k + 13, z - p = -2*k. Factor 2*a**2 - a**k + 0*a**2 - 2 + a.
(a - 1)*(a + 2)
Let d(p) = 4*p**5 + 3*p**4 + p**3 - 2*p - 3. Let w(h) = 11*h**5 + 8*h**4 + 2*h**3 - 5*h - 8. Let o(k) = 8*d(k) - 3*w(k). Factor o(y).
-y*(y - 1)**2*(y + 1)**2
Suppose 13*i - 8 = 9*i. Let z(l) be the first derivative of i - 1/10*l**4 + 0*l + 0*l**3 - 1/25*l**5 + 0*l**2. Determine u so that z(u) = 0.
-2, 0
Let y(s) = 6*s**5 + 2*s**4 + 2*s**3 - 3*s**2 + 2*s + 1. Let j(p) = p**5 + p**4 - p**2 + p. Let k(a) = -5*j(a) + y(a). Factor k(q).
(q - 1)**4*(q + 1)
Let h(t) be the second derivative of t**5/10 + t**4 + 4*t**3 + 8*t**2 + 2*t - 3. Factor h(i).
2*(i + 2)**3
Let p(j) be the third derivative of 7*j**6/60 - 11*j**5/30 + 8*j**4/21 - 4*j**3/21 + 3*j**2. Factor p(x).
2*(x - 1)*(7*x - 2)**2/7
Factor 50*i**3 - 48*i**3 + 0*i**4 - 2*i**4.
-2*i**3*(i - 1)
Let t(s) be the second derivative of 0*s**6 + 1/30*s**5 + 0*s**2 + 0 - 1/126*s**7 + 0*s**4 + 3*s - 1/18*s**3. Solve t(u) = 0 for u.
-1, 0, 1
Let b(k) be the first derivative of 3*k**5/5 + 21*k**4/4 + 15*k**3 + 39*k**2/2 + 12*k - 11. Factor b(o).
3*(o + 1)**3*(o + 4)
Let y be 6/(-21) + (-200)/35. Let d be 13/15 + y/9. Factor 2/5 + d*w - 1/5*w**2.
-(w - 2)*(w + 1)/5
Let n + 2/3 - 1/3*n**3 + 0*n**2 = 0. Calculate n.
-1, 2
Suppose 4*d - 1 = 3*d. Let h(u) be the first derivative of 2/3*u + d + 2/9*u**3 + 2/3*u**2. Let h(c) = 0. Calculate c.
-1
Let s(t) = -7*t**2 - 9*t - 2. Let z(v) = 4*v**2 + 5*v + 1. Let d(p) = 6*s(p) + 10*z(p). Factor d(f).
-2*(f + 1)**2
Let g(r) = 2*r. Let b be g(1). Factor -m**2 + 2*m**2 - b - 3*m**2 + 4*m**2.
2*(m - 1)*(m + 1)
Let v(j) = 9*j**3 - 6*j - 4. Let c(b) = 0*b**3 + 0*b + 6*b**3 - 3*b. Let x(w) = w**3 + 1. Let q(n) = -c(n) + 2*x(n). Let m(u) = -7*q(u) - 3*v(u). Factor m(d).
(d - 2)*(d + 1)**2
Let t(w) be the second derivative of -w**6/35 + 27*w**5/70 - 12*w**4/7 + 16*w**3/7 - 39*w. Factor t(n).
-6*n*(n - 4)**2*(n - 1)/7
Let c(r) be the second derivative of 1/12*r**3 + 1/30*r**6 + 1/8*r**5 + 0*r**2 + 0 - r + 1/6*r**4. What is v in c(v) = 0?
-1, -1/2, 0
Solve -28/9*g - 98/9 - 2/9*g**2 = 0.
-7
Let w = -66 - -66. Factor w + 0*j**2 + 1/5*j**3 - 1/5*j.
j*(j - 1)*(j + 1)/5
Suppose -3*z = 4 - 19. Suppose 4*u = g + 13, -z*u + 4*g = -5 - 25. Solve -2/5*n**u + 2/5*n**3 - 2/5*n + 2/5*n**4 + 0 = 0.
-1, 0, 1
Let u be 3/2*(-185)/30. Let n = -9 - u. Factor 1/2*l**2 + 0 - n*l**3 - 1/4*l.
-l*(l - 1)**2/4
Let f(i) be the third derivative of -i**6/540 - i**5/270 + i**4/54 + 67*i**2. Factor f(k).
-2*k*(k - 1)*(k + 2)/9
Factor -2/17*z - 2/17*z**2 - 6/17*z**4 + 10/17*z**3 + 0.
-2*z*(z - 1)**2*(3*z + 1)/17
Let c(y) be the first derivative of -3/2*y - 3/2*y**3 - 3/8*y**4 - 9/4*y**2 + 2. What is h in c(h) = 0?
-1
Factor -2/7*c**4 + 0 - 4/7*c**3 + 0*c + 0*c**2.
-2*c**3*(c + 2)/7
Let n(u) be the third derivative of -u**7/105 - u**6/30 - u**5/30 + 3*u**2. Factor n(a).
-2*a**2*(a + 1)**2
Let y(k) be the third derivative of -k**6/40 - 9*k**5/10 - 27*k**4/2 - 108*k**3 + 9*k**2. Suppose y(n) = 0. What is n?
-6
Let s(p) be the first derivative of p**4/6 - 2*p**3/3 - 13. Find g such that s(g) = 0.
0, 3
Let g(w) = 12*w**3 + 32*w**2 + 12*w - 8. Let b = 9 - 17. Let a(i) = 4*i**3 + 11*i**2 + 4*i - 3. Let t(n) = b*a(n) + 3*g(n). Factor t(k).
4*k*(k + 1)**2
Let i(a) = -3*a**2 - 6*a + 3. Let s(d) = 3*d**2 + 6*d - 2. Let q(l) = -5*i(l) - 6*s(l). Factor q(j).
-3*(j + 1)**2
Let k(z) be the first derivative of 3/4*z**4 + 2/5*z**5 + 0*z - 4/3*z**3 + 1 - 1/6*z**6 - 2*z**2. Factor k(o).
-o*(o - 2)**2*(o + 1)**2
What is d in -4/5*d**4 + 0*d**3 + 0 + 4/5*d**5 + 0*d**2 + 0*d = 0?
0, 1
Let s(n) be the first derivative of -2*n**4/9 + 10*n**3/27 + 2*n**2/9 - 2*n/3 + 13. Suppose s(z) = 0. Calculate z.
-3/4, 1
Let t(v) be the first derivative of -v**6/180 + v**5/30 - v**3/3 - 2. Let s(l) be the third derivative of t(l). Suppose s(h) = 0. What is h?
0, 2
Let z(k) be the third derivative of k**7/945 - k**6/135 + k**5/45 - k**4/27 + k**3/27 - 8*k**2. Factor z(i).
2*(i - 1)**4/9
Let y(o) be the second derivative of o**4/48 + o**3/8 + 4*o. Solve y(v) = 0 for v.
-3, 0
Factor -1/4*i**4 - 1/2*i + 3/4*i**2 + 0*i**3 + 0.
-i*(i - 1)**2*(i + 2)/4
Let v(n) be the second derivative of 3*n + 0 + n**2 - 1/12*n**4 + 1/6*n**3. Factor v(l).
-(l - 2)*(l + 1)
Let l(p) be the first derivative of p**4/22 - 2*p**3/33 - p**2/11 + 2*p/11 - 3. Let l(i) = 0. What is i?
-1, 1
Suppose -2 = 5*y - l, 0 = y - 6*y - 5*l + 10. Factor -1/2*g**5 + 1/2*g**3 + 1/2*g**2 + y + 0*g - 1/2*g**4.
-g**2*(g - 1)*(g + 1)**2/2
Let s(n) = -8*n**2 + 7*n + 1. Let t(q) = -8*q**2 + 8*q. Let g(p) = -4*s(p) + 6*t(p). Suppose g(k) = 0. What is k?
1/4, 1
Let q = 5 + -3. What is r in -r**3 - 6*r**q + 3*r**3 + 5*r - r = 0?
0, 1, 2
Let m(l) be the second derivative of -l**7/7560 - l**6/720 - l**5/180 - l**4/12 + 2*l. Let f(v) be the third derivative of m(v). Determine z so that f(z) = 0.
-2, -1
Let i(q) = -3*q**4 - 15*q**3 + 42*q**2 - 30*q + 6. Let s(a) = a**5 - a**3 - a + 1. Let n(j) = i(j) + 3*s(j). Solve n(w) = 0 for w.
-3, 1
Let g(b) be the second derivative of b**4/3 + 2*b**3 + 4*b**2 + 12*b. Suppose g(h) = 0. What is h?
-2, -1
Factor -21*a**4 + 10*a + 0 - 5 - 10*a**3 + 26*a**4.
5*(a - 1)**3*(a + 1)
Let y(m) be the third derivative of -m**8/112 - m**7/35 + m**6/40 + m**5/10 - 12*m**2. Determine u so that y(u) = 0.
-2, -1, 0, 1
Let h(g) = g**2 - 6*g + 2. Let b be h(6). Let v be (-12)/(-5) - (0 + 2). Determine t, given that -2/5 - 4/5*t - v*t**b = 0.
-1
Let l(u) be the first derivative of -u**7/21 - u**6/30 + u**5/6 + u**4/6 - u**2 - 4. Let g(f) be the second derivative of l(f). Factor g(w).
-2*w*(w - 1)*(w + 1)*(5*w + 2)
Let n be (-13 - 11)*10/(-18). Let y(h) be the first derivative of -n*h**3 - 2 + 7*h**2 + 11/2*h**4 + 4*h. Factor y(j).
2*(j - 1)**2*(11*j + 2)
Factor 13*z + z**2 - 5*z - 5*z**2.
-4*z*(z - 2)
Let j be (-4 - 0)*(-2)/4. Let z(s) be the first derivative of -j*s + 16/3*s**3 + 3/4*s**4 - 3/2*s**2 - 3 - 14/5*s**5. Determine q so that z(q) = 0.
-1, -2/7, 1/2, 1
Let b(h) be the second derivative of h**8/3360 - h**6/240 + h**5/120 - 2*h**3/3 - 2*h. Let t(n) be the second derivative of b(n). Factor t(o).
o*(o - 1)**2*(o + 2)/2
Let q be 45/(-175)*(-30)/9. Let z be 4/7 - 4/14. Factor -q*w**2 + z*w**3 + 0 + 4/7*w.
2*w*(w - 2)*(w - 1)/7
Factor -2/13 - 2/13*g**4 - 8/13*g**3 - 12/13*g**2 - 8/13*g.
-2*(g + 1)**4/13
Let w(z) = z**2 - 9*z + 3. Let n = 21 + -12. Let l be w(n). Find x such that -3*x**2 - x**l + x**2 + 3*x**3 = 0.
0, 1
Let o(y) = -13*y**4 + 7*y**3 - 17*y**2 - 7*y + 21. Let v(p) = 3*p**4 - 2*p**3 + 4*p**2 + 2*p - 5. Let b(z) = -4*o(z) - 18*v(z). Determine w so that b(w) = 0.
-1, 1, 3
Suppose y + 5 = 5*p, -3*p + 8 = 4*y + 5. Suppose y + 1/5*f**3 + 2/5*f**2 + 0*f = 0. What is f?
-2, 0
Determine u so that 3*u + 0*u**2 + 6*u - 2*u**2 - 3*u = 0.
0, 3
Solve 0 + 2/11*n**2 + 0*n = 0 for n.
0
Let w be 6 - (1 - 2/(-1)). Determine i, given that 3*i**3 + i**3 + i**2 + 12*i**2 - 4 + 2*i**w = 0.
-2, -2/3, 1/2
Let n(l) = -2*l**2 - l - 9. Let p(b) = 3*b**2 + 2*b + 13. Let y(o) = 7*n(o) + 5*p(o). Determine t, given that y(t) = 0.
-2, -1
Let v(w) be the first derivative of w**3/3 - 5*w**2 + 18*w - 1. Let s be v(8). Factor 4/7 - 2/7*y**s - 2/7*y.
-2*(y - 1)*(y + 2)/7
Let x(p) be the second derivative of p**6/210 - p**5/140 - p**4/84 + p**3/42 - 17*p. Factor x(k).
k*(k - 1)**2*(k + 1)/7
Find k, given that 1/2*k**3 - 5/2*k**2 + 1 - 1/2*k + 3/2*k**4 = 0.
-1, 2/3, 1
Let y = 11 - 0. Suppose 0 = 5*o - 5*m + y - 1, 4*m = 3*o + 11. Let -6*j + j**2 + 1 + 1 + o*j = 0. What is j?
1, 2
Let h(m) = -m**3 - 5*m**2 - m - 2. Let n be h(-5). Suppose -8*q + n*q + 10 = 0. Factor -2*v**2 - q*v**3 - 8 + 8 + 4*v.
-2*v*(v - 1)*(v + 2)
Let g be 1 + 1/(-1) + 2. Suppose 5*x - 54 = -44. Factor -2*j + j**x + 4*j**2 - g*j**3 - j**2.
-2*j*(j - 1)**2
Let n(y) = y**2 + 10*y + 3. Let u be n(-10). Suppose -2*t - u*t + 10 = 0. Factor 3 + 0*l - 7 + t*l**2 + 2*l.
2*(l - 1)*(l + 2)
Let y(c) be the third derivative of -1/3*c**3 - 1/60*c**5 + 0 - 1/8*c**4 + c**2 + 0*c. Factor y(t).
-(t + 1)*(t + 2)
Let m = 95 + -93. Solve 1/4*n**3 - 3/2*n**2 + 3*n - m = 0.
2
Let p(u) = 2*u**3 + 2*u**2 - u - 3. Let z = 8 - 11. Let x(h) = 3*h**3 + 4*h**2 - 2*h - 5. Let i(r) = z*x(r) + 5*p(r). Factor i(g).
g*(g - 1)**2
Suppose 4 - 28 = -4*n. Let q(t) = 17*t**2 + 5. Let f(p) = 9*