m(j) be the second derivative of j**4/114 + 10*j**3/57 + 16*j**2/19 + 21*j + 3. Factor m(i).
2*(i + 2)*(i + 8)/19
Find a, given that 30*a**2 + 405*a**3 - 93*a**2 - 839*a**3 + 422*a**3 - 18 - 87*a = 0.
-3, -2, -1/4
Let o(t) be the first derivative of t**6/18 - 11*t**4/12 - 2*t**3 - 4*t**2/3 + 29. Find l, given that o(l) = 0.
-2, -1, 0, 4
Let r = 36/205 - 6898/41615. Let a = r - -1011/406. Factor n**2 + 1 - a*n.
(n - 2)*(2*n - 1)/2
Factor 512*i + 0 + 1600/3*i**2 + 194/9*i**3 + 2/9*i**4.
2*i*(i + 1)*(i + 48)**2/9
Factor 220*a - 4*a**3 - 38 + 150 + 45*a**2 + 84*a**2 + 4*a**2 - 29*a**2.
-4*(a - 28)*(a + 1)**2
Factor -44/9*u**2 - 2/9*u**3 + 0 + 0*u.
-2*u**2*(u + 22)/9
Solve 64*l - 6144 - 1/6*l**2 = 0 for l.
192
Let n(l) be the second derivative of -l**6/1080 - l**5/180 + 4*l**3/3 - 2*l. Let a(p) be the second derivative of n(p). Factor a(s).
-s*(s + 2)/3
Suppose -215*r + 360 = -125*r. Suppose 0*v + 0 + 54*v**5 + 6*v**2 + 171/2*v**r + 42*v**3 = 0. Calculate v.
-2/3, -1/4, 0
Let d be 4796/1716 + (-2 - -1). Let h = d + -6/13. Find w such that 8/3 - 16/3*w**2 - 4*w**3 + h*w = 0.
-1, 2/3
Let s(h) be the first derivative of -7 - 5/3*h**3 + 0*h - 15/2*h**2. Solve s(c) = 0.
-3, 0
Suppose -11*r = -16*r. Let n(z) be the second derivative of -7*z + 1/3*z**6 - 1/3*z**3 + 0 - 1/12*z**4 + 11/20*z**5 + r*z**2. Factor n(s).
s*(s + 1)*(2*s + 1)*(5*s - 2)
Let j(b) be the first derivative of 0*b**2 - 1/12*b**3 + 1/4*b + 45. Let j(l) = 0. Calculate l.
-1, 1
Let j(r) = -6*r**4 + 52*r**3 - 74*r**2 + 14*r + 12. Let c(i) = -i**4 + i**3 + 2*i - 1. Let u(y) = 4*c(y) + 2*j(y). Suppose u(v) = 0. What is v?
-1/4, 1, 5
Let w(v) be the second derivative of -v**4/24 - 73*v**3/12 + 37*v**2/2 + 374*v. Factor w(m).
-(m - 1)*(m + 74)/2
Let v(g) = -3*g**2 + 3*g + 2. Let t(i) = 2*i**2 + 14*i + 11. Let y(r) = r**2 + 9*r + 7. Let l(q) = -5*t(q) + 8*y(q). Let h(o) = -4*l(o) + 3*v(o). Factor h(x).
-(x - 2)*(x + 1)
Determine j, given that -j**2 - 7 + 6*j**2 - 13 + 0*j**2 = 0.
-2, 2
Suppose 631 = 169*l + 124. Factor 0*w**2 + 2/13 + 4/13*w - 4/13*w**l - 2/13*w**4.
-2*(w - 1)*(w + 1)**3/13
Let h(t) be the first derivative of 4*t**5/35 + 15*t**4/7 + 64*t**3/7 - 128*t**2/7 - 92. Determine c, given that h(c) = 0.
-8, 0, 1
Let h(a) be the first derivative of 2*a**3/21 - 9*a**2/7 - 44*a/7 - 249. Factor h(f).
2*(f - 11)*(f + 2)/7
Let p(g) be the third derivative of 0*g**3 + 1/24*g**6 + 0*g**5 + 0 + 0*g - 5/24*g**4 - 11*g**2. Suppose p(a) = 0. Calculate a.
-1, 0, 1
Let h(p) be the first derivative of -p**6/600 + p**4/30 - 11*p**2 + 13. Let j(y) be the second derivative of h(y). Factor j(q).
-q*(q - 2)*(q + 2)/5
Let l(m) be the second derivative of -405/2*m**4 - 27 + 9*m**5 + 2430*m**3 - 32805/2*m**2 - 1/6*m**6 + 2*m. Solve l(g) = 0 for g.
9
Determine n, given that -162*n**2 - 96*n - 154*n**2 - 2*n**3 + 308*n**2 + 6*n**3 = 0.
-4, 0, 6
Let s(g) be the first derivative of -g**5/20 + 11*g**4/16 + 25*g**3/12 + 13*g**2/8 + 467. Factor s(c).
-c*(c - 13)*(c + 1)**2/4
Suppose -15 = 6*p - 9*p. Let v be -4 + (p - (1 + -2)). Find o such that 0*o**4 + v + 4*o**2 + 0 - 2*o**4 - 4 = 0.
-1, 1
Let w(j) be the second derivative of -j**4/2 + 194*j**3/3 + 65*j**2 - 199*j. Suppose w(n) = 0. What is n?
-1/3, 65
Let d(l) = 10*l**2 - 15*l - 20. Let h(i) = -i**3 + 14*i**2 - 23*i - 30. Let s(v) = -8*d(v) + 5*h(v). Factor s(c).
-5*(c - 1)*(c + 1)*(c + 2)
Let k(d) be the second derivative of d**6/20 - 3*d**5/5 + 7*d**4/8 - 2*d - 262. Suppose k(u) = 0. What is u?
0, 1, 7
Let p(k) = -6*k**3 + 68*k**2 - 4*k. Let i(v) = 14*v**3 - 136*v**2 + 10*v. Let x(f) = -2*i(f) - 5*p(f). Factor x(r).
2*r**2*(r - 34)
Let w(k) = -k**5 + k**4 - k**3 - k**2 + 2*k - 1. Let p(o) = -14*o**5 + 10*o**4 - 6*o**3 - 2*o**2 + 28*o - 12. Let h(u) = -p(u) + 12*w(u). Factor h(f).
2*f*(f - 2)*(f + 1)**3
Find a, given that 23/2*a - 11/2*a**2 - 35/6 - 1/6*a**3 = 0.
-35, 1
Let z(i) = i - 6. Let p be z(8). Factor 4*g**2 - 5*g + 11*g - p*g**2.
2*g*(g + 3)
Let s(u) = -u**2 + 2*u + 9. Let n be s(5). Let g be 3/4*((-498)/(-27) + n). Factor 8 - g*p**2 - 76/3*p.
-4*(p + 3)*(7*p - 2)/3
Let x(v) be the first derivative of 2*v**3/3 - 64*v**2 + 2048*v + 39. Solve x(u) = 0 for u.
32
Let d(u) be the third derivative of -u**5/20 + 3*u**4/8 + 14*u**3 + 351*u**2. Factor d(m).
-3*(m - 7)*(m + 4)
Let q(w) be the second derivative of -w**4/6 - 5*w**3 - 26*w**2 - 2*w - 58. Factor q(p).
-2*(p + 2)*(p + 13)
Solve -1/2*h**3 + 0 - 26*h - 17/2*h**2 = 0 for h.
-13, -4, 0
Let s(w) = w**2 - 3 - w + w**3 + 3 + 0*w**3. Let p(x) = 7*x**3 + 10*x**2 - 4*x. Let y(b) = -p(b) + 4*s(b). Factor y(d).
-3*d**2*(d + 2)
Let x = 24 + -20. Let j(d) = -d**4 + 4*d**3 - 3*d - 3. Let m(h) = -4*h**3 + 2*h + 2. Let z(u) = x*j(u) + 6*m(u). Find f such that z(f) = 0.
-2, 0
Let f(n) be the third derivative of n**5/300 - 3*n**4/20 - 19*n**3/30 - 36*n**2 - 2*n. Factor f(g).
(g - 19)*(g + 1)/5
Let b(d) be the third derivative of d**8/2016 - d**7/140 + d**6/30 - 2*d**5/45 - 103*d**2. Factor b(j).
j**2*(j - 4)**2*(j - 1)/6
Suppose 111*v - 110*v - 4*l = -2, -2*l = 3*v - 8. Factor 14/3*k**v - 32/3 - 16/3*k - 2/3*k**3.
-2*(k - 4)**2*(k + 1)/3
Let x(v) = -2*v**2 - 50*v - 45. Let m(f) = -2*f**2 - 52*f - 46. Let c(h) = -3*m(h) + 4*x(h). Factor c(u).
-2*(u + 1)*(u + 21)
Let l(i) = i + 17. Let x be l(-14). Let d be 12/75*15/x. Factor d*z**2 - 4/5 + 6/5*z**3 - 6/5*z.
2*(z - 1)*(z + 1)*(3*z + 2)/5
Let w(z) = -z**4 + z**3 + z**2. Let u(t) = -11*t**4 - 7*t**3 - 17*t**2 - 12*t. Let f(l) = 2*u(l) - 18*w(l). Factor f(o).
-4*o*(o + 1)**2*(o + 6)
Let m(i) = 3*i**5 - 22*i**4 + 25*i**3 + 56*i**2 - 55*i - 65. Let o(t) = t**5 - 2*t**4 - t**3 + t - 1. Let n(a) = m(a) - o(a). Determine v, given that n(v) = 0.
-1, 2, 8
Let z be 0*4/(-12) + 10. Let s = 13 - z. Factor s*j**2 + 16 + 15 + 18*j - 4.
3*(j + 3)**2
Suppose o - 9 = -8. Let i be 65/20 - o/4. Factor 1/2*v**i + 0*v + 0 + 0*v**2.
v**3/2
Let d be ((-5)/20)/(1/(-16)). Let o(k) be the third derivative of -k**d + 0 - 39/100*k**5 + 3*k**2 - 6/5*k**3 - 9/200*k**6 + 0*k. Factor o(j).
-3*(j + 3)*(3*j + 2)**2/5
Let q(p) be the third derivative of -p**5/15 - 11*p**4/2 + 140*p**3/3 + 409*p**2. Let q(s) = 0. What is s?
-35, 2
Let s be (700/160 + -5)*(-8)/10. Determine w, given that 5/2 + 2*w - s*w**2 = 0.
-1, 5
Determine s so that 6*s**4 - 114*s**4 - 120*s**3 - 26*s**2 - 20*s**5 - 6*s**2 = 0.
-4, -1, -2/5, 0
Suppose -8 + 25 = 22*r - 27. Let -12/7*y - 24/7*y**r - 16/7*y**3 - 2/7 = 0. Calculate y.
-1/2
Let d be 2*(-2 - -1) - (-9 - -3). Suppose -d*x = 2 - 10. Determine v, given that -12/5*v + 12/5 - 9/5*v**x = 0.
-2, 2/3
Let p(l) be the first derivative of -8*l**6/9 + 8*l**5/3 + 21*l**4/4 - 134*l**3/9 + 53*l**2/6 - 2*l + 251. Solve p(u) = 0.
-2, 1/4, 1, 3
Let j be (8 - (-6 - 248/(-16)))/(-12). Factor -3/8*i + j + 1/4*i**2 + 1/8*i**5 + 1/4*i**3 - 3/8*i**4.
(i - 1)**4*(i + 1)/8
Let f(p) = -3*p**2 - 13*p - 4. Let u be f(-4). Find v, given that 0 - 1/2*v**2 + 1/2*v**4 - 1/4*v**5 + u*v**3 + 1/4*v = 0.
-1, 0, 1
Let n(z) = z**2 - 9*z + 4. Let d be n(9). Find s such that 5*s**d + 2*s**5 + 18*s + 0*s**4 + 48*s**2 + 11*s**4 + 44*s**3 = 0.
-3, -1, 0
Let i be (-3)/9 - (-91)/21. Suppose -i*r - 10 = -2*z - 2*r, -z = 5*r + 13. Solve -1/5*p**z - 1/5*p**3 + 1/5*p + 1/5 = 0.
-1, 1
Let h = 7 - 2. Factor -15*s - 2*s**3 - 13*s**2 - s**3 - h*s**2.
-3*s*(s + 1)*(s + 5)
Suppose -1 = 2*d + 23. Let p = 14 + d. What is m in 6*m - m - 6 + 4*m - 3*m**p = 0?
1, 2
Let y be (3/(-8))/(1*63/(-28)). Let w(f) be the third derivative of -49/120*f**6 + 0 + 7/15*f**5 + 0*f**3 - 3*f**2 - y*f**4 + 0*f. Factor w(n).
-n*(7*n - 2)**2
Let a(l) be the third derivative of -l**8/1680 - l**7/210 + l**6/18 - 13*l**4/24 + 5*l**2. Let q(k) be the second derivative of a(k). Factor q(z).
-4*z*(z - 2)*(z + 5)
Suppose 2*s + 35*s = -12*s. Let z(m) = m**3 + 2*m**2 - 5*m - 4. Let f be z(-3). Solve -2/7*k**f + s - 4/7*k = 0.
-2, 0
Let r = 97/330 - 7/55. Let o(g) be the first derivative of -r*g**3 - 3/2*g**2 - 1 - 9/2*g. Solve o(l) = 0.
-3
Factor 4*q**2 + 66*q + 0*q**2 - 56*q + 30*q.
4*q*(q + 10)
Factor 12 + 3 - 328*l**2 + 158*l**2 + 175*l**2 + 20*l.
5*(l + 1)*(l + 3)
Let c(l) be the third derivative of -l**5/50 + 3*l**4/20 - 2*l**3/5 + 58*l**2. Factor c(w).
-6*(w - 2)*(w - 1)/5
Let z(p) be the third derivative of p**6/40 - 3*p**5/4 + 7*p**4/4 + 2*p**2 + 5. Fac