*r**5 + 0*r. Factor k(n).
n**2*(n - 1)*(n + 1)
Let l(m) = -m**2 - 4*m + 5. Let p be l(-4). Let n(y) = -y**2 + 7*y - 5. Let o be n(p). Determine u, given that -u**5 + u**5 + u**o - u**3 = 0.
-1, 0, 1
Let k(r) be the second derivative of r**9/15120 + r**8/2240 + r**7/840 + r**6/720 + r**4/4 + 2*r. Let x(b) be the third derivative of k(b). Factor x(p).
p*(p + 1)**3
Suppose v + 6 = x + 5*v, 0 = -3*x + 3*v + 3. Suppose 4*z**x - 4*z**2 - 8*z**4 - 14*z**3 + 2*z - 4*z**2 = 0. What is z?
-1, 0, 1/4
Let y(d) be the third derivative of d**6/60 - d**4/12 + 5*d**2. Factor y(q).
2*q*(q - 1)*(q + 1)
Let d(h) = -h**2 + 10*h + 16. Let u be d(11). Let z be (-27)/(-45) - 3/u. Factor 0*s - 2/5*s**3 + 2/5*s**4 + 0*s**2 + z.
2*s**3*(s - 1)/5
Let i(h) = -h - 2. Let f be i(-6). Let k be 2 + (-2 + 2)/1. Let 13*c**2 - 22*c + 16*c**k + f - 11*c**2 = 0. Calculate c.
2/9, 1
Let d(w) be the third derivative of 0*w**3 + 0*w + 1/30*w**5 - 2*w**2 + 0 - 1/12*w**4. Factor d(v).
2*v*(v - 1)
Let s(w) be the third derivative of -w**8/6720 + w**7/1260 - w**4/24 + 6*w**2. Let c(r) be the second derivative of s(r). Factor c(l).
-l**2*(l - 2)
Let s(x) = -4*x + 5. Let p be s(0). Let c(l) be the first derivative of 0*l + 1/3*l**6 - 2 + 0*l**3 - 4/5*l**p + 1/2*l**4 + 0*l**2. Factor c(o).
2*o**3*(o - 1)**2
Suppose -640*g - 90*g**2 - 86*g**3 - 107*g**2 + 200 + 393*g**2 + 326*g**2 + 4*g**4 = 0. Calculate g.
1/2, 1, 10
Suppose 5*k - k = 36. Let s = k + -6. Let 2*l**2 - 3*l**s - 4*l**3 + 8*l - l**3 - 2 = 0. Calculate l.
-1, 1/4, 1
Suppose -19 = -2*r - 0*b + 5*b, 13 = 2*r + b. Solve -2*n**3 - 3*n**5 - 2*n**3 - 3*n**4 + 0*n**2 + r*n**3 + 3*n**2 = 0 for n.
-1, 0, 1
Let h(i) be the second derivative of i**5/120 - i**4/48 - i**3/6 + 3*i**2/2 - 11*i. Let x(n) be the first derivative of h(n). Factor x(v).
(v - 2)*(v + 1)/2
Factor 6*f**2 + 7*f**4 - 12*f**3 - 3*f**4 - 10*f**2 + 12*f**4.
4*f**2*(f - 1)*(4*f + 1)
Let r(k) be the first derivative of -k**4/3 - 2*k**3/3 - 6*k - 4. Let w(m) be the first derivative of r(m). Let w(s) = 0. Calculate s.
-1, 0
Let t(g) be the first derivative of g**8/840 + g**7/210 - g**5/30 - g**4/12 + g**3/3 + 1. Let l(r) be the third derivative of t(r). Solve l(u) = 0 for u.
-1, 1
Let q = 144502/57 - 2535. Let m = q + 4/19. Factor 0 + 1/3*w - 1/3*w**3 - 1/3*w**4 + m*w**2.
-w*(w - 1)*(w + 1)**2/3
Let u(h) be the second derivative of h**6/6 + h**5/4 - 13*h. Suppose u(s) = 0. What is s?
-1, 0
Let l(q) be the second derivative of -q + 3/2*q**2 + 9/4*q**4 + 0 + 3/5*q**5 + 3*q**3. Find x such that l(x) = 0.
-1, -1/4
Let j(l) be the first derivative of -1/3*l**3 - 4 - l + l**2. Factor j(g).
-(g - 1)**2
Let x(y) = -6*y**3 - 6*y**2 + 6*y + 9. Let n(q) = -q**4 + 17*q**3 + 19*q**2 - 17*q - 26. Let h(k) = -3*n(k) - 8*x(k). Factor h(u).
3*(u - 2)*(u - 1)*(u + 1)**2
Let l(w) = 2 - 7*w - 7*w**2 - 4 + w**3 - 5. Let d be l(8). Let g(o) = -o**2 - o. Let a(p) = 6*p - 2. Let b(h) = d*a(h) + 2*g(h). Factor b(t).
-2*(t - 1)**2
Let w(x) be the first derivative of -2*x**3/21 - 6*x**2/7 + 15. Let w(k) = 0. What is k?
-6, 0
Let o = -74 + 224/3. Factor 0 + 0*c + 2/3*c**2 - o*c**3.
-2*c**2*(c - 1)/3
Let j(s) be the second derivative of 3*s**4/8 + 11*s**3/12 + s**2/2 + 3*s. Find v, given that j(v) = 0.
-1, -2/9
Let s = 89 - 44. Find i such that 24*i**3 + s*i + 16*i**4 - i**5 - 41*i + 5*i**5 + 16*i**2 = 0.
-1, 0
Let y(f) be the second derivative of -f**7/14 - 2*f**6/45 + 2*f**5/15 + 7*f**4/12 - 9*f. Let c(j) be the third derivative of y(j). Solve c(b) = 0.
-2/5, 2/9
Let q(x) = 5*x**3 - 2*x**2 - 4*x**3 + x**2. Let a(v) = 4 - 8*v**3 + 1 - 6*v - 1 + 10*v**2. Let f(c) = a(c) + 10*q(c). Find g, given that f(g) = 0.
-2, 1
Let f be (-66)/(-4) + (-4)/8. Suppose -f = -4*d + 4*m, 3*m = -5*d + 6*m + 16. Factor -1/3*t + 0 - 2/3*t**d - 1/3*t**3.
-t*(t + 1)**2/3
Suppose 5*s + 0*s = 15. Suppose 0 = -2*y + 2, -4*r - s*y + 9 = -r. Suppose 4*a**3 - 4*a - 2*a**2 + 2*a**r - 2*a**4 + 1 + 1 = 0. What is a?
-1, 1
Let a(k) be the second derivative of -k**4/48 - k**3/3 - 2*k**2 - 2*k. Determine v, given that a(v) = 0.
-4
Suppose -5*k = -3*u - 11, -14 = -4*u - 2*k + 6. Find h, given that 0*h - 1/3*h**5 + 0*h**u + 0*h**2 + 1/3*h**4 + 0 = 0.
0, 1
Let b(c) be the third derivative of c**7/105 + c**6/60 - c**5/15 + 40*c**2. Factor b(f).
2*f**2*(f - 1)*(f + 2)
Let t be (-3)/(((-3)/(-1))/(-3)). Let s(b) be the first derivative of -b**4 - 2*b**3 - b**3 - 3 + 2*b - t*b**2 - 3*b. Suppose s(h) = 0. Calculate h.
-1, -1/4
Let d = 0 - -3. Factor -u**3 + d*u**2 - 2*u**2 + u**2 - u**3.
-2*u**2*(u - 1)
Let o = 50 + -50. Let v(l) be the third derivative of 1/16*l**4 + 1/240*l**6 - 1/12*l**3 - 1/40*l**5 + l**2 + 0*l + o. Solve v(w) = 0.
1
Suppose -1 = 2*i - 7. Suppose -s - 5*m + i = 0, 0*m = 3*s - 2*m - 9. Suppose 2*k**s + 2*k**3 - 6*k**3 = 0. Calculate k.
0
Let x be ((-1)/12*-1)/(1/3). Factor -1/4*s**2 + 1/4*s + 1/4*s**4 - x*s**3 + 0.
s*(s - 1)**2*(s + 1)/4
Let t(b) be the first derivative of 2*b**6/21 - 2*b**4/7 + 2*b**2/7 - 1. Determine v so that t(v) = 0.
-1, 0, 1
Let y = -23 + 28. Let b(g) be the first derivative of -1/6*g**6 + 3/2*g**2 - 2 + 3/5*g**y - 1/2*g**4 - 2/3*g**3 - g. Factor b(i).
-(i - 1)**4*(i + 1)
Factor 0 + 12/5*x + 2*x**2 + 2/5*x**3.
2*x*(x + 2)*(x + 3)/5
Find u, given that 2/7*u**2 + 0 + 2/7*u - 2/7*u**3 - 2/7*u**4 = 0.
-1, 0, 1
Let m(j) = 9*j**5 + 6*j**4 - 3*j**3 - 6*j**2. Let l = 10 + -4. Let v(r) = 17*r**5 + 12*r**4 - 5*r**3 - 11*r**2. Let w(t) = l*v(t) - 11*m(t). Factor w(a).
3*a**3*(a + 1)**2
Let r = -61 - -69. Let q(g) be the third derivative of 3*g**2 + 0*g**5 + 11/735*g**7 + 0 + 0*g + 0*g**4 + 1/98*g**r + 0*g**3 + 1/210*g**6. Factor q(c).
2*c**3*(3*c + 2)*(4*c + 1)/7
Suppose -2*l = k - 8, 4*k = 4*l - k + 12. Let h(s) = -2*s - 1. Let i be h(-1). Factor -i - v**l + 4*v**2 + 2*v + 0*v**2.
(v + 1)*(3*v - 1)
Suppose -a + 5*a = -36. Let l(o) = -5*o**4 - 21*o**3 + 21*o**2 - 13*o - 9. Let u(p) = p**4 + 5*p**3 - 5*p**2 + 3*p + 2. Let c(r) = a*u(r) - 2*l(r). Factor c(s).
s*(s - 1)**3
Solve -2/13*m**2 + 0 + 10/13*m = 0.
0, 5
Let t be 7/(28/24) + -3. Let u be (-26)/(-42) + (-1)/t. Factor 2/7*b**2 - 4/7 - u*b.
2*(b - 2)*(b + 1)/7
Let -169 + 30*k + 62 + 18*k**2 + 57 + 2*k**3 = 0. What is k?
-5, 1
Let f = -576 + 578. Let -4/11*v**f - 2/11*v**3 + 4/11 + 2/11*v = 0. Calculate v.
-2, -1, 1
Let x(t) = -t**4 + 3*t**3 + 7*t**2 - 3*t - 6. Let m = -3 - -5. Let k(h) = -h**4 + h**2. Let q(u) = m*k(u) + x(u). Factor q(p).
-3*(p - 2)*(p - 1)*(p + 1)**2
Let h(l) = -2*l**3 + l**2 - 1. Let j be h(-1). Let k(m) be the first derivative of -1/8*m**4 + 0*m - 2 - 1/6*m**3 + 1/10*m**5 + 1/4*m**j. Factor k(f).
f*(f - 1)**2*(f + 1)/2
Determine s, given that s - 1/4*s**3 + 0 - s**2 + 1/4*s**4 = 0.
-2, 0, 1, 2
Let t be 464/435 - 2/(-9)*-3. Let -1/5 - 1/5*j**2 + t*j = 0. Calculate j.
1
Let n(i) be the third derivative of i**2 + 0 + 1/720*i**6 + 0*i + 1/120*i**5 + 0*i**4 + 1/2*i**3. Let k(p) be the first derivative of n(p). Factor k(g).
g*(g + 2)/2
Let 0 + 0*y + 0*y**2 + 3/4*y**3 = 0. What is y?
0
Solve 0*q + 0 + 2/19*q**2 = 0 for q.
0
Let c(u) be the third derivative of -u**6/180 + u**5/60 + u**4/6 + u**3/2 + 2*u**2. Let y(b) be the first derivative of c(b). Suppose y(a) = 0. What is a?
-1, 2
Let d be ((-12)/15)/(4/(-20)). Let v = -2 + d. Solve 0*u**v - 2 + u**2 + 1 = 0 for u.
-1, 1
Suppose 6 = -5*d + 16. Suppose 2/9*g**d + 2/9*g**4 + 0 + 4/9*g**3 + 0*g = 0. What is g?
-1, 0
Determine p so that 0 - 2/17*p**3 - 4/17*p + 6/17*p**2 = 0.
0, 1, 2
Let n(p) = p**2. Let v = 1 - -3. Let h(o) = 5*o**2 + 3*o**2 - o**4 - v*o + 2*o. Let j(q) = h(q) - 5*n(q). Find u such that j(u) = 0.
-2, 0, 1
Let j(y) be the first derivative of -y**6/51 + 6*y**5/85 + y**4/34 - 2*y**3/17 - 14. Let j(o) = 0. What is o?
-1, 0, 1, 3
Let l be 47/9 - 12/54. Factor 0*t**3 + t**5 + 3*t**l + 8*t**4 + t**2 + 5*t**3.
t**2*(t + 1)*(2*t + 1)**2
Let f(r) be the first derivative of -49*r**6/15 + 154*r**5/25 + 17*r**4/10 - 146*r**3/15 + 32*r**2/5 - 8*r/5 - 10. Solve f(z) = 0.
-1, 2/7, 1
Let w(i) be the first derivative of -i**5/30 - i**4/3 - 4*i**3/3 + 3*i**2/2 + 2. Let a(k) be the second derivative of w(k). Factor a(f).
-2*(f + 2)**2
Let j(r) be the first derivative of -r**6/33 + r**4/11 - r**2/11 - 2. Factor j(l).
-2*l*(l - 1)**2*(l + 1)**2/11
Factor 0 + 4/5*i**2 + 2/5*i + 2/5*i**3.
2*i*(i + 1)**2/