) = -107*f**4 - 2094*f**3 - 1609*f**2 - 306*f - 7. Let t(r) = 3*b(r) - 7*z(r). Factor t(n).
2*n*(n + 20)*(5*n + 2)**2
Let n(d) = d**3 - 12*d**2 - 63*d + 6. Let a be n(-4). Factor -6 - 1/6*w**2 + a*w.
-(w - 6)**2/6
Let s(l) be the third derivative of l**7/1785 - l**5/255 + l**3/51 + 240*l**2. Factor s(d).
2*(d - 1)**2*(d + 1)**2/17
Let b(l) be the second derivative of -l**6/20 + 9*l**5/40 - 54*l. Factor b(a).
-3*a**3*(a - 3)/2
Let y(b) be the third derivative of b**8/1344 - b**6/48 + b**5/12 - 5*b**4/32 + b**3/6 + 34*b**2 + 2. Suppose y(w) = 0. Calculate w.
-4, 1
Let q = -463/10 + 3269/30. What is h in 376/3*h**2 - 120*h**4 - 80*h + q*h**3 + 32/3 + 100/3*h**5 = 0?
-1, 1/5, 2/5, 2
Factor -103*q**2 + 36*q**2 + 58*q + 62*q**2 + 24.
-(q - 12)*(5*q + 2)
Factor 0 + 0*v**2 + 7/3*v**4 + 1/3*v**5 + 10/3*v**3 + 0*v.
v**3*(v + 2)*(v + 5)/3
Let j(d) be the third derivative of 0*d - 1/18*d**3 - 1/36*d**6 + 19*d**2 - 1/12*d**4 - 1/15*d**5 - 1/210*d**7 + 0. Let j(s) = 0. Calculate s.
-1, -1/3
Let k(l) be the second derivative of 4/7*l**2 + 0 + 1/35*l**5 + 2*l - 2/21*l**3 - 2/21*l**4. Factor k(f).
4*(f - 2)*(f - 1)*(f + 1)/7
Let b = -103 + 107. Solve 16*c**3 - 8 - 20*c - 8*c**2 + 10*c**4 - 1275*c**5 + 1279*c**5 + 6*c**b = 0 for c.
-2, -1, 1
Let s be (0 + 2*1)/((-48240)/(-268)). Let x(d) be the second derivative of 5*d + s*d**6 + 0 + 0*d**2 + 0*d**4 + 0*d**3 - 1/60*d**5. Let x(i) = 0. What is i?
0, 1
Let q be (-42)/(-98)*84/108. Factor -1/3*h**3 + 0*h + 0 + 0*h**2 + q*h**4.
h**3*(h - 1)/3
Let o(c) = 9*c**5 - 4*c**4 - 21*c**3 - 4*c**2 + 20*c + 4. Let x(n) = n**5 - n**4 + n**3 - n**2 + 1. Let b(q) = o(q) - 4*x(q). Solve b(r) = 0.
-2, -1, 0, 1, 2
Let z(q) be the third derivative of -q**5/180 + 55*q**4/36 - 3025*q**3/18 + q**2 - 64. Suppose z(y) = 0. Calculate y.
55
Let u(d) be the first derivative of d**5 + 15*d**4/2 + 55*d**3/3 + 15*d**2 - 25. Factor u(n).
5*n*(n + 1)*(n + 2)*(n + 3)
Let q be 114/(-9) - 4/(-6). Let r = -9 - q. Let -46*g + 19*g - 9*g**2 - 27 - 3*g**3 + 2*g**r = 0. What is g?
-3
Let y be 4 + -3 + -1 - -3. Factor 10*p - 9*p**2 - y*p**3 + 6*p**3 - 4*p.
3*p*(p - 2)*(p - 1)
Let q(f) be the second derivative of -65*f**4/3 - 61*f**3/6 + f**2/2 + 3*f - 42. Factor q(d).
-(4*d + 1)*(65*d - 1)
Determine r so that -1/5*r**3 - 33/5*r**2 - 1331/5 - 363/5*r = 0.
-11
Factor 7/3*l**2 + 0 - 1/3*l**3 + 6*l.
-l*(l - 9)*(l + 2)/3
Let r(l) be the third derivative of -l**7/1050 - 23*l**6/200 - 77*l**5/20 + 245*l**4/24 - 31*l**2. Factor r(u).
-u*(u - 1)*(u + 35)**2/5
Let p(d) be the third derivative of 0*d**4 + 1/1260*d**6 + 0*d**3 + 0 + 15*d**2 + 0*d + 1/315*d**5. Suppose p(s) = 0. What is s?
-2, 0
Let i(c) be the first derivative of -10/3*c**3 + 6*c + 3 + c**4 - 4*c**2. What is y in i(y) = 0?
-1, 1/2, 3
Let t be (4/32)/((-45)/(-1620)). Let y(w) be the first derivative of 9/4*w**2 - 8 + 1/2*w**3 + t*w + 1/24*w**4. Factor y(i).
(i + 3)**3/6
Let f(v) be the third derivative of -v**6/140 + 2*v**5/21 - 29*v**4/84 - 4*v**3/7 - 270*v**2. Solve f(s) = 0.
-1/3, 3, 4
Let l(h) = -h**2 - h - 1. Let j(p) = 10*p**2 + 19*p + 13. Let r(v) = -9*v**2 - 18*v - 13. Let x(o) = 2*j(o) + 3*r(o). Let y(w) = -4*l(w) + x(w). Factor y(t).
-3*(t + 1)*(t + 3)
Suppose 0 = 4*c + 5*y + 12, -4*y - 30 = -5*c + y. Let 10/9*h**2 - 2*h + c*h**3 + 4/9 - 14/9*h**4 = 0. What is h?
-1, 2/7, 1
Let i(g) be the third derivative of -g**8/141120 - g**7/35280 + g**5/30 + 6*g**2. Let u(p) be the third derivative of i(p). Factor u(s).
-s*(s + 1)/7
Let g(b) be the second derivative of 1/8*b**3 + 1/4*b**2 - 1/120*b**6 - 1/48*b**4 - 12*b + 0 - 3/80*b**5. Find o such that g(o) = 0.
-2, -1, 1
Let s(a) be the second derivative of -a**7/7 + 56*a**6/15 - 251*a**5/10 + 67*a**4 - 148*a**3/3 - 104*a**2 - 860*a. Suppose s(b) = 0. What is b?
-1/3, 2, 13
Let n(o) be the first derivative of 22*o**3/3 + 3*o**2 - 16*o - 895. Factor n(x).
2*(x + 1)*(11*x - 8)
Suppose -b + 25 = 5*t, -2*b = -5*t + 15 + 10. Suppose 19 - 4 = t*x + 3*r, 5*r = 0. Find w, given that 2/5*w**2 + 0*w + 6/5*w**x - 6/5*w**5 - 2/5*w**4 + 0 = 0.
-1, -1/3, 0, 1
Let p be (-30)/40 + 4*2/4. Let t(f) be the first derivative of -p*f**4 + 4/5*f**5 - 1/6*f**6 + 4 + 0*f**2 + 2/3*f**3 + 0*f. Determine y so that t(y) = 0.
0, 1, 2
Factor -h + 3*h - 50*h**3 - 6*h + 54*h**3 + 16 - 16*h**2.
4*(h - 4)*(h - 1)*(h + 1)
Let d(c) = -2*c**2 - 24*c - 36. Suppose -b - 5 = -7. Let g(j) = 1. Let t(r) = r**2 + 6. Let z(v) = 6*g(v) - t(v). Let x(i) = b*z(i) + d(i). Factor x(f).
-4*(f + 3)**2
Suppose z - 4*v = 19, -7*z - 4*v - 4 = -3*z. Factor -2*o**z + 9 - 3*o**4 - 10*o**2 + 24*o + 2*o**3 + 28*o**2.
-3*(o - 3)*(o + 1)**3
Let p(f) be the third derivative of 1/50*f**5 + 9*f**2 + 1/60*f**4 + 0 - 1/300*f**6 + 0*f - 1/5*f**3. Find y such that p(y) = 0.
-1, 1, 3
What is g in -60*g - 1586*g**3 - 24*g**2 - 32 - 1589*g**3 + 3179*g**3 = 0?
-1, 8
Factor -48/7 + 10/7*a**2 + 4/7*a - 2/7*a**3.
-2*(a - 4)*(a - 3)*(a + 2)/7
Let r(b) = 93*b**2 + 4785*b + 145173. Let y(t) = -7*t**2 - 368*t - 11167. Let k(i) = -2*r(i) - 27*y(i). Find g such that k(g) = 0.
-61
Let s(f) be the second derivative of -f**7/14 + f**6/5 + 3*f**5/10 - f**4 - f**3/2 + 3*f**2 + 2*f - 18. Solve s(l) = 0 for l.
-1, 1, 2
Let c be (2 - (-62)/(-26))*8/(-4). Determine r, given that -8/13*r**3 + c*r - 8/13*r**4 + 4/13 - 2/13*r**5 + 4/13*r**2 = 0.
-2, -1, 1
Let j be (-2)/(-7) - (4 - (-120)/(-21)). Factor -43*g**3 + 12*g**4 - 4*g**3 + g**j + 8*g**3 + 8*g**2.
3*g**2*(g - 3)*(4*g - 1)
Let f(m) = -20*m**2 - 136*m - 28. Let s(p) = 3*p**2 + 19*p + 4. Let g(k) = 6*f(k) + 44*s(k). Find w such that g(w) = 0.
-1, -2/3
Let p be (-1)/2 + (11 - (-273)/(-28)). Let c(t) be the first derivative of 0*t - p*t**2 - 4 + 6/5*t**5 + 0*t**4 - 3/2*t**3. Factor c(q).
3*q*(q - 1)*(2*q + 1)**2/2
Let c = 765 + -9185/12. Let o = c - -7/4. Let 0*g**4 + 0*g**2 + 0 - 2/3*g**5 + o*g**3 - 2/3*g = 0. Calculate g.
-1, 0, 1
Let n(r) = r**2 + 4*r - 3. Let v be n(-4). Let g be (-1)/(-3)*v + 3. Factor 8*h - 2*h - 6*h - h**3 - 2*h**g.
-h**2*(h + 2)
Let r be -2 - -24 - (2 - 6). Determine u so that 5 + r*u - 5*u**3 + 22*u - 43*u - 5*u**2 = 0.
-1, 1
Let w(n) be the third derivative of n**6/60 + 7*n**5/15 + 10*n**4/3 + 62*n**2. Factor w(s).
2*s*(s + 4)*(s + 10)
Factor 9/4*y - 2*y**2 + 9/2 + 1/4*y**3.
(y - 6)*(y - 3)*(y + 1)/4
Let f(b) be the second derivative of -b**5/300 - b**4/60 + 4*b**3/15 - 8*b**2 + 40*b. Let y(t) be the first derivative of f(t). Suppose y(j) = 0. Calculate j.
-4, 2
Let s(z) be the third derivative of z**7/1155 + z**6/165 + z**5/66 + z**4/66 - 8*z**2 - 2. Determine l, given that s(l) = 0.
-2, -1, 0
Let p(s) be the first derivative of -2/9*s**3 + 8 - 4/3*s + s**2. Factor p(m).
-2*(m - 2)*(m - 1)/3
Factor -165*f**2 + 2682*f**4 - 50*f + 170*f**3 - 2702*f**4 - 35*f**3.
-5*f*(f - 5)*(f - 2)*(4*f + 1)
Let m be (-8 - -9)/(1/6). Suppose -m*r = -11*r. Solve 1/3*c**2 - 2/3*c + r = 0 for c.
0, 2
Let o(u) = u**4 + u - 2. Let p(j) = 32*j**4 + 28*j**3 + 14*j**2 + 18*j - 44. Let m(a) = -44*o(a) + 2*p(a). Solve m(t) = 0.
-2, -1, 0, 1/5
Let l(q) be the second derivative of 1/15*q**3 - 1/10*q**2 + 2*q + 0 - 1/60*q**4. Factor l(a).
-(a - 1)**2/5
Let v(h) be the third derivative of -2*h**7/525 - 2*h**6/75 + h**5/75 + 2*h**4/15 - h**2 + 139*h. Determine d so that v(d) = 0.
-4, -1, 0, 1
Let j be (-28)/(-7) + 3/((-3)/(-128)). Let z = j - 115. Let -32/5*t - 4/5 - z*t**2 - 15*t**3 = 0. Calculate t.
-2/5, -1/3
Suppose 2*h - 2*l = 2*l + 48, -4*h - l = -60. Let q = 33 - 30. Factor -29*b**3 - 120*b - 91*b**3 - 252*b**2 + 22*b**q - h.
-2*(b + 2)*(7*b + 2)**2
Let z(q) be the third derivative of q**7/42 - q**6/4 - q**5/12 + 5*q**4/4 + 5*q**2 + 14*q. Factor z(r).
5*r*(r - 6)*(r - 1)*(r + 1)
Let a = -2 - -10. Suppose -5*l = 2*q - a, q - l = -q + 8. Factor -6/5*i + 2/5*i**q - 4/5 + 2/5*i**2 + 6/5*i**3.
2*(i - 1)*(i + 1)**2*(i + 2)/5
Let j(n) be the first derivative of 0*n - 2/3*n**6 - 12/5*n**5 - 4 - 4/3*n**3 + 0*n**2 - 3*n**4. Factor j(w).
-4*w**2*(w + 1)**3
Let v = 494/861 + -2/861. Factor 16/21 - 2/21*p**3 + v*p**2 - 8/7*p.
-2*(p - 2)**3/21
Let p(b) be the second derivative of 4/45*b**6 + 0 + 4/3*b**2 + 1/9*b**3 - 44*b + 1/63*b**7 - 1/15*b**5 - 4/9*b**4. Find o, given that p(o) = 0.
-4, -1, 1
Suppose 0 = 7*f - 9*f + 4. Suppose -f*v = -v - 4. Factor 4*r**5 + 12*r**4 + r**3 + r**5 - 2*r**2 - 4*r