 -356/5*b**2 + 80 + 2/5*b**5 + 278/5*b**3 - 56*b - 44/5*b**4 = 0.
-1, 1, 2, 10
Suppose 11 = 3*g + 5. Factor -2 - 2*j**2 + 4*j**3 - 3*j - 3*j**3 + g*j**3 - 4*j.
(j - 2)*(j + 1)*(3*j + 1)
Let i(c) be the second derivative of 2/9*c**2 - 1/90*c**5 - 5/27*c**3 - 6*c + 0 + 2/27*c**4. Find s such that i(s) = 0.
1, 2
Let v(j) be the first derivative of 125*j**4/22 + 350*j**3/11 + 735*j**2/11 + 686*j/11 - 72. Find q, given that v(q) = 0.
-7/5
Let n(u) = -13*u**2 - 3*u - 5. Let i(b) be the second derivative of -b**4/2 - b**3/3 - b**2 - 4*b + 1. Let w(x) = -5*i(x) + 2*n(x). Let w(r) = 0. What is r?
-1, 0
Let x(o) be the first derivative of 2*o**6/27 - 14*o**5/45 + o**4/6 - 40. What is h in x(h) = 0?
0, 1/2, 3
Let m(z) be the second derivative of z**7/42 - 7*z**6/10 + 137*z**5/20 - 93*z**4/4 + 27*z**3 - 13*z + 1. Suppose m(d) = 0. What is d?
0, 1, 2, 9
Factor -74*k + 6*k**2 + 30 + 198*k + 2*k**3 - 7 + 24*k**2 + 73.
2*(k + 1)*(k + 6)*(k + 8)
Let p(r) be the first derivative of r**8/224 + r**7/70 - r**5/20 - r**4/16 - 5*r**2/2 + 24. Let w(j) be the second derivative of p(j). Factor w(n).
3*n*(n - 1)*(n + 1)**3/2
Let l(n) be the first derivative of n**3 - 48*n + 460. Factor l(m).
3*(m - 4)*(m + 4)
Suppose -3*w = n - 7, 2*w + 5*n = -3*w + 15. Solve 8/5*r + 2/5*r**w + 6/5 = 0.
-3, -1
Let p = -6 - -11. Let g(z) = 7*z**4 - 7*z**3 - 6*z. Let u(y) = -6*y**4 + 6*y**3 + 78*y - 160*y + 87*y. Let j(s) = p*g(s) + 6*u(s). Determine l so that j(l) = 0.
0, 1
Let v(z) = -z**2 - 144*z + 747. Let p be v(5). Factor 2/3*k**p - 2*k + 4/3.
2*(k - 2)*(k - 1)/3
Let g(b) = 36*b**2 - 14*b - 39. Let y(a) = 7*a**2 - 3*a - 8. Suppose 3*i - 9*i + 66 = 0. Let v(n) = i*y(n) - 2*g(n). Factor v(q).
5*(q - 2)*(q + 1)
Let b = 499/2 - 246. Let y = 4 - b. Factor -3/4*s**3 + 0 - y*s + 5/4*s**2.
-s*(s - 1)*(3*s - 2)/4
Let b(o) be the first derivative of -14*o**3/9 - 23*o**2/9 - 4*o/9 - 782. Factor b(r).
-2*(r + 1)*(21*r + 2)/9
Let i(z) be the second derivative of 3*z**5/20 + z**4 + 5*z**3/2 + 3*z**2 + 18*z + 2. Factor i(r).
3*(r + 1)**2*(r + 2)
Factor -33/7*i + 0 + 19/7*i**2 + 13/7*i**3 + 1/7*i**4.
i*(i - 1)*(i + 3)*(i + 11)/7
Let d be 5/1 - 6/2. Suppose 59*r**2 - 134*r**2 + 63*r**d - 9*r = 0. What is r?
-3/4, 0
Let -2/3 - 1/3*k**2 - 70/3*k**3 + 13/3*k = 0. Calculate k.
-1/2, 1/5, 2/7
Let z(h) be the third derivative of h**5/300 - 13*h**4/60 - 106*h**2 + 2*h. Let z(k) = 0. What is k?
0, 26
Let d(p) be the third derivative of -p**8/2688 + p**6/480 - p**4/192 - 22*p**2. Factor d(u).
-u*(u - 1)**2*(u + 1)**2/8
Let g be 85/102*4/15. Let -g*q**2 - 2/9 - 4/9*q = 0. What is q?
-1
Factor 3 - 5*s**2 + 15*s**3 - 14*s + 0 + 2 - s.
5*(s - 1)*(s + 1)*(3*s - 1)
Factor -4/3*r**3 + 252*r**2 + 333396 - 15876*r.
-4*(r - 63)**3/3
Solve 16*b**2 + 0 - 47/4*b**3 - 13/4*b - b**4 = 0.
-13, 0, 1/4, 1
Let t(h) be the third derivative of 1/300*h**5 - 1/840*h**8 + 0*h + 0 - 1/120*h**4 - 1/1050*h**7 - 15*h**2 + 1/200*h**6 + 0*h**3. Find w such that t(w) = 0.
-1, 0, 1/2, 1
Suppose -4*h + 38 = -2*s, 7*s + 68 = 4*h + 11*s. Factor -h*o**4 + 4*o**3 - 4*o + 20*o**4 - 6*o**4 - o**2 - o**2.
2*o*(o - 1)*(o + 1)*(o + 2)
Let q(u) be the first derivative of 9 - 4*u + 1/21*u**3 + 1/42*u**4 - 1/70*u**5 - 1/7*u**2. Let l(t) be the first derivative of q(t). Let l(p) = 0. What is p?
-1, 1
Let q = -8647/4 - -43239/20. Factor -q*z + 0 + 2/5*z**2 - 1/5*z**3.
-z*(z - 1)**2/5
Let b(t) = 9*t**5 + 13*t**4 - 25*t**3 - 29*t**2 - 5*t - 5. Let j(k) = 4*k**5 + 6*k**4 - 12*k**3 - 14*k**2 - 2*k - 2. Let y(v) = -2*b(v) + 5*j(v). Factor y(f).
2*f**2*(f - 2)*(f + 1)*(f + 3)
Let j(s) be the first derivative of -1/2*s - 1/6*s**3 - 1/2*s**2 + 9. Find k, given that j(k) = 0.
-1
Suppose 3*z + 35 - 2 = 0. Let o = -8 - z. Factor 3*s**2 - 9*s**2 + 6*s - 2 + 4*s**o + 4*s**3 - 6*s**3.
2*(s - 1)**3
Let f = 75 + -72. Factor 24*i**2 - f*i**3 + 12*i + 9*i**3 + 3*i**4 + 9*i**3.
3*i*(i + 1)*(i + 2)**2
Factor -18 - 367 - 110 - 85*j**2 - 3*j**3 - 2*j**3 - 375*j.
-5*(j + 3)**2*(j + 11)
Let r be (-124)/(-6) - (-4)/(-6). Factor -5*w + 20*w + 0*w**2 + 5*w**2 - r.
5*(w - 1)*(w + 4)
Let m(p) be the first derivative of -p**7/1050 - p**6/300 + p**5/75 + p**4/60 - p**3/10 + p**2/2 + 10. Let g(z) be the second derivative of m(z). Factor g(x).
-(x - 1)**2*(x + 1)*(x + 3)/5
Let t(v) be the second derivative of -288*v**5/55 - 8*v**4 + 47*v**3/33 - v**2/11 + 35*v - 7. Factor t(b).
-2*(b + 1)*(24*b - 1)**2/11
Suppose -3*h + 5 = -4, 0 = b - 4*h + 9. Suppose b*g = -3*i - 3, 3*i - g = g + 12. Let -4*m**2 + 2*m**4 + 2*m + 17*m**5 - 19*m**5 + i*m**4 = 0. What is m?
-1, 0, 1
Let i(t) = -t + 11. Let d be i(9). Let l(p) = p**4 - 16*p**3 + 7*p + 17. Let a(q) = -4*q**3 + 2*q + 4. Let n(x) = d*l(x) - 9*a(x). Factor n(b).
2*(b - 1)*(b + 1)**3
Let p = 78 + -73. Let f be (-2)/(-40)*p + (-14)/(-8). Determine s so that -4/11*s**f + 2/11 + 2/11*s**4 + 0*s**3 + 0*s = 0.
-1, 1
Let n(c) be the first derivative of c**6/9 - 13*c**5/30 + 5*c**4/12 + 4*c**3/9 - 7*c**2/6 + 5*c/6 - 45. Find q such that n(q) = 0.
-1, 1, 5/4
Let i(d) be the second derivative of d**4/4 + 26*d**3 + 1014*d**2 - 78*d. Solve i(u) = 0 for u.
-26
Let g be (-4*5/180)/((-1)/411). Let j = g - 45. Solve 0*p**2 - 2/3*p + 0 + 0*p**4 + 4/3*p**3 - j*p**5 = 0 for p.
-1, 0, 1
Let j(l) = -l**3 + l**2 - 1. Let n(h) = 5*h**3 - 2*h**2 - 9*h - 4. Suppose -14*x + 3*x = 22. Let c(p) = x*j(p) - n(p). Let c(r) = 0. What is r?
-1, 2
Let v(y) be the first derivative of y**4/6 - 38*y**3/9 + 30*y**2 + 233. Factor v(z).
2*z*(z - 10)*(z - 9)/3
Let x(q) be the third derivative of -2/3*q**3 + 6*q**2 + 1/60*q**6 + 0 + 1/15*q**5 - 1/12*q**4 + 0*q. Let x(i) = 0. What is i?
-2, -1, 1
Let f be 0 - (2 + -11 + -2). Let k be 26/143 + 20/f. What is a in -4*a**2 + a**2 - k*a + 0*a = 0?
-2/3, 0
Solve -1/2*h**2 + 1/2*h**3 + 0 + 1/2*h**4 - 1/2*h = 0 for h.
-1, 0, 1
Let r = -245879/451906 + 463/338. Let k = r - -6/191. Factor k - 3/7*q**2 - 3/7*q.
-3*(q - 1)*(q + 2)/7
Let i(n) be the first derivative of -n**4 - 92*n**3/3 - 44*n**2 - 665. Factor i(c).
-4*c*(c + 1)*(c + 22)
Suppose 0 = 3*a - 5*o - 24, -a + 4*o - 2*o = -9. Suppose -a - 9 = -4*h. Find x, given that 2*x - x - 2*x**h + 0*x - 3*x**4 + 6*x**2 - 3 + x**5 = 0.
-1, 1, 3
Factor 8/3*k**4 + 4/9*k**5 + 56/9*k**3 + 8/9 + 4*k + 64/9*k**2.
4*(k + 1)**4*(k + 2)/9
Let g be (-8 + -19)*5/(35*-3). Factor 0 + 3*a**4 + 9/7*a**5 - 6/7*a + 9/7*a**3 - g*a**2.
3*a*(a + 1)**3*(3*a - 2)/7
Let w be (-1541)/(-299) + (-16)/104. Factor 0*g + 0*g**2 + 0 - 4/5*g**3 + 4/5*g**w + 0*g**4.
4*g**3*(g - 1)*(g + 1)/5
Let s(t) be the second derivative of -t**5/60 - 5*t**4/12 + t**3/18 + 5*t**2/2 + 677*t. Factor s(x).
-(x - 1)*(x + 1)*(x + 15)/3
Let j(z) be the third derivative of z**6/216 + z**5/4 + 45*z**4/8 + 23*z**3/6 + z**2. Let u(x) be the first derivative of j(x). Factor u(c).
5*(c + 9)**2/3
Suppose -4*t - 4*i + 18 = -2*t, -6 = -2*i. Factor 5*k**t + 3*k**3 - 2*k**3 - 11*k**3.
-5*k**3
Let g(r) be the second derivative of -r**4/72 + 65*r**3/6 - 12675*r**2/4 + 291*r. Suppose g(j) = 0. What is j?
195
Let x(c) be the second derivative of 0 + 0*c**3 + 1/360*c**6 - 1/60*c**5 + 3/2*c**2 - 3*c + 1/36*c**4. Let h(r) be the first derivative of x(r). Factor h(i).
i*(i - 2)*(i - 1)/3
Let l(y) be the first derivative of 11 + 0*y + 2/27*y**3 - 1/9*y**2. Factor l(n).
2*n*(n - 1)/9
Solve -2/7*p**2 + 0 - 2*p = 0 for p.
-7, 0
Determine a, given that 96*a**2 + 16*a**3 + 4*a**5 - 20*a - 211*a**2 + 91*a**2 + 24*a**4 = 0.
-5, -1, 0, 1
Let i(s) be the first derivative of s**6/80 - s**5/40 - s**4/8 - 8*s**2 + 18. Let x(w) be the second derivative of i(w). What is r in x(r) = 0?
-1, 0, 2
Let w(x) be the second derivative of x**4/20 - 81*x**3/10 - 123*x**2/5 - 13*x - 10. Let w(n) = 0. What is n?
-1, 82
Let u = -30 + 34. Suppose -4*d**4 + 4*d - d**u + 10*d**2 + 0*d**4 + d - 5 + 5*d**5 - 10*d**3 = 0. What is d?
-1, 1
Let j(i) be the third derivative of -i**5/45 - 11*i**4/18 + 8*i**3/3 - i**2 + 1. Find u such that j(u) = 0.
-12, 1
Let d = 51 + -46. What is j in -2*j**d + 19*j**3 - 5*j**3 + 4*j**4 - 7*j**3 - 9*j**3 = 0?
0, 1
Let y(g) be the first derivative of 4*g**3/3 - g**2 - 7*g + 13. Let p(m) = -3*m**2 + m + 8. Let k(q) = -5*p(q) - 6*y(q). Factor k(s).
-(s - 1)*(9*s + 2)
Factor -53000*g - 3060*g**2 - 2/5*g**4 - 50000 - 302/5*g**3.
-2*(g + 1)*(g + 50)**3/5
Let w(f) be the thi