or n(i).
5*(i - 1)*(i + 1)**2*(i + 36)
Suppose 5*q - 14 = -x, 0 = -q - x + 3*x + 5. Let p be (-24)/60*(-10)/q. Factor -p*v**2 + 0 + 1/3*v.
-v*(4*v - 1)/3
Let t(m) be the second derivative of -m**4/30 + m**3/3 - 6*m**2/5 - 11*m + 4. Factor t(l).
-2*(l - 3)*(l - 2)/5
Let g(b) = -b + 2. Let k be g(2). Suppose 2*o = -k*o + 80. Factor -1 - 4 - 45*y**2 - 10*y + o*y**2.
-5*(y + 1)**2
Let p = 3967/3 + -1321. Let j(f) be the first derivative of 0*f**2 + 10 + p*f**3 - 4*f. Factor j(q).
4*(q - 1)*(q + 1)
Let p(z) be the second derivative of z**6/30 + z**5/2 + 4*z**2 - 4*z. Let i(s) = 3*s**3 + 3. Let u(c) = 8*i(c) - 3*p(c). Let u(g) = 0. Calculate g.
-2, 0
Let q be 4/(-13) - (-604)/1963. Factor 12/5*i - 3/5*i**2 + q.
-3*i*(i - 4)/5
Determine a, given that 2*a**2 + 2/11*a**5 - 2/11*a**3 + 8/11 - 24/11*a - 6/11*a**4 = 0.
-2, 1, 2
Let u(c) be the second derivative of -c**4/4 - 2*c**3 + 15*c**2/2 - 143*c. Factor u(s).
-3*(s - 1)*(s + 5)
Let -3*j**2 - 6 + 21/2*j - 3/2*j**3 = 0. What is j?
-4, 1
Let u = 6997/418 - 312/19. Let j = u + -3/44. Factor -1/4*q**2 - j*q + 0.
-q*(q + 1)/4
Let k(a) = a**3 - a**2 - a - 2. Let z(u) = 44*u**3 - 169*u**2 + 96*u + 32. Let s(f) = k(f) + z(f). Factor s(d).
5*(d - 3)*(d - 1)*(9*d + 2)
Let u be (30/(-24)*(-2 + -2))/1. Let w(i) be the third derivative of 0 + 0*i - 1/120*i**6 + 0*i**3 - 1/12*i**4 + 10*i**2 - 1/20*i**u. Factor w(o).
-o*(o + 1)*(o + 2)
Let b be (-40)/(-16) - (-1)/2. Factor -v**2 + b - 5 - 4*v + 0 - 2.
-(v + 2)**2
Let h = -2846 - -65464/23. Solve 24/23*x + 2/23*x**3 - 2/23*x**5 - 22/23*x**2 + h*x**4 - 8/23 = 0 for x.
-2, 1, 2
Suppose 10 + 95 + 366*q**2 - 361*q**2 + 2*q + 48*q = 0. What is q?
-7, -3
Find b such that 220/9*b + 6050/9 + 2/9*b**2 = 0.
-55
Factor 9*k + 0 - 3/2*k**3 - 15/2*k**2.
-3*k*(k - 1)*(k + 6)/2
Let d(z) be the second derivative of 0*z**4 - 8/3*z**3 + 3/5*z**5 + 0 + 2/15*z**6 - 9*z + 0*z**2. Factor d(y).
4*y*(y - 1)*(y + 2)**2
Solve -30*j - 5/2 - 90*j**2 = 0 for j.
-1/6
Let t(d) be the third derivative of d**8/336 + d**7/42 + d**6/40 - 17*d**5/60 - 7*d**4/6 - 2*d**3 - 74*d**2. Find g, given that t(g) = 0.
-3, -2, -1, 2
Factor 54 - 50 + 17*i**3 - 21*i**3 - 12*i + 12*i**2.
-4*(i - 1)**3
Determine m so that 65*m**4 - 113*m**4 - 48*m**3 - 8*m**3 + 48*m**2 + 4*m**5 + 52*m = 0.
-1, 0, 1, 13
Let s(q) be the third derivative of q**8/80640 + q**7/10080 + q**6/2880 + 19*q**5/30 + 20*q**2. Let d(a) be the third derivative of s(a). Solve d(v) = 0 for v.
-1
Let o(z) = -z**2 - 9*z + 7. Let q be o(-8). Let a be (-1*1)/(q/(-30)). Factor 2*w**2 + 4*w**2 + 4*w**a + 2*w**5 - 4*w - 6*w**3 - 2*w**4.
2*w*(w - 1)**3*(w + 2)
Let c(q) be the third derivative of 0*q - 7/45*q**5 + 1/9*q**4 + 2/45*q**6 + 0 + 2/9*q**3 + 7*q**2. Factor c(h).
4*(h - 1)**2*(4*h + 1)/3
Let b(u) be the second derivative of 1/35*u**5 + 28*u + 2/7*u**3 + 0 + 2/7*u**2 + 1/7*u**4. Factor b(q).
4*(q + 1)**3/7
Suppose 12 = -4*b + 44. What is n in -14*n**5 + b*n**2 - 4*n**5 - 74*n**3 + n - 5*n + 22*n**2 + 66*n**4 = 0?
0, 1/3, 1, 2
Let m(o) = 14 - 2 - 5 + 2*o**2 + 11 - 18*o. Let k be m(8). Factor -1/2*r**k - 1 + 3/2*r.
-(r - 2)*(r - 1)/2
Let x(q) be the second derivative of q**6/10 - 21*q**5/10 + 53*q**4/4 - 38*q**3 + 54*q**2 - 86*q. Solve x(b) = 0 for b.
1, 2, 9
Let h(x) be the second derivative of -1/20*x**5 - 1/30*x**6 + 0 + 0*x**2 - 1/168*x**7 + 0*x**3 - 18*x + 0*x**4. Determine g so that h(g) = 0.
-2, 0
Let n = 2182/663 + -110/39. Solve n*l + 6/17 + 2/17*l**2 = 0 for l.
-3, -1
Let j = -17 + -169. Let x = 189 + j. Factor -1/2*y**2 + 2 - 1/2*y**x + 2*y.
-(y - 2)*(y + 1)*(y + 2)/2
Let b(y) be the first derivative of 16 - 2/27*y**3 + 2/9*y**2 - 2/9*y. Factor b(g).
-2*(g - 1)**2/9
Suppose -2*a + 0*a + 16*a = 0. Let w(u) be the third derivative of 1/200*u**6 + 7*u**2 + 0*u**4 + a + 0*u**5 + 0*u + 1/350*u**7 + 0*u**3. Factor w(r).
3*r**3*(r + 1)/5
What is y in 3/2 - 3*y**3 + 11/2*y**2 + 10*y = 0?
-1, -1/6, 3
Let j be 4/((-24)/(-15))*-6. Let o be (j/(-6) - 2)*0. Solve -3/2*x + 3*x**2 + o - 3/2*x**3 = 0.
0, 1
Let r be (-2)/(-9*2/(-36) - (-11)/(-10)). Let -r*h - 1/3*h**2 - 3 = 0. Calculate h.
-9, -1
Let z = 82 - 79. Factor 4*j**2 - z*j + 41*j**3 - 3 - 42*j**3 + 3.
-j*(j - 3)*(j - 1)
Let g = 21 - 15. Let y = -21 - -28. Solve -h**3 - h + 3*h**3 - h - g + y - h**4 = 0.
-1, 1
Factor -74/5*p**3 - 360*p**2 - 1/5*p**4 - 2750*p + 3125.
-(p - 1)*(p + 25)**3/5
Suppose -26 = -2*j - 20. Suppose 0*m - 237 = -5*q + m, -q - j*m = -41. Solve -26*s - 21*s - 2*s**3 + q*s - 2*s**5 - 4*s**4 = 0 for s.
-1, 0
Suppose 2*l = -3*j + l + 20, -4*l = 4. Let a(b) be the third derivative of 4*b**2 - 1/60*b**6 + 0 + 0*b + 0*b**4 + 1/210*b**j + 1/60*b**5 + 0*b**3. Factor a(f).
f**2*(f - 1)**2
Factor -38*h**3 + 55*h**2 - 25*h**3 + 20 + 60*h + 78*h**3.
5*(h + 1)*(h + 2)*(3*h + 2)
Let i(j) be the second derivative of 0*j**2 - 4/3*j**3 + 7/3*j**4 - 19*j + 2/3*j**6 - 2/21*j**7 + 0 - 9/5*j**5. Factor i(q).
-4*q*(q - 2)*(q - 1)**3
Let z(o) = o**5 - o**4 + o**2 - o - 1. Let r(m) = -12*m**5 + 8*m**4 + 9*m**3 + 12*m**2 - 13*m - 25. Let v(t) = -2*r(t) - 22*z(t). What is c in v(c) = 0?
-3, -1, 2
Let s = 17 + -14. Solve n**s - 2*n**4 + 0 - 2*n + 6 - 8 + 4*n**2 - 2*n**5 + 3*n**3 = 0.
-1, 1
Let q = 829/4 - 207. Let x(r) be the first derivative of 1/5*r**5 + 4 + 0*r**2 - 1/3*r**3 + q*r**4 + 0*r - 1/6*r**6. Determine d, given that x(d) = 0.
-1, 0, 1
Suppose 36 = -0*r + 9*r. Let b(l) be the first derivative of 0*l**2 - 3/5*l**5 - 3/2*l**r - l**3 + 0*l + 2. Let b(d) = 0. Calculate d.
-1, 0
Suppose 0 = 2*y - 6*y - 2*q + 18, 2*y - q = -1. Suppose 3*o - p = -o + 7, 0 = 4*o + y*p - 10. Factor -3*a - 2*a**o - 4*a - 2 + 3*a + 0*a.
-2*(a + 1)**2
Suppose 2*z - 6*z + 9*z = 0. Let h be (z + 1)/((-11)/22 - -1). Find n, given that -2/5*n + 2/5*n**h - 4/5 = 0.
-1, 2
Let k(d) = 2*d**4 - 12*d**3 - 22*d**2 + 18*d + 32. Let l(h) = -3*h**4 + 26*h**3 + 43*h**2 - 37*h - 62. Let f(q) = -11*k(q) - 6*l(q). Factor f(a).
-4*(a - 1)*(a + 1)**2*(a + 5)
Let k(l) be the second derivative of 0*l**2 - 5/12*l**4 - 5/6*l**3 - 4*l + 0. Factor k(q).
-5*q*(q + 1)
Let f = 114/13 + -453/65. Determine a so that 0 - 7/5*a**3 - 2/5*a + f*a**2 = 0.
0, 2/7, 1
Determine v so that 33*v**5 - 13461*v + 13333*v + 400*v**2 - 148*v**4 - 144*v**3 - 13*v**5 = 0.
-2, 0, 2/5, 1, 8
Let p = 1 + 2. Suppose -p = 4*u - 23. Factor -2/9*c**4 + 2/9*c**2 - 2/9*c**3 + 2/9*c**u + 0 + 0*c.
2*c**2*(c - 1)**2*(c + 1)/9
Factor 35/2 - 5/2*h**2 + 10*h**3 - 25*h.
5*(h - 1)**2*(4*h + 7)/2
Let t be (-2)/4 + (-273)/(-338). Let l be (-1068)/(-117) - 8 - 2/3. Factor -l*i - 2/13 - t*i**2.
-2*(i + 1)*(2*i + 1)/13
Find f, given that -1/7*f**4 + 12/7 - 25/7*f + 13/7*f**2 + 1/7*f**3 = 0.
-4, 1, 3
Let v(w) be the first derivative of w**6/1980 - w**5/660 - w**4/66 + 3*w**3 - 7. Let h(p) be the third derivative of v(p). Find f such that h(f) = 0.
-1, 2
Let a(u) = 3*u**3 - 57*u**2 + 357*u - 762. Let v(j) = -j - 2. Let h(k) = a(k) - 3*v(k). Factor h(f).
3*(f - 7)*(f - 6)**2
Let l(t) be the third derivative of -2*t**7/525 + 79*t**6/600 + 2*t**5/25 - 79*t**4/120 - 2*t**3/3 + 90*t**2. Find n, given that l(n) = 0.
-1, -1/4, 1, 20
Let c(u) be the third derivative of -u**6/160 - u**5/16 - u**4/8 - 595*u**2. Let c(m) = 0. Calculate m.
-4, -1, 0
Let o = -4 - -8. Determine p, given that -2*p**3 + 3*p**o - 3*p**3 - p**3 = 0.
0, 2
Determine n, given that 2*n**3 - 20*n - 40 + 40*n**2 + 3*n**3 + 16*n**2 - 46*n**2 = 0.
-2, 2
Let -24/5*g**2 + 0*g + 2*g**3 + 2/5*g**5 + 12/5*g**4 + 0 = 0. Calculate g.
-4, -3, 0, 1
Let z(a) be the third derivative of 0 - 12*a**2 + 1/70*a**7 + 0*a**6 - 1/10*a**5 + 0*a + 0*a**4 + 1/2*a**3. Factor z(c).
3*(c - 1)**2*(c + 1)**2
Let c be 3*(-4)/78 + 3008/3328. Factor c*r**2 + 9/4*r + 0.
3*r*(r + 3)/4
Let m = 2121 - 10603/5. Factor -1/10*g**3 + 1/5 + m*g**2 - 1/2*g.
-(g - 2)*(g - 1)**2/10
Let b(l) be the third derivative of -l**7/1260 + l**6/360 + l**5/30 + l**4 + l**2. Let i(w) be the second derivative of b(w). Factor i(k).
-2*(k - 2)*(k + 1)
Let i = 31 - 29. Suppose 2 = 3*a - y, a + 2*y - 3*y - i = 0. Factor l**2 + 3*l - l**4 - 3*l + a*l.
-l**2*(l - 1)*(l + 1)
Let q(o) be the third derivative of 1/540*o**6 - 1/108*o**4 + 0*o + 0 - 33*o**2 - 1/27*o**3 + 1/270*o**5. What is k in q(k) = 0?
-1, 1
Let o be (-93)/156 + 2 + 65/(-52). Factor 6/13*v - 18/13 + 10/13*v**2 + o*v**3.
2*(v - 1)*