/24*y**4 + 5/24*y**6 + 2*y + 1/21*y**7 + 0 - 7*y**2 - 7/4*y**5 - 25/6*y**3. Factor a(q).
5*(q - 1)**2*(q + 5)*(2*q - 1)
Let q(m) be the first derivative of 0*m**3 - 15 + 0*m**4 - 3/25*m**5 + 1/10*m**6 + 0*m + 0*m**2. Factor q(a).
3*a**4*(a - 1)/5
Let d = 4 + -2. What is r in d*r**3 - 45*r + 4*r**2 + 45*r = 0?
-2, 0
Factor 0 + 4/23*g**2 + 0*g + 18/23*g**3 + 8/23*g**4.
2*g**2*(g + 2)*(4*g + 1)/23
What is y in 114*y - 23*y**2 + 1236 + 10*y**2 + 70*y + 880 + 17*y**2 = 0?
-23
Factor -2*r - 16*r**2 - 9*r + r**4 + 596*r**3 - 605*r**3 - 5*r**2.
r*(r - 11)*(r + 1)**2
Factor -504/13*g**2 - 2/13*g**3 - 1185408/13 - 42336/13*g.
-2*(g + 84)**3/13
Suppose 0*r - 4/5*r**5 + 6/5*r**4 + 0 - 2/5*r**3 + 0*r**2 = 0. What is r?
0, 1/2, 1
Let x(p) be the third derivative of p**8/151200 + p**7/18900 + p**6/5400 + p**5/12 + p**2. Let q(v) be the third derivative of x(v). Factor q(j).
2*(j + 1)**2/15
Suppose 0 = 5*l + 5 - 15. Solve -x**3 + 1 + 2*x**2 + 1 - 5*x + 2*x**l = 0 for x.
1, 2
Suppose 102*k - 101*k = 2*j - 10, -8 = 5*k - 3*j. Factor 2/5*b**4 + 4/5*b - 4/5*b**3 - 2/5*b**k + 0.
2*b*(b - 2)*(b - 1)*(b + 1)/5
Let z(x) = x**5 - 2*x**4 + x**2 + x - 1. Let d(a) = 2*a**5 + 2*a**4 - 8*a**3 + 4*a**2 + 4*a - 4. Let r(t) = d(t) - 4*z(t). Solve r(j) = 0 for j.
0, 1, 4
Let k(y) be the first derivative of -4*y**3 - 3/4*y**4 + 0*y - 12 - 9/2*y**2. Factor k(b).
-3*b*(b + 1)*(b + 3)
Let x be 16/42*13/26. Let l(v) be the third derivative of 1/21*v**4 - 1/210*v**5 + 0 + 0*v - x*v**3 + 2*v**2. Factor l(r).
-2*(r - 2)**2/7
Let f = -15 - -8. Let i(w) = w**2 + 10*w + 21. Let o be i(f). Let o - 1/3*d**3 + 0*d + 2/3*d**2 = 0. Calculate d.
0, 2
Let z be 5 + (-9 + 2 - 1*(-228)/18). What is g in -16/3*g**2 + z*g + 2/3*g**3 + 0 = 0?
0, 4
Let m = 202 + 43. What is r in -102*r - 511*r**4 - 78*r - 819*r**4 - 1385*r**3 + 1140*r**2 - m*r**5 = 0?
-3, 0, 2/7
Factor -68/9*i - 2/9*i**2 - 22/3.
-2*(i + 1)*(i + 33)/9
Let u = 253 - 251. Let 2/15 - 4/15*t**3 - 2/15*t**4 + 0*t**u + 4/15*t = 0. What is t?
-1, 1
Let z(w) be the first derivative of 12 - 4*w**2 + 28/3*w**3 + 0*w. Factor z(p).
4*p*(7*p - 2)
Let y(r) = -2*r**2 + 13*r - 10. Let q be y(5). Let k(z) be the third derivative of 10*z**2 + 1/12*z**4 - 1/60*z**q + 1/2*z**3 + 0*z + 0. Solve k(j) = 0.
-1, 3
Let x(d) = -7*d**4 + 18*d**3 - 3*d**2 - 13*d - 5. Let r(i) = i**4 + i**2 - i + 1. Let z(y) = 5*r(y) + x(y). Factor z(a).
-2*a*(a - 9)*(a - 1)*(a + 1)
Find v, given that -2/3*v**4 - 154/3*v + 10/3*v**3 + 80/3 + 22*v**2 = 0.
-5, 1, 8
Let t(b) be the second derivative of 14/3*b**3 - b + 0 - 5/3*b**4 - 6*b**2 + 1/5*b**5. Determine d so that t(d) = 0.
1, 3
Suppose 3*r - 8 = -2. Let o = 99 - 74. Solve o*k**2 - 10*k**r - 14*k**2 = 0 for k.
0
Suppose 0 = -6*i + 2*i + 3*y + 273, y = -5*i + 365. Let o be 224/i + 2/(-18). Factor 1/3 + 2/3*d**2 - d**4 - 1/3*d**5 + d - 2/3*d**o.
-(d - 1)*(d + 1)**4/3
Let o(d) be the third derivative of 1/70*d**5 + 0*d + 1/21*d**3 + 0 + 5/84*d**4 - 4/735*d**7 + 18*d**2 - 1/84*d**6. Let o(a) = 0. What is a?
-1, -1/4, 1
Factor -10/7*x**3 + 10/7*x - 16/7*x**2 + 16/7.
-2*(x - 1)*(x + 1)*(5*x + 8)/7
Let v(f) be the first derivative of f**8/1176 + 2*f**7/245 + 3*f**6/140 + 17*f**2/2 - 11. Let d(a) be the second derivative of v(a). Factor d(c).
2*c**3*(c + 3)**2/7
Let q(k) be the first derivative of -4/5*k**5 + 8*k**2 + 4*k**4 - 9 - 8*k**3 - 4*k. Factor q(n).
-4*(n - 1)**4
Suppose -11*b + 9 = -10*b. Factor b*r + 15*r**3 - 132*r**2 + 157*r**2 + r.
5*r*(r + 1)*(3*r + 2)
Let y(a) be the first derivative of 5*a**5/8 + 35*a**4/12 + 11*a**3/3 + 2*a**2 - 9*a + 14. Let u(o) be the first derivative of y(o). Factor u(r).
(r + 2)*(5*r + 2)**2/2
Let j be -2*356/(-24) - -4. Let b = j + -33. Factor -b*k**2 + 0 + 0*k - 7/3*k**4 - 3*k**3.
-k**2*(k + 1)*(7*k + 2)/3
Factor 3 + 1 + 9*f - 12*f - f - 4*f**2 + 4*f**3.
4*(f - 1)**2*(f + 1)
Suppose -n - 4*x + 0*x = -58, n + 3*x - 54 = 0. Suppose 8*g**3 - 8*g**4 + 16*g + 36*g**3 - 2*g**4 - n*g**2 - 14*g**2 = 0. Calculate g.
0, 2/5, 2
Let j(b) be the third derivative of -1/2688*b**8 + 1/480*b**6 + 1/1680*b**7 - 1/192*b**4 + 0*b - 1/240*b**5 + 21*b**2 + 0 + 1/48*b**3. Factor j(q).
-(q - 1)**3*(q + 1)**2/8
Let t(r) be the third derivative of -r**7/1470 - r**6/420 + r**4/84 + r**3/42 + 316*r**2. Let t(d) = 0. Calculate d.
-1, 1
Let f(m) = -5*m**4 - 21*m**3 - 10*m**2 + 6*m. Let a(z) = -z**4 + z**3 + z**2 - z. Let g(w) = 4*a(w) + 2*f(w). Determine r so that g(r) = 0.
-2, -1, 0, 2/7
Let n = -600 - -604. Let f(s) be the third derivative of 0*s**3 - 5/112*s**8 + 0*s**n + 0*s**5 + 1/20*s**6 + 3/70*s**7 - 5*s**2 + 0 + 0*s. Factor f(u).
-3*u**3*(u - 1)*(5*u + 2)
Let r(g) = -g**3 + 5*g**2 + 6*g - 16. Let v be r(5). Solve -9*o + 5*o**2 + v*o + 0*o = 0.
-1, 0
Let o(s) be the second derivative of s**6/15 - 7*s**5/10 - 17*s**4/6 - 3*s**3 - 394*s. Suppose o(h) = 0. What is h?
-1, 0, 9
Let i = -14 + 13. Let q = i - -5. Factor b**5 - b - b - q*b**2 + 2*b**4 - 2*b - 2*b**3 + 2 + 5*b.
(b - 1)**2*(b + 1)**2*(b + 2)
Suppose u + 9*k - 2 = 4*k, u - 3*k - 18 = 0. Let l be (-3 - (-39)/u)*2. Let -1/2*m**2 - l*m + 0 = 0. Calculate m.
-1, 0
Let w(v) be the third derivative of 0 - 4/315*v**5 + 0*v - 4/63*v**4 + 40*v**2 - 1/2205*v**7 + 0*v**3 + 1/180*v**6. Factor w(a).
-2*a*(a - 4)**2*(a + 1)/21
Let z(h) be the second derivative of h**5/180 + 23*h**4/108 - 25*h**3/27 + h - 94. Let z(j) = 0. What is j?
-25, 0, 2
Let s be 2/8 - ((-119)/(-28) - 7). Let t(f) be the first derivative of -1/36*f**6 - 1/4*f**2 + 1/3*f - 8 - 1/9*f**s + 1/6*f**4 + 0*f**5. Factor t(o).
-(o - 1)**3*(o + 1)*(o + 2)/6
Let y(n) be the third derivative of -n**5/20 - 7*n**4/8 - 5*n**3 - 3*n**2 + 14. Factor y(o).
-3*(o + 2)*(o + 5)
Let k(y) be the second derivative of y**4/4 + 13*y**3/2 + 18*y**2 - 22*y + 3. Factor k(o).
3*(o + 1)*(o + 12)
Suppose 4*n + 3*i - 18 = 0, -4*n + 5*i - 8 = -7*n. Factor -n*s**2 + 2*s**2 - 15*s - 36 + 39*s.
-4*(s - 3)**2
Let j = -1339 - -1341. Factor 3/7*m**j - 1/7*m**4 + 1/7*m - 1/7*m**3 - 2/7.
-(m - 1)**2*(m + 1)*(m + 2)/7
Factor 2/5*w**3 - 28/5*w + 2*w**2 + 0.
2*w*(w - 2)*(w + 7)/5
Let u = 31 + -28. Let v be (3 - (0 + u))/((-6)/(-3)). Let 1/2*m**4 + 1/2*m**3 + v + 0*m + 0*m**2 = 0. Calculate m.
-1, 0
Suppose t + 3 = -3*b, 0 = 3*t - 4*b + 2*b - 24. Factor -5*x**4 + 2*x**4 + 6*x**3 + x**2 + t*x**2 + 2*x**2.
-3*x**2*(x - 3)*(x + 1)
Suppose -9 = -2*i + 4*w - 3*w, -5 = w. Suppose i*z - 6 = -2. Factor -2*u**3 + 5*u**z - 2 - 5 + 2*u + 3 - u**2.
-2*(u - 2)*(u - 1)*(u + 1)
Suppose 3*t - 1 = -2*x + 12, -t + 1 = -x. Suppose 3*k + 5*p - 21 = 0, -x = 2*k - 3*p + p. Solve 16/7*b**3 - 15/7*b - 24/7*b**k - 2/7 = 0 for b.
-1/4, 2
Let w be (-14)/(-28)*(-2)/(-5). Suppose 0*h**2 + w*h - 1/5*h**3 + 0 = 0. Calculate h.
-1, 0, 1
Let x(m) be the third derivative of -169*m**8/2352 - 221*m**7/1470 - m**6/15 - m**5/105 - 47*m**2. Factor x(p).
-p**2*(p + 1)*(13*p + 2)**2/7
Let w(v) = 550*v**3 - 370*v**2 - 1350*v - 395. Let k(j) = -61*j**3 + 41*j**2 + 150*j + 44. Let m(a) = 35*k(a) + 4*w(a). Factor m(s).
5*(s - 2)*(s + 1)*(13*s + 4)
Let q(y) be the first derivative of -y**3/24 + 29*y**2/16 + 44. Factor q(j).
-j*(j - 29)/8
Let c(m) = -3*m - 12. Let i be c(0). Let g be (30/i - -2)*-4. Determine b, given that 0 + 6/7*b**4 + 18/7*b**5 - 10/7*b**3 + 0*b + 2/7*b**g = 0.
-1, 0, 1/3
Suppose -42 = 4*v - 54. Let c(j) be the first derivative of j + 2 + 1/9*j**v + 2/3*j**2. Factor c(t).
(t + 1)*(t + 3)/3
Let o(x) = x**3 + 9*x**2 - 3*x - 11. Let k(q) = -2*q**3 - 17*q**2 + 7*q + 22. Let c(z) = 6*k(z) + 15*o(z). Factor c(h).
3*(h - 1)*(h + 1)*(h + 11)
Solve -306*w - 253/2*w**2 - 162 - 1/2*w**4 + 17*w**3 = 0 for w.
-1, 18
Suppose 5*c + 25 = 5*l, -3*l + c - 38 = -47. Find i, given that -159/2*i + 9 - 621/2*i**3 + 339/2*i**4 + 483/2*i**l - 30*i**5 = 0.
1/4, 2/5, 1, 3
Determine v so that 18150 + 220*v + 2/3*v**2 = 0.
-165
Let z(d) = 2*d**3 - d**2 - d + 1. Suppose -l - 4 = -1. Let p(y) = y + 2*y**3 - y**3 + 72 - 2*y - 71. Let g(f) = l*p(f) + 3*z(f). Factor g(t).
3*t**2*(t - 1)
Let i = 45 + -39. Let x(v) be the first derivative of 20/3*v**3 - 33/2*v**4 - v**2 - 3 + 16*v**5 + 0*v - 16/3*v**i. Solve x(z) = 0 for z.
0, 1/4, 1
Let y = -1/153 + 467/1224. Factor -1/4 - 1/8*p**2 + y*p.
-(p - 2)*(p - 1)/8
Let i(y) = -5*y - 2. Let l be i(-7). Suppose 0 = 3*u + o - l + 8, u - 5 = -o. Factor 17*j**2 - 6*j