*n**4 + 3 + 0*n**3 + 0*n**2 + 4/35*n**5. Factor v(k).
2*k**3*(k + 1)**2/7
Let s(k) be the first derivative of k**3/3 - 3. Let z be s(-2). Factor b**3 - z*b + 4*b - b.
b*(b - 1)*(b + 1)
Factor 0 + 0*a + 8/5*a**3 - 7/10*a**4 - 2/5*a**2.
-a**2*(a - 2)*(7*a - 2)/10
Let w = 436/5 + -87. Factor -w*q**3 - 8/5*q + q**2 + 4/5.
-(q - 2)**2*(q - 1)/5
Let v(d) = -4*d**5 - d**4 + 17*d**3 - 25*d**2 + 13*d + 5. Let r(s) = 2*s**5 - 8*s**3 + 12*s**2 - 6*s - 2. Let x(i) = 5*r(i) + 2*v(i). Factor x(g).
2*g*(g - 1)**3*(g + 2)
Let f be -1 + -3 + 25 + -21. Let p(k) be the third derivative of f*k**3 - 1/66*k**4 + 4*k**2 + 0 + 1/660*k**6 + 1/330*k**5 + 0*k. Factor p(l).
2*l*(l - 1)*(l + 2)/11
Let h = -865 - -867. Factor -2/3*g**3 + 0*g + 0 + 4/3*g**h.
-2*g**2*(g - 2)/3
Suppose l = -4*l + 15. Let b(p) be the third derivative of 1/12*p**4 + 2/9*p**3 - l*p**2 + 1/90*p**5 + 0 + 0*p. What is u in b(u) = 0?
-2, -1
Let z(f) be the third derivative of f**7/280 - 3*f**6/160 + f**5/40 - 12*f**2. Determine r, given that z(r) = 0.
0, 1, 2
Let u(c) = -2*c. Let w = 6 - 7. Let t(p) = p**2 - p - 1. Let a(j) = w*u(j) + 2*t(j). Let a(o) = 0. Calculate o.
-1, 1
Let m(b) be the third derivative of -b**9/1008 - b**8/280 + b**6/60 + b**5/40 + b**3/6 - 5*b**2. Let f(s) be the first derivative of m(s). Factor f(g).
-3*g*(g - 1)*(g + 1)**3
Let b(x) = x**3 + x**2 + x + 2. Let m = 3 + -3. Let v be b(m). Determine f, given that 0*f - 3*f**v - 2 + 0 + 5*f = 0.
2/3, 1
Let y(t) = -3*t**2 + 6*t - 3. Let s(g) = -3*g**2 + 6*g - 3. Let h(f) = -f**3 + 11*f**2 - 11*f + 6. Let r be h(10). Let p(w) = r*s(w) + 5*y(w). Factor p(j).
-3*(j - 1)**2
Let k(u) be the second derivative of u - 1/18*u**3 + 0 + 0*u**2 + 1/36*u**4. Factor k(s).
s*(s - 1)/3
Determine k so that 8/13*k**2 - 2/13*k + 0 - 6/13*k**3 = 0.
0, 1/3, 1
Determine c so that -16/19*c**3 + 2/19*c**4 + 44/19*c**2 + 18/19 - 48/19*c = 0.
1, 3
Let j(r) be the third derivative of -r**5/12 + 10*r**3/3 - r**2 + 7. Factor j(t).
-5*(t - 2)*(t + 2)
Let i(v) = -v**3 - 37*v**2 - 103*v. Let m(a) = -8*a**3 - 260*a**2 - 720*a. Let j(y) = 20*i(y) - 3*m(y). Factor j(r).
4*r*(r + 5)**2
Find o such that -3/8*o**2 - 6 + 3*o = 0.
4
Let k(s) be the third derivative of -s**7/840 + s**6/80 - s**5/20 + s**4/12 + 17*s**2. Factor k(c).
-c*(c - 2)**3/4
Let s = 1369/2 - 683. Determine j so that -1/2*j**4 - s*j**2 - 3/2*j**3 + 0 - 1/2*j = 0.
-1, 0
Let z = 14/25 + -9/25. Factor 2/5*k**3 + 0*k**2 - 1/5*k**5 - z*k + 0 + 0*k**4.
-k*(k - 1)**2*(k + 1)**2/5
Factor 1 - 12*t - 3*t**2 - 11 + 0 - 2.
-3*(t + 2)**2
Suppose -10 = 5*u - 65. Let 2*s + 6*s**4 - 15*s**3 + s**2 + u*s**2 - 5*s = 0. What is s?
0, 1/2, 1
Let f(d) be the first derivative of d**6/480 - d**4/96 + 3*d**2/2 + 1. Let m(s) be the second derivative of f(s). Find z such that m(z) = 0.
-1, 0, 1
Let m be 2 - ((-17)/(-10))/((-4)/8). Factor -m*y**3 + 0 - 3/5*y**5 - 6/5*y + 3*y**4 + 21/5*y**2.
-3*y*(y - 2)*(y - 1)**3/5
Let v(j) be the third derivative of -j**7/525 + j**6/60 - 3*j**5/50 + 7*j**4/60 - 2*j**3/15 + 43*j**2. Let v(r) = 0. What is r?
1, 2
Suppose 0*k - 27 = 3*f - 5*k, 0 = -4*f - 5*k - 1. Let v be ((-20)/(-8))/((-2)/f). Factor 0*q + 2/5*q**4 + 1/5*q**3 + 1/5*q**v + 0*q**2 + 0.
q**3*(q + 1)**2/5
Suppose -4/7*i**2 - 8/7*i + 2/7*i**3 + 1/7*i**4 + 0 = 0. Calculate i.
-2, 0, 2
Let p be (-44)/(-44) + (-2)/(-1). Let -1/4*k**2 + 5/4*k - 1/4*k**p - 3/4 = 0. Calculate k.
-3, 1
Let s(y) be the third derivative of -1/240*y**5 - y**2 - 1/840*y**7 + 0*y**4 - 1/240*y**6 + 0*y**3 + 0*y + 0. Suppose s(h) = 0. What is h?
-1, 0
Let m(f) be the second derivative of f**7/21 - 2*f**6/7 + 43*f**5/70 - 4*f**4/7 + 4*f**3/21 - 17*f. Determine h so that m(h) = 0.
0, 2/7, 1, 2
Let c(y) be the first derivative of -y**3/3 + y**2/8 - 3. Factor c(k).
-k*(4*k - 1)/4
Let x(q) be the second derivative of -q**6/180 + q**5/60 - 2*q**3/3 - 2*q. Let r(a) be the second derivative of x(a). Suppose r(b) = 0. What is b?
0, 1
What is g in 3*g - 3*g + 6*g - 3*g**2 = 0?
0, 2
Let y(d) be the first derivative of 1/60*d**6 + 1/15*d**5 + 1/12*d**4 + 0*d**3 - 3 + 0*d - 1/2*d**2. Let f(o) be the second derivative of y(o). Solve f(k) = 0.
-1, 0
Let i(w) be the second derivative of w**4/48 - w**2/8 + w. Factor i(y).
(y - 1)*(y + 1)/4
Let y(h) be the third derivative of -h**7/2100 + h**6/240 - 3*h**5/200 + 7*h**4/240 - h**3/30 + 10*h**2. Suppose y(g) = 0. Calculate g.
1, 2
Suppose 3*s - 1 = h + h, -s + 2*h = 5. Suppose 0 = 2*b - s*r + 4*r, 4*b + 4*r = 0. Suppose 6*f**3 - 49/4*f**5 + b + 21/4*f**4 + f**2 + 0*f = 0. Calculate f.
-2/7, 0, 1
Let t = 278/7 - 549/14. What is r in 1/2*r**4 + 0 + 1/2*r**3 - 1/2*r - t*r**2 = 0?
-1, 0, 1
Let u(r) = -r**3 + r**2 - 6*r + 2. Let o(d) = -d**3 + d**2 - d - 1. Let h(g) = -4*o(g) + 2*u(g). Find z, given that h(z) = 0.
-2, 1, 2
Let b(m) = m**3 + 13*m**2 + 9*m - 8. Let k(z) = 6*z**2 + 4*z - 4. Let f(n) = -2*b(n) + 5*k(n). Find g, given that f(g) = 0.
-1, 1, 2
Factor -y**2 + 0*y - 1/2*y**3 + 2*y**4 + 0 + 3/2*y**5.
y**2*(y + 1)**2*(3*y - 2)/2
Let g(h) be the second derivative of 0 + 1/4*h**3 + 1/4*h**4 + 0*h**2 - 3*h. Factor g(y).
3*y*(2*y + 1)/2
Suppose 10 = 4*c - 10. Factor 3*v**c + 3*v**2 - 4*v**4 - 3*v**3 + 0*v**5 + v**4.
3*v**2*(v - 1)**2*(v + 1)
Let d(c) be the second derivative of -49*c**7/6 + 49*c**6/5 - 21*c**5/5 + 2*c**4/3 - 4*c. What is b in d(b) = 0?
0, 2/7
Let s = 109 + -105. Factor -4/7*c**s + 4/7*c**2 + 2/7*c**5 + 0*c**3 - 2/7*c + 0.
2*c*(c - 1)**3*(c + 1)/7
Find o, given that 0 - 5/3*o**5 + 10/3*o**2 + 0*o - 10/3*o**4 + 5/3*o**3 = 0.
-2, -1, 0, 1
Let g(w) be the first derivative of w**5/270 + w**4/108 + 2*w**2 + 6. Let x(k) be the second derivative of g(k). Determine h so that x(h) = 0.
-1, 0
Let h(r) be the second derivative of 0*r**4 + 0*r**3 + 1/10*r**5 - 1/10*r**6 + 0 + 0*r**2 - r + 1/42*r**7. Factor h(q).
q**3*(q - 2)*(q - 1)
Let x(w) be the second derivative of 49*w**5/30 - 7*w**4/6 - 8*w**3/3 - 4*w**2/3 + 8*w. Factor x(s).
2*(s - 1)*(7*s + 2)**2/3
Let t(h) = -h**3 + 6*h**2 - 4*h - 3. Let d be t(5). What is q in 2/3*q - 1/3 - 1/3*q**d = 0?
1
Suppose 0 = -2*x - 2*x - 4. Let u be x - 0 - (-28 + 1). Factor u*g**2 + 12*g + 2 - 4*g**2 - 4*g**2.
2*(3*g + 1)**2
Solve 1/4*h**3 + 0*h - h**2 + 0 = 0 for h.
0, 4
Let t = 900/7 - 128. Find z such that 0*z + 2/7*z**3 + 0 - t*z**2 = 0.
0, 2
Factor -3/4*h**3 - 1/4*h + 3/4*h**2 + 0 + 1/4*h**4.
h*(h - 1)**3/4
Let s be (1 + 3)/((-2)/(-1)). Suppose 20 = 3*u + s*u. Factor -4*f**u + f + 5*f**4 - 2*f + 3*f**2 - 3*f**3.
f*(f - 1)**3
Let a(b) = -b**3 - b**2 + b - 1. Let w(g) = -g**3 - 2*g**2 + g - 1. Let v(f) = 3*a(f) - 2*w(f). Factor v(i).
-(i - 1)**2*(i + 1)
Let g(n) = -n**3 + 3. Let p be g(0). Let m be (8/(-6))/((-2)/p). Let -1/3 - 2*d**m + 4/3*d + 4/3*d**3 - 1/3*d**4 = 0. What is d?
1
Let p(r) be the second derivative of -r**7/105 + r**6/60 - r**2 - 8*r. Let v(b) be the first derivative of p(b). Let v(t) = 0. What is t?
0, 1
Suppose -2 = -z - 4*c - 8, -4*z - 4*c = 0. Let v be -2 + 2 + 1 - 1. Determine h, given that v - 1/2*h**4 - 1/2*h - 3/2*h**z - 3/2*h**3 = 0.
-1, 0
Let m be (72/(-90))/(4/30). Let o be 1/(-1) - (3 + m). Factor 0*h + 2/5*h**o - 2/5.
2*(h - 1)*(h + 1)/5
Let m(a) be the second derivative of a**8/420 - a**7/210 - a**6/90 + a**5/30 - a**3/2 + 7*a. Let s(o) be the second derivative of m(o). Factor s(j).
4*j*(j - 1)**2*(j + 1)
Let k = 15 - 11. Suppose -1 = 2*w - 7. Find z such that -1/3 + 4/3*z**k - 11/3*z**w - 1/3*z + 3*z**2 = 0.
-1/4, 1
Let h(z) be the first derivative of 5*z**3/3 + 15*z**2/2 + 10*z - 10. Suppose h(o) = 0. Calculate o.
-2, -1
Find x such that -2/13*x**2 + 4/13*x + 2/13*x**4 - 4/13*x**3 + 0 = 0.
-1, 0, 1, 2
Let u(b) be the third derivative of b**7/2520 - b**5/90 + b**3/3 - 2*b**2. Let i(v) be the first derivative of u(v). Factor i(y).
y*(y - 2)*(y + 2)/3
Let 12*q**3 + 34*q**3 + 16*q**2 + 21*q**4 - 8*q - 4 + 16*q**3 + 21*q**2 = 0. Calculate q.
-2, -1, -2/7, 1/3
Let v(k) = k + 12. Let a = -10 + 2. Let d be v(a). Factor s**3 + 0*s + 1/2*s**2 + 1/2*s**d + 0.
s**2*(s + 1)**2/2
Let a(m) be the first derivative of -m**7/1155 + m**5/165 - m**3/33 + 9*m**2/2 + 9. Let g(f) be the second derivative of a(f). What is r in g(r) = 0?
-1, 1
Suppose 4*w = 15 - 3. Factor 3*p + w + 3/4*p**2.
3*(p + 2)**2/4
Let o(q) = -q**3 - q**2 - q - 1. Let p(g) = 6*g**3 - 9*g**2 + 18*g - 3. 