 3*k = 0 for k.
-1, 0
Let m(z) be the first derivative of 6 + 0*z**2 + 7/2*z**4 - 4/3*z**3 + 18/5*z**5 + 0*z. Factor m(a).
2*a**2*(a + 1)*(9*a - 2)
Let b be 4/6 + 16/(-36). Let x(r) = r**2 + 7*r + 8. Let y be x(-6). Factor b*p**y + 2/9 - 4/9*p.
2*(p - 1)**2/9
Let f be (5 - -15)*(-4)/(-70). Factor 0*h**2 + 0 + 2/7*h**3 + 0*h - f*h**4.
-2*h**3*(4*h - 1)/7
Let l be (8 - 16/4)/(5 + -3). Factor -2*b - 2 + 29/2*b**l - 21/2*b**3.
-(b - 1)*(3*b - 2)*(7*b + 2)/2
Let q be 28/252*(12 - 0). What is s in 0 - 2/3*s - 4/3*s**4 + 2/3*s**5 + 0*s**3 + q*s**2 = 0?
-1, 0, 1
Let k(l) be the third derivative of -l**8/11200 + l**7/1400 - l**5/50 + l**4/6 + 4*l**2. Let h(u) be the second derivative of k(u). Factor h(i).
-3*(i - 2)**2*(i + 1)/5
Suppose -4*w = -5*r + 3*r - 18, -5*r = 25. Factor -2/3*o**w + 1/3*o - 1/3*o**5 + 2/3*o**4 + 0*o**3 + 0.
-o*(o - 1)**3*(o + 1)/3
Suppose -3*m - 3*n + 45 = 0, 6*m + 2*n = m + 75. Factor 3*u**3 + 5*u**2 - m*u + 3*u**2 - 3*u**4 + 6 + u**2 + 0*u**2.
-3*(u - 1)**3*(u + 2)
Suppose -5*k - c = -78, 4*k - k - 3*c = 54. Suppose 14*r = k*r - 6. Suppose 1/5*a**2 - 2/5*a + 4/5*a**r - 3/5*a**4 + 0 = 0. What is a?
-2/3, 0, 1
Let k = 1849/7 - 264. Factor -k - 1/7*r**4 - 6/7*r**2 - 4/7*r - 4/7*r**3.
-(r + 1)**4/7
Let g be -2 - (-2 + 5 + -5 + -2). Find i such that -4/5*i**5 + 4/5*i**3 + 0*i**g + 6/5*i**4 + 0*i + 0 = 0.
-1/2, 0, 2
Let f(r) = r**3 + 4*r**2 - 6*r - 6. Let i be f(-5). Let j = i - -3. Factor 1/2*c**4 - 1/2*c - 1/2*c**j + 1/2*c**3 + 0.
c*(c - 1)*(c + 1)**2/2
Let h be (-3)/(-2) - 8/(-8). Let o(d) be the first derivative of -h*d**2 - 1 - 3/4*d**4 + d + 7/3*d**3. Factor o(l).
-(l - 1)**2*(3*l - 1)
Let n be 0 + (2 - 93/(-45)). Let p = -17/5 + n. What is d in -2/3*d**2 + 2/3*d**3 - p*d + 2/3 = 0?
-1, 1
Suppose 2*t = -a - 13, 0 = -t - a + 3*a - 9. Let m(v) = -13*v**2 - 24*v - 17. Let r(p) = -4*p**2 - 8*p - 6. Let n(c) = t*r(c) + 2*m(c). Factor n(g).
2*(g + 2)**2
Let i = 1 - -1. Suppose -6*p + 2*p = 4*q - 4, -3*p + 5 = 5*q. Factor 1/2*w**i + p - 1/2*w.
w*(w - 1)/2
Let q(m) be the first derivative of 5 + 3/16*m**4 - 1/12*m**3 + 0*m**2 + 0*m + 1/5*m**5. Factor q(c).
c**2*(c + 1)*(4*c - 1)/4
Suppose 5*c + 8*w - 10 = 3*w, -4*c + 36 = -3*