rivative of -8*z**4/9 + 496*z**3/27 - 121*z**2/9 + 10*z/3 - 543. Factor a(m).
-2*(m - 15)*(4*m - 1)**2/9
Let p(j) = 3*j**2 + 17*j + 23. Let f be p(-4). Let l(t) be the third derivative of 1/90*t**5 - 1/36*t**4 - 3*t**2 + 0 + 1/36*t**f + 0*t. Factor l(w).
(2*w - 1)**2/6
Suppose -b - 3 + 5 = 3*z, -4*b - 2*z + 8 = 0. Suppose b*l = -p + 4 - 0, -3*p = 0. Factor -2*v**l + 0 - 2/5*v - 8/5*v**3.
-2*v*(v + 1)*(4*v + 1)/5
What is u in 8/3 - 2/15*u**2 - 16/15*u = 0?
-10, 2
Suppose 0 = -b + 4*t + 2 + 8, -4*b + 5*t - 4 = 0. Let x be b/9 - (-8)/12. Determine i, given that -3*i**2 - 3/2*i**5 + x + 9/2*i**3 + 0*i + 0*i**4 = 0.
-2, 0, 1
Let n(t) be the second derivative of -t**6/40 + 21*t**5/80 + 5*t**4/2 + 11*t**3/2 + 40*t. Find p such that n(p) = 0.
-2, 0, 11
Let b = 18 - 12. Let l be ((-32)/(-280))/(b/15). Find t, given that -l - 2/7*t**2 + 4/7*t = 0.
1
Let w(y) = y**2 - 3*y - 1. Let f(x) = -6*x**2 + 46*x - 56. Let m(u) = -f(u) - 4*w(u). Factor m(o).
2*(o - 15)*(o - 2)
Let f(v) be the third derivative of -v**7/1050 + v**6/150 - v**5/60 + v**4/60 - v**2 - 20*v. Factor f(c).
-c*(c - 2)*(c - 1)**2/5
Factor 18*l + 9 + 12*l**2 + 8/3*l**3.
(2*l + 3)**3/3
Find z such that -1/2 + 3/8*z + 1/8*z**2 = 0.
-4, 1
Let h be 5/(-20)*(-27 + (-3 - -2)). Let a(t) be the second derivative of -2*t**3 - 1/4*t**4 - h*t - 6*t**2 + 0. Determine j, given that a(j) = 0.
-2
Let y(m) be the first derivative of -m**7/105 - m**6/60 + m**5/30 + m**4/12 - 21*m**2/2 - 10. Let t(j) be the second derivative of y(j). Factor t(h).
-2*h*(h - 1)*(h + 1)**2
Let q(h) be the first derivative of -h**5/40 + h**4/16 + h**2 + 3. Let v(p) be the second derivative of q(p). Factor v(x).
-3*x*(x - 1)/2
Let s(w) = 4*w**2 - 2*w + 1. Let a(u) be the first derivative of -3*u**3 + 3*u**2/2 - u - 22. Let r(q) = -6*a(q) - 14*s(q). Factor r(g).
-2*(g - 4)*(g - 1)
Let i = 127/28 - 17/4. Let w(q) be the first derivative of 3 - 2/7*q**2 + 2/21*q**3 + i*q. Factor w(y).
2*(y - 1)**2/7
Let t = 45889/57380 + 3/11476. Factor t*g**3 + 2/5*g**2 + 0 - 2/5*g**4 - 4/5*g.
-2*g*(g - 2)*(g - 1)*(g + 1)/5
Let v(j) be the first derivative of j**4/14 + 2*j**3/7 - 4*j**2/7 - 62. Suppose v(y) = 0. What is y?
-4, 0, 1
Let k(s) = -s**3 + 6*s**2 - 8*s + 2. Let u be k(4). Suppose -u*o - 2*z + 2 = -o, -z = 0. Determine v so that 6/7*v**o - 24/7*v + 10/7*v**3 + 8/7 = 0.
-2, 2/5, 1
Let c(h) be the second derivative of -h**4/114 + 21*h**3/19 + 64*h**2/19 + 369*h - 1. Suppose c(b) = 0. Calculate b.
-1, 64
Let f(l) be the first derivative of l**3/5 - 11*l**2/10 + 6*l/5 + 204. Find k such that f(k) = 0.
2/3, 3
Let a be (-36)/(-80) - 5/20. Let y(z) be the first derivative of -a*z**4 - 7 + 1/15*z**6 + 0*z**5 + 1/5*z**2 + 0*z + 0*z**3. Suppose y(x) = 0. Calculate x.
-1, 0, 1
Let u(t) be the third derivative of -t**7/735 + t**6/70 - t**5/42 + 50*t**2. Factor u(a).
-2*a**2*(a - 5)*(a - 1)/7
Factor 4*a - 4/3*a**4 + 0 + 4/3*a**3 + 20/3*a**2.
-4*a*(a - 3)*(a + 1)**2/3
Let d(m) be the first derivative of -5*m**6/9 - 128*m**5/45 - 67*m**4/18 + 4*m**3/3 + 28*m**2/9 - 16*m/9 - 211. What is y in d(y) = 0?
-2, -1, 1/3, 2/5
Let d = -1171/120 + 49/5. Let o(k) be the second derivative of 0 - 1/12*k**3 + d*k**4 + 0*k**2 - 4*k. Suppose o(w) = 0. What is w?
0, 1
Let v(x) = -2*x**3 - 16*x**2 + 3*x + 6. Let q(s) = -3*s**3 - 18*s**2 + 4*s + 8. Let b(o) = 3*q(o) - 4*v(o). Factor b(p).
-p**2*(p - 10)
Let i(r) be the first derivative of -r**8/2520 - r**7/1260 + r**6/108 - r**5/60 + 8*r**3/3 + 16. Let j(h) be the third derivative of i(h). Factor j(y).
-2*y*(y - 1)**2*(y + 3)/3
Let c(k) = -k**4 + k**3 - k**2 - k. Let f be (1 - -2)*(-6)/9. Let v(h) = 4*h**4. Let d(q) = f*c(q) - v(q). Factor d(t).
-2*t*(t - 1)*(t + 1)**2
Suppose -12 = -7*b + 23. Let l(h) = h - 1. Let z be l(5). Let f(g) = 3*g**2 + 11*g + 5. Let d(s) = -2*s**2 - 10*s - 4. Let k(v) = b*d(v) + z*f(v). Factor k(c).
2*c*(c - 3)
Let w(a) = 4*a - 24. Let i be w(7). Let u(n) be the third derivative of 0 + 0*n - 1/10*n**5 - 1/6*n**i + 0*n**3 + 1/30*n**6 + 1/35*n**7 - 4*n**2. Factor u(q).
2*q*(q - 1)*(q + 1)*(3*q + 2)
Let b(j) = 2*j**3 - 4*j**2 + j. Let z be b(2). Suppose 3*n = -3*u + 12, 5*u - z*n - n = 20. Solve x**2 + 0 - 11/2*x**3 - 7/2*x**5 + 0*x + 8*x**u = 0.
0, 2/7, 1
Determine g, given that -614*g**3 + 7 + 13*g**2 + 3*g**4 - 4*g**4 + 11*g + 603*g**3 - 19 = 0.
-12, -1, 1
Find o such that 5813 - 30328*o - 21460*o + 8372*o**3 + 98*o**4 + 176394*o**2 - 51068*o + 8979 = 0.
-43, 2/7
Factor -8/5 + 204/5*c + 212/5*c**2.
4*(c + 1)*(53*c - 2)/5
Solve 8 + 2/3*q**2 + 26/3*q = 0 for q.
-12, -1
Let c(p) be the third derivative of 3*p**7/70 + 7*p**6/20 + 61*p**5/60 + 7*p**4/6 + 2*p**3/3 + 44*p**2 + 2*p. Factor c(z).
(z + 2)**2*(3*z + 1)**2
Solve -18*x**3 + 21*x - 4 + 36*x**4 - x**2 - 18*x**4 - 3*x**3 - 13*x**4 = 0 for x.
-1, 1/5, 1, 4
Let a(x) = -3*x**2 + 15*x + 6. Let s be 3 + (0 - 4) + 2. Let h = s + -7. Let c(o) = -5*o**2 + 29*o + 11. Let f(p) = h*c(p) + 11*a(p). Solve f(k) = 0.
-3, 0
Let i(y) be the first derivative of -y**4/18 + 4*y**3/27 + 5*y**2/9 - 4*y/3 - 41. Solve i(a) = 0 for a.
-2, 1, 3
Let k(l) be the third derivative of -l**6/2880 - l**5/240 - l**4/64 + 7*l**3/6 - l**2. Let p(q) be the first derivative of k(q). Factor p(s).
-(s + 1)*(s + 3)/8
Let m(y) be the first derivative of y**5/25 + y**4/20 - 3*y**3/5 - 9*y**2/10 - 89. Suppose m(o) = 0. Calculate o.
-3, -1, 0, 3
Let w(t) be the second derivative of 2*t**7/735 - t**6/210 - 2*t**5/105 + t**2 - 14*t. Let r(u) be the first derivative of w(u). Factor r(n).
4*n**2*(n - 2)*(n + 1)/7
Let g be ((-48)/(-560)*-5)/((-20)/(-7) - 3). Factor 0 + 1/2*r**g + 0*r - 1/2*r**2.
r**2*(r - 1)/2
Let p = -1751 + 1751. Let c(h) be the second derivative of -1/3*h**3 + 1/6*h**4 - 5*h + p - 2*h**2. Determine s so that c(s) = 0.
-1, 2
Let t(z) be the first derivative of -7*z**3/18 - 9*z**2/2 + 8*z/3 - 57. Factor t(r).
-(r + 8)*(7*r - 2)/6
Let d(a) be the second derivative of -1/12*a**3 + 0 + 0*a**2 - 8*a + 1/24*a**4. Let d(y) = 0. Calculate y.
0, 1
Let v(a) = 15*a. Let m be v(-1). Let n = m - -19. Let 18*h**3 + 11*h**2 + 16*h**4 + 3*h**5 + h**2 + 3*h - n*h**4 = 0. What is h?
-1, 0
Let t be (272/(-20))/(-1)*30. Suppose -552 - t = -8*u. Determine x, given that -u*x - 2250*x**3 + 16/3 + 900*x**2 = 0.
2/15
Let k(x) be the third derivative of -x**6/420 + 2*x**5/105 + x**4/84 - 4*x**3/21 + 3*x**2 + 47. Find n, given that k(n) = 0.
-1, 1, 4
Let w(u) be the first derivative of -12 - 2/27*u**3 + 0*u + 1/3*u**2. Factor w(y).
-2*y*(y - 3)/9
Let s(o) be the first derivative of -o**5/390 - o**4/78 + 39*o**2/2 - 31. Let b(y) be the second derivative of s(y). Factor b(g).
-2*g*(g + 2)/13
Let p(w) be the first derivative of w**6/21 + 2*w**5/5 + 5*w**4/7 + 465. Factor p(t).
2*t**3*(t + 2)*(t + 5)/7
Factor 0 - 770/3*h**2 + 29645/3*h + 5/3*h**3.
5*h*(h - 77)**2/3
Let w(l) = -3*l**2 - 3*l**2 + 99*l + 0*l**2 - 494 + 17*l. Let k(d) = 4*d**2 - 77*d + 329. Let g(f) = -8*k(f) - 5*w(f). Suppose g(c) = 0. Calculate c.
9
Let b be (-2)/34 - 1278/(-918). Factor -4/3*v**2 + v**3 - b*v + 0.
v*(v - 2)*(3*v + 2)/3
Let i(f) be the first derivative of f**4/7 + 4*f**3/7 - 242*f**2/7 + 468*f/7 + 401. Suppose i(j) = 0. Calculate j.
-13, 1, 9
Let j(w) = -w**3 + 4*w**2 + 119*w + 21. Let o be j(-9). Factor 1/4*p**4 + 3*p - 11/4*p**2 + 9 - 1/2*p**o.
(p - 3)**2*(p + 2)**2/4
Let 5/6*p**4 - 17/3*p - 13/2*p**2 - 4/3 - 4/3*p**3 = 0. Calculate p.
-1, -2/5, 4
Let l(u) be the second derivative of -u**6/135 + u**5/15 - u**4/18 - 10*u**3/27 + u - 169. Solve l(w) = 0 for w.
-1, 0, 2, 5
Let r = 119 - 3687/31. Let x = 80/279 - r. Factor 0*h + 0 - x*h**2 + 2/9*h**3.
2*h**2*(h - 1)/9
Find g, given that 55*g + g**3 + 81*g**2 - 45*g**2 + 8*g + 2*g**3 - 294 = 0.
-7, 2
Let b(g) = 9*g**3 - 25*g**2 - 20*g. Let y(w) = 6*w**3 - 17*w**2 - 13*w. Let c(a) = -5*b(a) + 7*y(a). Factor c(h).
-3*h*(h - 3)*(h + 1)
Let s be -5*1/(-5)*9. Suppose -t = 3*n - 1 + s, 3*t - 4*n - 41 = 0. Factor 3*h**5 + 7*h**3 + h**2 - t*h**4 + 2*h**4 + 4 - 2*h**5 - 8*h.
(h - 2)**2*(h - 1)**2*(h + 1)
Suppose -8/3*z**2 + 2/3*z**3 - 1/3*z - 1/3*z**5 + 4/3*z**4 + 4/3 = 0. Calculate z.
-1, 1, 4
Let c(s) = -18*s**3 - 63*s**2 + 153*s + 72. Let h(z) = -35*z**3 - 127*z**2 + 307*z + 144. Let p(b) = 5*c(b) - 3*h(b). Determine v so that p(v) = 0.
-6, -2/5, 2
Let r(c) be the second derivativ