10080 + o**7/840 + o**6/180 + 2*o**5/15 + 3*o**2. Let k(f) be the third derivative of r(f). Factor k(v).
2*(v + 1)*(v + 2)
Let b(p) = p**3 + 7*p + 8. Let v(x) = 3*x**3 + 14*x + 17. Let g(s) = -15*b(s) + 6*v(s). Factor g(q).
3*(q - 3)*(q + 1)*(q + 2)
Let a(i) be the second derivative of -i**4/4 - 2*i**3 - 6*i**2 + 13*i. Factor a(b).
-3*(b + 2)**2
Let h(s) be the first derivative of -4*s**5/35 - 3*s**4/7 - 4*s**3/7 - 2*s**2/7 + 1. Factor h(n).
-4*n*(n + 1)**3/7
Let a(w) be the second derivative of -w**5/90 + w**4/54 + 2*w**3/27 - 28*w. Factor a(y).
-2*y*(y - 2)*(y + 1)/9
Let r(h) be the first derivative of -h**4/16 + 3*h**2/8 - h/2 - 8. Factor r(w).
-(w - 1)**2*(w + 2)/4
Let j = 76/9 - 529/63. Let m(o) be the second derivative of 0*o**2 + 0 + 1/3*o**4 - 2*o - 2/15*o**6 + 0*o**5 + 1/3*o**3 - j*o**7. Factor m(b).
-2*b*(b - 1)*(b + 1)**3
Find t, given that -4*t**2 - 2*t**2 - t**3 - 8*t**3 = 0.
-2/3, 0
Let m(q) = q**2 - q - 1. Let y(h) = 6 - 6*h**2 + 5*h + 3 - 4 + h**2 + h**3. Let u(w) = -6*m(w) - y(w). Determine s, given that u(s) = 0.
-1, 1
Let w(r) be the third derivative of 0 + 3*r**2 + 1/20*r**6 + 1/15*r**5 + 0*r + 0*r**3 + 1/24*r**4 + 1/336*r**8 + 2/105*r**7. Factor w(x).
x*(x + 1)**4
Let x = 1388/7 - 198. Factor -2/7*w**2 + 2/7*w**3 - 2/7*w + x.
2*(w - 1)**2*(w + 1)/7
Let l be (-14)/(-4) + 5/(-10). Let m(z) be the first derivative of -l - 1/24*z**6 + 1/8*z**2 + 1/10*z**5 - 1/6*z**3 + 0*z + 0*z**4. Solve m(u) = 0.
-1, 0, 1
Let t(g) = 3*g**2. Let b be t(-1). Suppose b*o = 6*o - 9. Factor 1/4*y + 0 - 1/4*y**4 + 1/4*y**2 - 1/4*y**o.
-y*(y - 1)*(y + 1)**2/4
Let f(r) = -r**2 + r + 3. Let i be f(3). Let w = 5 + i. Factor -3*g**2 + 2*g**w + 2*g**2 - 1.
(g - 1)*(g + 1)
Let g(u) be the first derivative of u**5/100 + u**4/30 + u**3/30 - 3*u + 1. Let h(r) be the first derivative of g(r). Suppose h(n) = 0. What is n?
-1, 0
Suppose -3*r - 5*o + 29 = 0, -2*r + 22 = 7*o - 3*o. Let a(z) be the first derivative of 10*z**4 + z - r + 5*z**2 + 11*z**3 + 16/5*z**5. Factor a(i).
(i + 1)**2*(4*i + 1)**2
Determine n, given that 0 + 1/7*n**2 - 5/7*n = 0.
0, 5
Factor 5 + 0 - n**4 - 10*n + 7*n**3 + 3*n**3 - 4*n**4.
-5*(n - 1)**3*(n + 1)
Let n be 4/10*(-35)/(-168). Let s(l) be the second derivative of 0 + l**2 - 3*l - n*l**4 - 1/6*l**3. Factor s(j).
-(j - 1)*(j + 2)
Let s(d) = -9*d**2 + 9*d + 6. Let p(k) = -k**2 + k + 1. Let q(i) = 12*p(i) - s(i). Let q(r) = 0. Calculate r.
-1, 2
Let l(q) = -17*q**3 - 8*q**2 + 8*q - 1. Let g(f) = 4*f**3 + 2*f**2 - 2*f. Let p(w) = 18*g(w) + 4*l(w). Determine k, given that p(k) = 0.
-1, 1
Let b(p) be the second derivative of 1/18*p**3 - 1/36*p**4 + 0 + 1/3*p**2 + 2*p. What is c in b(c) = 0?
-1, 2
Let d be 12/(-30) - 2/(-5). Let y(w) be the second derivative of w - 4/15*w**3 + 0 + d*w**2 - 7/75*w**6 + 2/5*w**4 + 9/50*w**5. Find f, given that y(f) = 0.
-1, 0, 2/7, 2
Let m(h) be the third derivative of 0*h - 1/30*h**5 - 1/4*h**4 - h**2 + 2/3*h**3 + 0 - 1/105*h**7 + 1/20*h**6. Let m(o) = 0. What is o?
-1, 1, 2
Suppose 6*k = 2*k + 88. Factor 2*b + b**2 - b**3 + k - 22.
-b*(b - 2)*(b + 1)
Let d(w) be the second derivative of -w**7/2205 - w**6/2520 + w**5/140 + 5*w**4/12 - 4*w. Let g(t) be the third derivative of d(t). Factor g(f).
-2*(f + 1)*(4*f - 3)/7
Factor 12*v + 3*v - 58*v**2 + 63*v**2.
5*v*(v + 3)
Let x(j) be the second derivative of j**6/165 + j**5/55 - j**4/66 - 2*j**3/33 + 5*j. Determine b so that x(b) = 0.
-2, -1, 0, 1
Let f(n) = 3*n**2 - 11*n + 5. Let c be f(4). Determine y, given that -2*y**2 + c*y**3 + y**5 - 2*y**3 + 8*y**4 - 3*y**4 + 5*y**2 = 0.
-3, -1, 0
Suppose 13 = 4*z + 2*q - q, -4*q + 26 = 3*z. Let t be 3/z*16/60. Factor -2/5*y + 2/5*y**3 + t - 2/5*y**2.
2*(y - 1)**2*(y + 1)/5
Let a(u) = u**4 - 1. Let z(f) = -5*f**4 + 3*f**3 - 2*f**2 + 4. Let q(x) = -4*a(x) - z(x). Determine s, given that q(s) = 0.
0, 1, 2
Let m(p) = -p**4 - 10*p**3 - 9*p**2 + 14*p + 14. Let q(x) = 6*x**4 + 69*x**3 + 63*x**2 - 99*x - 99. Let k(i) = 15*m(i) + 2*q(i). Factor k(u).
-3*(u - 1)*(u + 1)*(u + 2)**2
Factor 1 - 2 - 2*v**3 + 4*v - 2*v + v**4.
(v - 1)**3*(v + 1)
Let t = -352 + 355. Factor -1/3*a**2 - 1/3*a**t + 1/3*a**4 + 0*a + 0 + 1/3*a**5.
a**2*(a - 1)*(a + 1)**2/3
Let q(v) = 3*v**5 - 3*v**4 - 6*v**3 + 5*v - 5. Let s(r) = -r**4 - r**3 + r - 1. Let d(g) = 3*q(g) - 15*s(g). Factor d(w).
3*w**3*(w + 1)*(3*w - 1)
Suppose r + 2*r - v - 18 = 0, r + 4*v + 7 = 0. Let h(z) be the first derivative of 0*z - 2 + 1/7*z**4 + 0*z**3 + 0*z**2 - 2/35*z**r - 1/21*z**6. Factor h(n).
-2*n**3*(n - 1)*(n + 2)/7
Let v be (1/8 - 6/48)*-1. Determine y, given that -2/7*y**2 + 2/7 + v*y = 0.
-1, 1
Let h(b) be the first derivative of 3/4*b**4 - 3*b**2 - 3*b**3 + 1/2*b**6 - 7 + 0*b + 9/5*b**5. Factor h(t).
3*t*(t - 1)*(t + 1)**2*(t + 2)
Let h = 2 - 0. Factor 3*n**5 + 4*n**4 + n**2 - 7*n**2 - 3*n + h*n**4.
3*n*(n - 1)*(n + 1)**3
Let q(v) be the second derivative of v**7/6720 - v**5/960 - 5*v**3/6 + v. Let i(f) be the second derivative of q(f). Factor i(c).
c*(c - 1)*(c + 1)/8
Let t(h) be the third derivative of -h**7/7560 + h**5/360 - h**4/12 - 3*h**2. Let z(m) be the second derivative of t(m). Solve z(w) = 0.
-1, 1
Let f(o) be the second derivative of -3*o**5/100 + o**4/10 - o**3/10 + 2*o. Let f(b) = 0. What is b?
0, 1
Let d(o) be the second derivative of 3*o**5/4 + 25*o**4/6 + 15*o**3/2 + 5*o**2 + 9*o. Let d(s) = 0. What is s?
-2, -1, -1/3
Suppose -2*m - 2*v = 2*m - 52, 2*v = 2*m - 38. Let x = 15 - m. Suppose 0*l**2 + 1/4*l**5 + 0 + x*l**4 - 1/2*l**3 + 1/4*l = 0. Calculate l.
-1, 0, 1
What is s in -4/13*s**4 - 4/13 + 6/13*s**3 + 8/13*s**2 - 6/13*s = 0?
-1, -1/2, 1, 2
Let x(w) be the first derivative of w**5/60 - w**4/18 - w**3/18 + w**2/3 - 2*w + 3. Let r(n) be the first derivative of x(n). Factor r(q).
(q - 2)*(q - 1)*(q + 1)/3
Let y(l) be the first derivative of 1 + 4/3*l - 70/9*l**3 + 6*l**4 - l**2. Solve y(v) = 0 for v.
-1/4, 2/9, 1
Let x(m) be the second derivative of m**8/30240 + m**7/3780 + m**6/1620 + m**4/4 - 3*m. Let w(k) be the third derivative of x(k). Factor w(z).
2*z*(z + 1)*(z + 2)/9
Let q(m) be the second derivative of -m**6/210 + m**5/28 - 3*m**4/28 + m**3/6 - m**2/7 - 3*m + 4. Factor q(z).
-(z - 2)*(z - 1)**3/7
Factor 1/6*h**3 + 1/6*h**5 + 0*h + 0*h**2 + 0 - 1/3*h**4.
h**3*(h - 1)**2/6
Let r be (20 + -10)*(-6)/(-165). Factor -r + 14/11*n + 18/11*n**2.
2*(n + 1)*(9*n - 2)/11
Let n(m) be the third derivative of 0 + 1/210*m**7 + 0*m**6 + 0*m**4 + 0*m + 0*m**3 - 5*m**2 + 0*m**5. Factor n(x).
x**4
Suppose 3*l - 6 = i + 6, 0 = l - 2*i - 4. Let p(d) be the second derivative of 0 + 0*d**2 - d + 1/12*d**l - 1/6*d**3. Solve p(s) = 0.
0, 1
Let c(f) be the third derivative of -f**6/40 - f**5/10 - f**4/8 + 4*f**2. Determine p so that c(p) = 0.
-1, 0
Let f(q) = q**2 - q - 1. Suppose a = 5*a + 8. Let h(r) be the first derivative of -r**3 + 3*r**2/2 + 4*r - 14. Let w(z) = a*f(z) - h(z). Factor w(u).
(u - 2)*(u + 1)
Let u = -4/7 + 15/14. Let n(g) be the first derivative of u*g**2 - 1/6*g**3 - 2 - 1/2*g. Factor n(m).
-(m - 1)**2/2
Suppose 15*r + 7 = 14*r. Let j(f) = f**4 + 6*f**3 + 4*f. Let w(u) = -2*u**4 - 13*u**3 + u**2 - 9*u. Let b(l) = r*j(l) - 3*w(l). What is c in b(c) = 0?
-1, 0
Let o(s) be the first derivative of -s**5/20 - s**4/8 + s**3/4 + s**2/2 - s - 16. Let o(y) = 0. What is y?
-2, 1
Let k(p) be the first derivative of p**6/3 + 4*p**5/5 - 4*p**3/3 - p**2 + 9. Factor k(i).
2*i*(i - 1)*(i + 1)**3
Let y(t) = -t**2 - t + 2. Let i be y(0). Let v(h) be the third derivative of -1/6*h**3 + 2*h**i + 1/60*h**5 + 0*h + 0 + 0*h**4. Factor v(f).
(f - 1)*(f + 1)
Let f = -40 + 282/7. Determine s so that f - 4/7*s + 2/7*s**2 = 0.
1
Let w(q) be the third derivative of 0 + 5/21*q**7 + 7/24*q**6 - 1/3*q**4 + 0*q - 9/20*q**5 + 2/3*q**3 + 5*q**2. Let w(v) = 0. What is v?
-1, -1/2, 2/5
Let t(n) = 2*n**2 - n - 2. Suppose b - 4*j = 11, -3*j - 9 - 2 = 2*b. Let f(d) = -d**2 - d + 1. Let u(h) = b*t(h) + f(h). What is o in u(o) = 0?
-1, 1
Let d(z) = -z**3 - z**2 + z - 1. Let p(y) = y**4 - 3*y**3 - 8*y**2 - 4. Let c(w) = 4*d(w) - p(w). Suppose c(f) = 0. What is f?
-2, -1, 0, 2
Let s(j) be the third derivative of -1/135*j**5 + 1/540*j**6 + 0*j**3 + 0 - 5*j**2 + 1/108*j**4 + 0*j. Factor s(d).
2*d*(d - 1)**2/9
Let f be 3 + (4*(-2)/4 - 1). Let z(l) be the first derivative of 4 - 294/5*l**5 - 21