ive of -r**5/5 + 2*r**4/3 - 2*r**3/3 + 8*r. Factor g(f).
-4*f*(f - 1)**2
Let g(f) be the first derivative of f**6/480 + f**5/240 - f**2/2 + 3. Let q(x) be the second derivative of g(x). Determine r so that q(r) = 0.
-1, 0
Let p(c) be the first derivative of 3*c**5/5 + 3*c**4/2 - 12*c**3 + 21*c**2 - 15*c - 28. Factor p(i).
3*(i - 1)**3*(i + 5)
Let m(c) be the third derivative of c**9/60480 - c**8/20160 - c**7/5040 + c**6/720 + c**5/30 + 3*c**2. Let i(w) be the third derivative of m(w). Factor i(h).
(h - 1)**2*(h + 1)
Let g = 1/190 - -47/95. Factor 4/3*o + g*o**2 + 2/3.
(o + 2)*(3*o + 2)/6
Let h(r) be the second derivative of 2/21*r**3 + 0 - 4*r + 0*r**2 + 1/42*r**4. Factor h(m).
2*m*(m + 2)/7
Factor -28/5*q - 8/5 - q**3 - 22/5*q**2.
-(q + 2)**2*(5*q + 2)/5
Let u(v) = 5*v**3 - 5*v**2 - 20*v + 15. Let r(x) = 1. Let o(q) = -5*r(q) - u(q). Let o(b) = 0. Calculate b.
-2, 1, 2
Let 0*m**2 + 0 - 3/2*m + 3/2*m**3 = 0. Calculate m.
-1, 0, 1
Let a(k) be the third derivative of k**7/70 - k**6/20 + k**5/20 - 8*k**2. Let a(u) = 0. What is u?
0, 1
Let x = -23 + 28. Determine a, given that 2*a**2 + 2*a**x - 2*a**4 - 3*a**5 + 5*a**3 - 4*a**3 = 0.
-2, -1, 0, 1
Let r(o) be the third derivative of -o**8/1008 - o**7/315 + o**6/360 + o**5/90 + 12*o**2. Suppose r(y) = 0. Calculate y.
-2, -1, 0, 1
Let m be (-1 + (-38)/(-30))/(68/102). Factor 0*u + m*u**2 + 0 - 2/5*u**3.
-2*u**2*(u - 1)/5
Let d(x) be the third derivative of -x**8/21 - 2*x**7/15 + x**6/15 + 8*x**5/15 + x**4/3 - 2*x**3/3 + x**2. Solve d(q) = 0.
-1, 1/4, 1
Let r(g) be the third derivative of g**5/150 + g**4/60 + g**2. Determine t, given that r(t) = 0.
-1, 0
Let s(j) be the first derivative of j**5/25 - 3*j**4/20 + 2*j**3/15 + 24. Solve s(y) = 0 for y.
0, 1, 2
Let r = -1017 + 13227/13. Solve r*h**4 + 2/13*h**5 + 2/13*h**2 + 0 + 6/13*h**3 + 0*h = 0.
-1, 0
Let u = -3 + 9. Let i be ((-3)/3)/(-3)*u. Find s such that -4/5*s + 2/5 + 2/5*s**i = 0.
1
Let m be (-49)/7*8/(-14) + -4. Let a(d) be the first derivative of -1/18*d**6 + 1 - 4/9*d**3 + 0*d + 1/5*d**5 + 0*d**2 + m*d**4. Factor a(q).
-q**2*(q - 2)**2*(q + 1)/3
Suppose 5*p + 0*p = 15. Factor -z**4 + 8*z**2 - 3*z**4 - 4*z**3 - 3*z**4 + p*z**4.
-4*z**2*(z - 1)*(z + 2)
Let g(f) be the first derivative of f**4/16 + 11. Factor g(s).
s**3/4
Let h = -210 - -210. Determine s, given that -2/9*s**2 + h + 0*s = 0.
0
Let t(a) = 4*a**3 - 2*a. Let c(q) = q + 5*q**2 - 3*q**2 - q**4 - q**2. Let f(y) = -2*c(y) + t(y). Factor f(s).
2*s*(s - 1)*(s + 1)*(s + 2)
Suppose 0 = -2*t + 7*t. Let y(o) = o + 2. Let d be y(t). Suppose 4*h - d*h**4 + 3*h + 2*h + 2*h**2 - 4*h**3 - 5*h = 0. What is h?
-2, -1, 0, 1
Let p(y) be the second derivative of -y**7/840 + y**6/360 + y**5/120 - y**4/24 - y**3/6 - y. Let t(k) be the second derivative of p(k). Let t(m) = 0. What is m?
-1, 1
Let a(g) be the second derivative of -g**4/12 - g**3/3 - g**2/2 + 6*g. Let v(h) = -h - 1. Let s(b) = -3*a(b) - 3*v(b). Factor s(i).
3*(i + 1)*(i + 2)
Factor -8 + 22*a + 16*a**2 + 19*a - 13*a.
4*(a + 2)*(4*a - 1)
Let z(v) be the third derivative of -v**6/6 - 17*v**5/15 - 8*v**4/3 - 8*v**3/3 - 4*v**2 + 12*v. Let z(o) = 0. What is o?
-2, -1, -2/5
Suppose 3*a + a - 36 = 0. Factor 9*h**3 + 18 + 24*h**2 + 0*h - 24 + a*h.
3*(h + 1)*(h + 2)*(3*h - 1)
Let w(i) be the third derivative of i**5/300 - 2*i**3/15 + 8*i**2. What is n in w(n) = 0?
-2, 2
Let x(s) be the first derivative of 2*s**6/3 - 8*s**5/25 - s**4 + 8*s**3/15 + 6. Determine c so that x(c) = 0.
-1, 0, 2/5, 1
Let j(f) = -f**4 - f**3 - f**2 - 1. Let i(w) = -9*w**4 + 12*w**3 + 21*w**2 + 12*w - 15. Let k(r) = i(r) - 15*j(r). What is o in k(o) = 0?
-2, -1/2, 0
Let f(l) be the third derivative of -l**8/192 - l**7/168 + 23*l**6/480 + 29*l**5/240 + l**4/24 - l**3/6 + 17*l**2 + 2*l. Solve f(b) = 0.
-1, 2/7, 2
Suppose 91*r = 88*r + 6. Factor 0 + 2/7*o**r + 0*o.
2*o**2/7
Let t = -1791 + 257905/144. Let k(a) be the third derivative of t*a**6 + 0*a + 1/420*a**7 + 1/360*a**5 + 0*a**3 - a**2 + 0 - 1/144*a**4. Factor k(i).
i*(i + 1)**2*(3*i - 1)/6
Determine b so that 0 + 1/5*b**2 + 2/5*b**3 + 0*b + 1/5*b**4 = 0.
-1, 0
Factor 4/5*w**2 - 4/5*w**3 - 1/5*w + 0.
-w*(2*w - 1)**2/5
Let 4/3*v**2 + 4/3 - 8/3*v = 0. What is v?
1
Let w(d) be the third derivative of d**6/160 - 7*d**5/80 + d**4/2 - 3*d**3/2 - 4*d**2. Let w(h) = 0. What is h?
2, 3
Suppose -5 = d, 0 = -f + 2*f + 2*d + 7. Let -s**2 - 3 - 4*s**2 - 6*s - s**2 + f*s**2 = 0. Calculate s.
-1
Let m = 2 + 1. Let g be ((-9)/6)/(m/(-8)). Determine s so that -7*s**5 - 5*s**4 + 9*s**3 + 2*s + 5*s**2 - g*s + 0*s**5 = 0.
-1, 0, 2/7, 1
Factor 1/7*d**4 + 0 + 0*d**2 + 1/7*d**3 + 0*d.
d**3*(d + 1)/7
Let y(s) = 12*s - 4. Let i be y(3). Let a be 8/i - 2/(-8). Suppose 3/2*b**2 + a + 2*b = 0. Calculate b.
-1, -1/3
Suppose 7*f - 19 = -5. Factor 2/7*j + 0 - 2/7*j**f.
-2*j*(j - 1)/7
Let h(c) be the third derivative of c**7/105 - c**5/30 + 2*c**2 - 7. Factor h(g).
2*g**2*(g - 1)*(g + 1)
Factor 12/5*r + 0 + 4/5*r**2.
4*r*(r + 3)/5
Let m = 179 + -179. Factor 6/5*q**2 + 6/5*q**3 + 2/5*q + m + 2/5*q**4.
2*q*(q + 1)**3/5
Determine j so that 1/4*j**4 - 1/4*j**2 + 0*j - 1/4*j**3 + 0 + 1/4*j**5 = 0.
-1, 0, 1
Let p(o) = -o**3 + 15*o**2 + 17*o - 12. Let r be p(16). Factor 6/5*x - 3/5*x**r + 0*x**2 + 3/5 - 6/5*x**3.
-3*(x - 1)*(x + 1)**3/5
Let l(o) be the third derivative of -o**7/2520 - o**6/720 + o**4/12 - 6*o**2. Let s(p) be the second derivative of l(p). Solve s(v) = 0.
-1, 0
Let g(o) be the third derivative of 0*o - 1/6*o**4 + 0 + o**2 + 2/3*o**3 + 1/60*o**5. Factor g(u).
(u - 2)**2
Let m(k) be the third derivative of k**7/1260 + k**6/135 + k**5/36 + k**4/18 + 5*k**3/6 + k**2. Let p(a) be the first derivative of m(a). Factor p(z).
2*(z + 1)**2*(z + 2)/3
Let f be ((-12)/(-21) + 0)/(13 + -11). Solve f*o - 32/7*o**2 - 30/7*o**3 + 4/7 = 0 for o.
-1, -2/5, 1/3
Suppose 4*j - 30 = -5*d, j - 21 + 6 = -5*d. Solve n**4 - 7*n**3 + 1 - 4*n**d + 7*n**3 + 2*n**2 = 0.
-1, 1
Let b(u) = 13*u**3 - 5*u**2 + u. Let o = 1 + 3. Let j(r) = 6*r**3 - 2*r**2. Let k(p) = o*b(p) - 9*j(p). Solve k(z) = 0.
-2, 0, 1
Let d(q) = q - 1. Let f(v) = v**4 + 2*v**3 - 2*v + 2. Let p(y) = 2*d(y) + f(y). Factor p(z).
z**3*(z + 2)
Let z = -77/10 + 41/5. Let z*a + 1 - 1/2*a**2 = 0. What is a?
-1, 2
Let f(u) be the third derivative of -1/6*u**3 - 2*u**2 - 1/20*u**5 - 1/6*u**4 + 0*u + 0. Factor f(k).
-(k + 1)*(3*k + 1)
Let d = -16/15 + 22/15. Let a(o) be the first derivative of 2/3*o**3 - 2 + 0*o + 1/2*o**4 - o**2 - d*o**5. What is m in a(m) = 0?
-1, 0, 1
Let b(k) = 8*k**2 - 5*k. Let f(h) = -4*h**2 + 2*h. Let j(y) = 6*b(y) + 13*f(y). What is q in j(q) = 0?
-1, 0
Let l(b) be the first derivative of 8/5*b**5 + 1/3*b**6 + 1 + 3*b**4 + 8/3*b**3 + 0*b + b**2. Factor l(s).
2*s*(s + 1)**4
Suppose -10 = 71*q - 73*q. Factor 0*a + 3/4*a**q + 0 + 9/4*a**4 + 3/4*a**2 + 9/4*a**3.
3*a**2*(a + 1)**3/4
Let p(m) be the first derivative of -m**6/15 + 6*m**5/25 + m**4/5 - 8*m**3/5 + 8*m**2/5 + 59. Determine k so that p(k) = 0.
-2, 0, 1, 2
Let y(x) be the third derivative of -x**5/12 + 5*x**4/12 - 5*x**3/6 + 13*x**2. Factor y(s).
-5*(s - 1)**2
Factor 20 + 25*s**3 + 1160*s**4 + s**5 + 5*s**2 - 1165*s**4 - 6*s**5 - 40*s.
-5*(s - 1)**3*(s + 2)**2
Let s be 10/(-6)*16/(-40). Factor 0*k**2 + 4/3*k**3 + 0*k**4 + 0 - 2/3*k - s*k**5.
-2*k*(k - 1)**2*(k + 1)**2/3
Let p(r) = 19*r**2 + 49*r**3 + 41*r + 4*r**2 + 63*r**2 + 26*r**4. Let j(w) = 5*w**4 + 10*w**3 + 17*w**2 + 8*w. Let x(i) = -11*j(i) + 2*p(i). Factor x(u).
-3*u*(u + 1)**2*(u + 2)
Factor 4*p - 3*p**4 + 7*p - 11*p.
-3*p**4
Let k(n) be the first derivative of n**6/36 + n**5/15 + n**4/24 + 6. Factor k(l).
l**3*(l + 1)**2/6
Let c(a) be the first derivative of -a**8/42 + 2*a**7/35 - a**6/240 - a**5/20 - a**4/48 + 3*a**2/2 + 1. Let h(p) be the second derivative of c(p). Factor h(w).
-w*(w - 1)**2*(4*w + 1)**2/2
Let m = -4 - -6. Determine a so that 21*a**3 - 21*a**5 + 0 + 0*a**3 + 0 - 6*a**m + 6*a**4 = 0.
-1, 0, 2/7, 1
Let c(h) = 9*h**3 + 29*h**2 - 9*h - 3. Let j(g) = -2*g**3 - 7*g**2 + 2*g + 1. Let o(z) = 6*c(z) + 26*j(z). Factor o(f).
2*(f - 4)*(f - 1)*(f + 1)
Suppose a = 3*i + 2*i + 14, 5*a + 3*i = 14. Suppose 6*v - 11 = 3*v - 5*s, 0 = -4*s + a. Let 1/2*r**v - r + 0 = 0. What is r?
0, 2
Let i(m) be the second derivative of 5*m**7/42 - m**6/3 + 5*m**4/6 - 5*m**3/6 + 21*m. Factor