*l - 14. Let t(d) = -1 - 3*d + d**2 + 366*d**4 + 2*d + d**3 - 365*d**4. Let n(s) = -3*g(s) + 24*t(s). Factor n(h).
-3*(h - 3)*(h + 1)**2*(h + 2)
Suppose 3*n + 3 = 0, 2*o - 2*n + 5 = 11. Suppose -2*b = 4*l - 14, -2*b - o*b - 5 = -3*l. Factor 26*p + 3*p**4 - 146*p**2 - 8*p + 179*p**2 + 18*p**l.
3*p*(p + 1)*(p + 2)*(p + 3)
Factor 273 - 1/3*c**2 + 90*c.
-(c - 273)*(c + 3)/3
Factor -166/7*f + 96/7 + 10/7*f**2.
2*(f - 16)*(5*f - 3)/7
Find s such that -122/3*s**2 - 68*s**3 + 90*s + 24 - 16/3*s**4 = 0.
-12, -3/2, -1/4, 1
Let h(w) be the first derivative of w**5/110 + 12*w + 149. Let u(k) be the first derivative of h(k). Solve u(q) = 0.
0
Let a(x) be the first derivative of -25*x**2/2 + 3*x + 75. Let i be a(0). Let -20/3*m + 40/3 - 5/6*m**i - 35/6*m**2 = 0. What is m?
-4, 1
Let o(w) be the third derivative of 4/35*w**7 + 0*w**5 + 12*w**2 + 1 + 1/84*w**8 + 0*w**4 - 7/30*w**6 + 0*w + 0*w**3. Find g such that o(g) = 0.
-7, 0, 1
Let m(p) = -p**3 + p + 2. Let s be m(-1). Let y = -2/4671 - -23363/18684. Factor y*k**s + 125/4 - 25/2*k.
5*(k - 5)**2/4
Let z(v) be the second derivative of -v**8/30240 - 2*v**7/2835 - 7*v**6/3240 + 145*v**4/12 + 50*v - 2. Let k(m) be the third derivative of z(m). Factor k(f).
-2*f*(f + 1)*(f + 7)/9
Let o(h) = -7*h**3 - 17*h**2 - 10*h + 2. Let w(a) = 38*a**3 + 84*a**2 + 46*a - 11. Let q(i) = 33*o(i) + 6*w(i). Let q(j) = 0. Calculate j.
-18, -1, 0
Factor 40 - 35 - 7*k**2 + 10*k + 65 + 5*k**2 + 2.
-2*(k - 9)*(k + 4)
Let g be (-4)/(-5*1 + (-117)/(-27)). Suppose 59 = -g*w + 71. Let -1/3*d + 1/6*d**w + 1/6 = 0. Calculate d.
1
Suppose -120 = 52*r - 108*r + 104. Let -1/4*u**r + 5/4*u + 1 - 5/4*u**3 - 3/4*u**2 = 0. Calculate u.
-4, -1, 1
Let c(o) be the third derivative of -o**6/30 - 64*o**5/15 - 1085*o**4/6 - 3844*o**3/3 - 5590*o**2. Factor c(r).
-4*(r + 2)*(r + 31)**2
Let m(q) be the third derivative of 0*q + 0*q**3 + 2/3*q**4 + 4/45*q**5 + 0 - 78*q**2 + 1/270*q**6. Factor m(j).
4*j*(j + 6)**2/9
Let c = -7123 + 13657. Find y such that 20 + y**2 - 2*y**2 - 6526*y + c*y = 0.
-2, 10
What is m in 2/13*m**2 + 22/13*m - 420/13 = 0?
-21, 10
Let c(y) be the first derivative of -80*y**3/21 - 43*y**2/7 - 6*y/7 + 3069. Let c(r) = 0. Calculate r.
-1, -3/40
Let w(y) = 2*y**4 + 6*y**3 + 2. Let s(t) = t**3 + 7*t**2 + 3*t + 23. Let b be s(-7). Let k(l) = -5*l**4 - 19*l**3 - 7. Let a(i) = b*k(i) + 7*w(i). Factor a(j).
4*j**3*(j + 1)
Factor -2737*g - 1007*g**2 + 1097*g + g**4 + 208*g - 6050 - 27*g**3 - 5597*g.
(g - 50)*(g + 1)*(g + 11)**2
Let q(i) be the first derivative of -5*i**5 - 335*i**4/4 - 130*i**3/3 + 2786. Factor q(r).
-5*r**2*(r + 13)*(5*r + 2)
Let 4/3*d**4 - 484/3*d**3 + 2500/3*d - 2020/3*d**2 + 0 = 0. What is d?
-5, 0, 1, 125
Let g(y) = -y**3 - 2*y**2 - 3. Let a(x) = -4*x**3 - 20*x**2 - x - 5. Let u(z) = -3*a(z) + 15*g(z). Factor u(q).
-3*(q - 10)*(q - 1)*(q + 1)
Let f(y) be the second derivative of -2/3*y**3 + 0*y**2 + 1/30*y**5 - 57*y - 5/18*y**4 + 0. Factor f(o).
2*o*(o - 6)*(o + 1)/3
Factor 4/3*o**3 - 452/3*o - 320 - 32/3*o**2.
4*(o - 16)*(o + 3)*(o + 5)/3
Let y(u) be the third derivative of -u**8/840 + u**6/75 - u**5/75 - u**4/20 + 2*u**3/15 + 1086*u**2. Find c such that y(c) = 0.
-2, -1, 1
Suppose 167*z = -15*z. Let s(u) be the second derivative of -3/25*u**6 - 21/50*u**5 - 10*u - 1/105*u**7 + z - 2/5*u**3 - 19/30*u**4 + 0*u**2. Factor s(c).
-2*c*(c + 1)**3*(c + 6)/5
Let l = 22/12541 - -49966/112869. Factor 4096/9 + 256/9*q + l*q**2.
4*(q + 32)**2/9
Let n = -3259/18 - -1633/9. Let k(w) be the second derivative of -5/36*w**4 - 1/60*w**5 - n*w**3 + 0 - 1/2*w**2 + 14*w. Factor k(b).
-(b + 1)**2*(b + 3)/3
Let p(h) = 31*h**3 - 481*h**2 - 1931*h - 1452. Let w(b) = 3*b**3 + b**2 + b. Let q(g) = 2*p(g) - 22*w(g). Let q(a) = 0. What is a?
-242, -3, -1
Let f(a) be the third derivative of a**6/1020 + 191*a**5/255 + 9215*a**4/51 + 72200*a**3/51 - 21*a**2 + 10. Factor f(g).
2*(g + 2)*(g + 190)**2/17
Let y be (735843/(-1220))/((-3)/(-4)). Let g = y - -805. Factor -4/5*w**2 + 0*w + 0 - g*w**3.
-4*w**2*(w + 1)/5
Let x(z) be the second derivative of -1/24*z**3 + 12*z + 0 - 1/96*z**4 + 0*z**2. Let x(h) = 0. Calculate h.
-2, 0
Let j(g) = -3*g**4 - g**3 + g - 2. Let i(d) = 16*d**4 + 6*d**3 - 2*d**2 - 5*d + 10. Let l(v) = -i(v) - 5*j(v). Factor l(a).
-a**2*(a - 1)*(a + 2)
Let l(h) be the first derivative of 1/14*h**3 + 0*h**2 + 1/21*h**4 + 21*h + 1/140*h**5 + 17. Let y(g) be the first derivative of l(g). Factor y(n).
n*(n + 1)*(n + 3)/7
Determine l so that 16/5*l - 1/5*l**4 + 0 - 16/5*l**3 + 1/5*l**2 = 0.
-16, -1, 0, 1
Let h(j) = -2*j**3 - 158*j**2 - 678*j - 675. Let v(q) = -2*q**3 - 154*q**2 - 676*q - 674. Let s(t) = 6*h(t) - 5*v(t). Factor s(y).
-2*(y + 2)**2*(y + 85)
Let h(i) be the first derivative of -i**4/24 + 7*i**3/2 - 41*i**2/4 + 61*i/6 - 2440. Factor h(r).
-(r - 61)*(r - 1)**2/6
Let p(v) be the third derivative of v**6/20 - 51*v**5/40 - 69*v**4/16 - 7*v**3/2 + 442*v**2 - v. Factor p(k).
3*(k - 14)*(k + 1)*(4*k + 1)/2
Let b(z) be the third derivative of -z**8/5880 - z**7/980 - 9*z**3 + 134*z**2. Let o(w) be the first derivative of b(w). Find v, given that o(v) = 0.
-3, 0
Determine j so that 337014 - 948*j + 2/3*j**2 = 0.
711
Factor 4/3*u**2 + 280/3*u - 608.
4*(u - 6)*(u + 76)/3
Suppose -5*r = 4*q - 34, -124 = q - 130. Let z(g) be the third derivative of 2/3*g**4 + 0*g - 8/3*g**3 - 21*g**r + 0 - 1/15*g**5. Let z(o) = 0. Calculate o.
2
Let s be (-5 + -1)*4/8*-1. Let g be (3 + (-14)/s)*(-3 + 0). Factor 5*p**g - 2*p**3 - 4*p**5 - 5*p + 6*p.
p*(p - 1)**2*(p + 1)**2
Suppose 0 = -327*s - 165 + 819. Factor 4/3 - 74/3*f + 74/3*f**3 - 4/3*f**s.
2*(f - 1)*(f + 1)*(37*f - 2)/3
Let r(n) be the third derivative of n**5/12 + 355*n**4/8 - 535*n**3/3 + 319*n**2. Find y, given that r(y) = 0.
-214, 1
Let o(r) be the second derivative of 2*r**7/21 + 994*r**6/15 + 61003*r**5/5 - 186001*r**4/3 + 374000*r**3/3 - 125000*r**2 + 1422*r. Solve o(j) = 0 for j.
-250, 1
Let j(f) be the second derivative of f**6/40 + 87*f**5/80 + 275*f**4/16 + 847*f**3/8 - 3*f + 35. Factor j(v).
3*v*(v + 7)*(v + 11)**2/4
Suppose 0 = -2*t - 4*r - 6, 3*r - 7*r = 4*t. Let v be ((-27)/72 + 9/24)/t. Factor 24/7*b - 3/7*b**5 - 18/7*b**3 + v + 15/7*b**4 - 12/7*b**2.
-3*b*(b - 2)**3*(b + 1)/7
Let r be (0 - ((-6)/(-10) + (-798)/(-570)))*(-39)/26. Find x such that 0 + 3*x - 33/4*x**2 - 3/4*x**4 - 3/4*x**5 + 27/4*x**r = 0.
-4, 0, 1
Let l = 1579/1940 + -27/1940. Find g, given that -28/5 - 24/5*g + l*g**2 = 0.
-1, 7
Let t be 164/83 - 7232/(-300128). Factor -3*p - 3/8*p**t - 45/8.
-3*(p + 3)*(p + 5)/8
Let k(p) be the second derivative of -14*p - 1/30*p**4 - 21/5*p**2 - 2 + 2/3*p**3. Factor k(w).
-2*(w - 7)*(w - 3)/5
Let f be 4/(-5) - 1/(35/(-203)). Suppose -4*z**2 - 5*z**2 - 5 + 3*z**3 - f - 27*z - 5 = 0. Calculate z.
-1, 5
Let r(w) be the first derivative of 0*w - 141 + 1/3*w**3 - 3*w**2. What is z in r(z) = 0?
0, 6
Let v(n) be the third derivative of 0 + 2*n - 5/24*n**4 + 2/3*n**3 + 1/60*n**5 - 30*n**2. Factor v(s).
(s - 4)*(s - 1)
Let q(v) be the second derivative of 5/32*v**4 + 15*v + 1/40*v**5 - 1/4*v**2 + 0 + 1/4*v**3. Solve q(h) = 0 for h.
-2, 1/4
Solve -5*l**4 - 32 - 148 + 12*l**4 + 935*l**2 + 120*l**3 - 495*l - 40*l**4 - 47*l**4 = 0.
-3, -1/4, 3/4, 4
Let k(b) = -5*b**3 - 5059*b**2 + 10099*b - 5069. Let y(m) = m**3 + 843*m**2 - 1683*m + 845. Let w(f) = -6*k(f) - 34*y(f). Factor w(p).
-4*(p - 421)*(p - 1)**2
Let q be (6 + 926/(-2))*-2. Suppose 6*v - 914 + q = 0. Factor 3/2*a + v + 3/4*a**2.
3*a*(a + 2)/4
Let d(m) be the second derivative of m**6/15 - 13*m**5/10 - 19*m**4/2 + 149*m**3/3 - 80*m**2 + 4*m - 109. What is n in d(n) = 0?
-5, 1, 16
Let f = 1896 - 1893. Let y(q) be the first derivative of 1/6*q**2 + 2/3*q - 9 - 2/9*q**f - 1/12*q**4. Let y(r) = 0. Calculate r.
-2, -1, 1
Let t(v) = 2*v - 15*v**2 + v + 16*v**2 - 2. Let p be t(-4). Determine i so that -7 + 4*i**4 - 1 - 12*i + 2*i**2 + 12*i**3 + p*i**2 = 0.
-2, -1, 1
Let g(x) be the third derivative of 0 - 88*x**2 + 0*x**3 + 0*x - 1/10*x**5 + 7/40*x**6 + 2/35*x**7 + 0*x**4. Find w, given that g(w) = 0.
-2, 0, 1/4
Let b(o) be the second derivative of 1/4*o**4 + 0*o**2 + 22*o - 1/2*o**3 + 2. Factor b(y).
3*y*(y - 1)
Let y = -20/29 + 523/464. Let q = -45/176 + y. Factor -24/11*z + 72/11 + q*z**2.
2*(z - 6)**2/11
Suppose 5*p = v + 5 + 18, -3*p - 4*