tor 0*x - 1/8*x**2 + 0 - 1/4*x**3 - 1/8*x**4.
-x**2*(x + 1)**2/8
Let x(g) be the first derivative of g**5/100 + g**4/30 - 2*g**3/15 - 4*g**2/5 - 3*g + 6. Let p(n) be the first derivative of x(n). Factor p(v).
(v - 2)*(v + 2)**2/5
Let i(n) be the first derivative of -80*n**4 - 80*n**3/3 - 5*n**2/2 + 53. Factor i(d).
-5*d*(8*d + 1)**2
Suppose 0 - 45/2*f**3 + 10/3*f - 35/6*f**5 - 65/3*f**4 - 10/3*f**2 = 0. Calculate f.
-2, -1, 0, 2/7
Let t(u) = -4*u**2 + 6*u - 8. Let w(l) = 9*l**2 - 11*l + 17. Let z be (-4)/6*(-11 - -5). Let p(n) = z*w(n) + 10*t(n). Factor p(y).
-4*(y - 3)*(y - 1)
Suppose 3/8*v**2 - 57/2*v + 1083/2 = 0. Calculate v.
38
Let g(t) be the first derivative of t**4/26 - 22*t**3/39 + 19*t**2/13 - 18*t/13 + 328. What is p in g(p) = 0?
1, 9
Suppose 4*k - o - 7 = 0, -5*o + 12 = -k - 2*o. Find x, given that -8*x + 3 - 4*x**4 + 2 - 1 + 8*x**k = 0.
-1, 1
Let j = 441 + -438. Let p(t) be the third derivative of 0*t + 1/450*t**6 - 7*t**2 + 0*t**4 + 1/1575*t**7 + 0*t**j + 0*t**5 + 0. Factor p(y).
2*y**3*(y + 2)/15
Let m(o) = -o**3 + 17*o**2 + o - 17. Let x be m(17). Factor -6/7*l + x*l**2 + 2/7*l**3 + 4/7.
2*(l - 1)**2*(l + 2)/7
Let v = -11479 + 11487. Factor 2/3*y**3 + 32*y - v*y**2 - 128/3.
2*(y - 4)**3/3
Let t(v) be the second derivative of v**5/20 - 2*v**4/3 + v**3/6 - 2*v**2 - 5*v. Let n be t(8). Let 7*r - n*r + 4*r**2 + 5*r = 0. Calculate r.
-2, 0
Factor 0*h + 1/8*h**2 + 1/8*h**3 + 0.
h**2*(h + 1)/8
Let f(d) = -29*d**3 + 65*d**2 + 17*d. Let m(g) = 11*g**2 + 4*g + 2*g - 5*g**3 + 0*g - 3*g. Let a(o) = 6*f(o) - 34*m(o). Factor a(t).
-4*t**2*(t - 4)
Let v(u) = -u**4 - u**2 - 2*u - 1. Let y(w) = -25*w**4 + 30*w**3 - 90*w**2 - 410*w + 345. Let s(h) = 30*v(h) - y(h). Solve s(m) = 0 for m.
-5, 1, 3
Suppose 21*y + 85 = 190. Let u(b) be the second derivative of 3/20*b**y + 0 + 3/10*b**6 - 3/4*b**4 - 6*b - b**3 + 1/14*b**7 + 0*b**2. Factor u(d).
3*d*(d - 1)*(d + 1)**2*(d + 2)
Solve 1/2*z**5 + 6272/3*z + 986/3*z**3 - 1848*z**2 + 2744/3 - 131/6*z**4 = 0 for z.
-1/3, 2, 14
Let c(b) be the third derivative of -b**7/1365 - b**6/260 - b**5/390 + b**4/52 + 2*b**3/39 + 13*b**2 - 1. Let c(p) = 0. What is p?
-2, -1, 1
Let d(i) be the second derivative of -7*i**4/4 + 13*i**3/2 - 9*i**2 + i - 26. Solve d(z) = 0 for z.
6/7, 1
Let k(w) be the first derivative of 5*w**4/4 - 35*w**3/3 + 35*w**2 - 40*w + 46. Factor k(n).
5*(n - 4)*(n - 2)*(n - 1)
Let q(c) be the second derivative of -5*c**4/12 - 80*c**3/3 - 155*c**2/2 + 133*c. Factor q(k).
-5*(k + 1)*(k + 31)
Suppose -63*l + 73*l - 20 = 0. Find y such that 0 + y + 1/3*y**l = 0.
-3, 0
Let m(p) = p**4 - 3*p**3 - 5*p**2 - 2. Let y(t) = t**3 + t**2 + 1. Let h be 4/(-14) - (-1)/(21/(-78)). Let j(s) = h*m(s) - 12*y(s). Factor j(u).
-4*(u - 1)**2*(u + 1)**2
Suppose -2*r - 24 = -30. Let a(l) be the first derivative of 2 - 2/3*l**r - 2*l**2 - 2*l. Factor a(j).
-2*(j + 1)**2
Factor 696*w + 24389/2*w**3 - 5046*w**2 - 32.
(29*w - 4)**3/2
Let c(n) be the third derivative of -n**7/420 - 7*n**6/240 - n**5/12 - 104*n**2. Let c(o) = 0. Calculate o.
-5, -2, 0
Suppose -8 = 3*z + 4*l, 0 = z + 5*l + 13 + 8. Let i(h) = -h + 6. Let d be i(z). Factor -1/4*x + 0 + 1/4*x**3 - 1/4*x**4 + 1/4*x**d.
-x*(x - 1)**2*(x + 1)/4
Find t, given that -2*t**2 + t**3 + 3/2*t**4 + 1/2 - t = 0.
-1, 1/3, 1
Let f(p) = p**3 - 8*p**2 - 9*p + 9. Let k be f(9). Suppose k*n = 10*n - 2. Let 0*x + 2/3*x**4 + 0 + 2/3*x**n + 4/3*x**3 = 0. What is x?
-1, 0
Let c(b) be the second derivative of -b**6/60 + 7*b**5/80 - b**4/16 - 72*b. Determine t so that c(t) = 0.
0, 1/2, 3
Factor -18/5*x**3 + 0*x + 4/5*x**2 + 0.
-2*x**2*(9*x - 2)/5
Let r(k) be the second derivative of k**6/120 + k**5/20 - 4*k**2 - 8*k. Let w(h) be the first derivative of r(h). Factor w(s).
s**2*(s + 3)
Let o(l) = -2*l + 2. Let n(d) = 6*d**2 + 12*d**2 - 11 + 10*d - 19*d**2. Let a(z) = 2*n(z) + 11*o(z). Find g, given that a(g) = 0.
-1, 0
Factor 0 + 2/9*o**4 + 8/9*o**2 + 0*o + 10/9*o**3.
2*o**2*(o + 1)*(o + 4)/9
Let l(s) be the second derivative of 13*s**4/6 + 7*s**3/3 - 6*s**2 - 2*s - 3. Factor l(k).
2*(k + 1)*(13*k - 6)
Let s be 15/(-4)*408/(-425). Factor 0 + 3/5*h**2 + 3*h**3 + 0*h - s*h**4.
-3*h**2*(h - 1)*(6*h + 1)/5
Let s(c) be the third derivative of -c**6/60 + 6*c**5/25 - 7*c**4/60 + 210*c**2. Find j, given that s(j) = 0.
0, 1/5, 7
Let r = 9338 + -18673/2. Factor -3/2*w**2 - 1/2*w + 1/2*w**3 + r.
(w - 3)*(w - 1)*(w + 1)/2
Factor -242*t + 20*t**2 + 2*t**3 - 52*t**2 - 86*t**2 - 122.
2*(t - 61)*(t + 1)**2
Let t be (-384)/(-30)*-1 + 13. Determine b, given that b - 6/5 - t*b**2 = 0.
2, 3
Factor 44/7 + 2/7*h**2 - 26/7*h.
2*(h - 11)*(h - 2)/7
Let v(o) be the second derivative of -1/18*o**4 + 0*o**3 - 10*o + 0*o**2 + 0. Suppose v(w) = 0. Calculate w.
0
Let s(m) = -495*m**3 - 585*m**2 - 170*m + 40. Suppose r - 4 + 1 = 0. Let n(d) = 38*d**3 + 45*d**2 + 13*d - 3. Let x(t) = r*s(t) + 40*n(t). Factor x(k).
5*k*(k + 1)*(7*k + 2)
Solve 0 + 4/5*c**2 + 2/5*c**3 + 0*c = 0 for c.
-2, 0
Factor -3/2 - 15/2*r**2 - 9*r.
-3*(r + 1)*(5*r + 1)/2
Let z(a) be the first derivative of 3*a**4/8 - 83*a**3/6 - 30*a**2 + 58*a - 88. Suppose z(h) = 0. What is h?
-2, 2/3, 29
Find c, given that -108*c**2 + 4*c**3 - 116 + 325*c - 409*c - 144*c = 0.
-1, 29
Let o(f) be the first derivative of 2*f**4/3 + f**3/9 + 132. Determine j, given that o(j) = 0.
-1/8, 0
Let d be 2/(-6) - 26/(-6). Suppose -5*p + 16 = -k, d*k = 5*p - k - 20. Find h such that -7*h + h + 2 + 0*h**4 + 4*h**p + 2*h**5 - 6*h**4 + 4*h**2 = 0.
-1, 1
Let j = 4654409/30590 + -6985/46. Let r = j + -2/95. Find b such that -6/7*b**2 + 6/7*b**4 + 0 - r*b + 2/7*b**3 = 0.
-1, -1/3, 0, 1
Factor -27/2 - 3/2*w**2 + 15*w.
-3*(w - 9)*(w - 1)/2
Factor 6/5*t + 2/5*t**3 - 2/5*t**4 + 2*t**2 + 0.
-2*t*(t - 3)*(t + 1)**2/5
Let y(p) = 24*p**3 - 6*p**2 - 690*p - 2109. Let s(n) = -11*n**3 + 4*n**2 + 345*n + 1054. Let b(o) = 9*s(o) + 4*y(o). Suppose b(h) = 0. Calculate h.
-5, 14
Suppose -37*f**2 - 7/2*f**4 - 1/4*f**5 - 69/4*f**3 - 12 - 35*f = 0. What is f?
-6, -4, -2, -1
Let y(a) be the first derivative of -a**4/2 + 34*a**3/3 - 63*a**2 - 162*a + 731. Let y(r) = 0. What is r?
-1, 9
Factor 19*m - 15*m + 2*m**3 - 10 + 2*m**3 - 16*m + 18*m**2.
2*(m - 1)*(m + 5)*(2*m + 1)
Solve 12*i - 27*i**2 - 3*i**4 + 46 + 19 + 18*i**3 - 65 = 0 for i.
0, 1, 4
Let n(o) = -28*o**3 - 516*o**2 + 1570*o - 1090. Let r(w) = 52*w**3 + 1032*w**2 - 3141*w + 2181. Let h(d) = -5*n(d) - 2*r(d). Find p, given that h(p) = 0.
-17, 4/3
Let k(c) be the first derivative of c**4/14 - 34*c**3/21 - 20*c**2/7 + 72*c/7 - 751. Factor k(m).
2*(m - 18)*(m - 1)*(m + 2)/7
Let r = 5557 + -5543. Solve -r*j**2 + 98*j - 686/3 + 2/3*j**3 = 0 for j.
7
Let i(r) = -3*r**3 - 32*r**2 + 3*r + 22. Let o(m) = 5*m**3 + 48*m**2 - 5*m - 34. Let g(c) = 7*i(c) + 5*o(c). Find f, given that g(f) = 0.
-4, -1, 1
Let z = -183 + 184. Let j(u) be the first derivative of -1/2*u**4 + z + u**2 - 4/3*u**3 + 4*u. Find c, given that j(c) = 0.
-2, -1, 1
Factor -11/6*v + 1/6*v**2 + 5.
(v - 6)*(v - 5)/6
Let t(k) = -5*k**2 - 32*k + 257. Let l be t(-11). Factor 48/5*g**2 + 42/5*g**3 + 27/5*g + 6/5 + 18/5*g**l + 3/5*g**5.
3*(g + 1)**4*(g + 2)/5
Let l(w) be the first derivative of -900/7*w + 60/7*w**2 - 4/21*w**3 - 40. Suppose l(f) = 0. What is f?
15
Let t(w) be the third derivative of -w**9/45360 + w**8/7560 - 31*w**5/60 + w**2. Let g(v) be the third derivative of t(v). Solve g(k) = 0.
0, 2
Suppose 0 = -3*z + 3*a + 69, -5*a = z - 5*z + 88. Let s = -25 + z. Factor -s*h**2 - 3*h**2 + 5*h**2 + 3*h**2.
3*h**2
Let m be 1/(10/(-4)) - (-81)/15. Suppose -m*a = 2*w - 24, -w + 2*w = 2*a - 6. Determine q, given that 46/7*q**3 - 40/7*q**2 + 8/7*q + 0 - w*q**4 = 0.
0, 2/7, 1, 2
Factor -64*h - 121*h**2 - 178*h**4 - 17*h**3 + 41*h**2 + 177*h**4.
-h*(h + 1)*(h + 8)**2
Let s be 11/3 + (-2)/3. Find q such that 0*q**s - 25*q - 8*q**2 + 9*q - q**3 = 0.
-4, 0
Let r(x) be the first derivative of 1/24*x**4 + 0*x**3 + 7 + 0*x + 0*x**2. Solve r(w) = 0.
0
Let h(i) be the first derivative of 2*i**5/45 + 2*i**4/9 - 2*i**3/27 - 16*i**2/9 - 8*i/3 - 341. Solve h(a) = 0 for a.
-3, -2, -1, 2
Let l(h) be the first derivative of h**6/9 + 7*h**5/12 + 5*h**4/4 + 25*h**3/18 + 5*h**2/6 + 24*h - 10. Let c(g) be the first derivative of l(g). Factor c(p).
5*(p + 1)**3*(2*p + 1)/3
Let 123*m - 45*m**2 + 144*m + 18 + 932*m**2