or 0 + 1/8*o**2 + o.
o*(o + 8)/8
Let z be 104/16 + 2/(-4). Let g**3 - 3*g**3 + z*g - 2*g**2 - 2*g = 0. Calculate g.
-2, 0, 1
Let k(h) be the third derivative of 2/175*h**7 + 0*h + 5*h**2 + 1/30*h**4 + 0 + 1/75*h**5 + 0*h**3 - 1/30*h**6. Factor k(o).
4*o*(o - 1)**2*(3*o + 1)/5
Let u(r) be the second derivative of r**6/45 + 2*r**5/5 + 26*r**4/9 + 32*r**3/3 + 64*r**2/3 + 27*r. Factor u(b).
2*(b + 2)**2*(b + 4)**2/3
Let -14/11*c**4 + 12/11*c**2 + 4/11*c**3 + 2/11 - 10/11*c + 6/11*c**5 = 0. What is c?
-1, 1/3, 1
Let u = 0 - -1. Let z(f) = -3*f**3 + 3*f**2 + 3*f. Let y(a) = a**3 - a**2 + a. Let n(k) = u*z(k) + y(k). Solve n(q) = 0 for q.
-1, 0, 2
Let h(s) be the second derivative of 1/4*s**4 + 0 - 3*s**3 + 27/2*s**2 - 3*s. Determine n, given that h(n) = 0.
3
Let w(i) be the first derivative of -2*i**5/25 + 2*i**4/5 - 6. Determine f, given that w(f) = 0.
0, 4
Let d = 5590/4879 - 2/697. Determine f so that -2/7 - 6/7*f + d*f**3 + 0*f**2 = 0.
-1/2, 1
Let k(h) be the second derivative of h**4/18 - 2*h**3/3 + 3*h**2 - 9*h. Solve k(o) = 0.
3
Let w(i) be the second derivative of -1/20*i**5 + 4*i + 0*i**2 + 0 - 1/6*i**4 - 1/6*i**3. Determine l so that w(l) = 0.
-1, 0
Let y(p) be the third derivative of -p**6/90 - p**5/5 - 3*p**4/2 + 7*p**3/6 - p**2. Let r(l) be the first derivative of y(l). Factor r(s).
-4*(s + 3)**2
Let p(d) be the first derivative of -2/45*d**5 + 1/6*d**4 - 4/27*d**3 + 0*d**2 + 0*d - 7. Factor p(j).
-2*j**2*(j - 2)*(j - 1)/9
Let o be 3 - (6 + -2 + -3). Factor -2 - 4*s**2 + 7 - o*s**2 + 1 + 9*s.
-3*(s - 2)*(2*s + 1)
Let q(r) be the third derivative of 1/540*r**6 - r**2 + 1/90*r**5 + 1/36*r**4 + 0 + 0*r - 1/6*r**3. Let v(j) be the first derivative of q(j). Factor v(s).
2*(s + 1)**2/3
Let p(x) be the second derivative of -5*x**4/24 + 5*x**3/6 + 15*x**2/4 + 6*x. Factor p(u).
-5*(u - 3)*(u + 1)/2
Factor -3/2*b - 5/4 - 1/4*b**2.
-(b + 1)*(b + 5)/4
Let x be (282/42 + -7)/(1/(-7)). Factor 8/7 + 0*z - 2/7*z**3 - 6/7*z**x.
-2*(z - 1)*(z + 2)**2/7
Let n(j) be the third derivative of j**10/50400 + j**9/10080 - j**7/840 - j**6/240 - j**5/20 - 8*j**2. Let s(r) be the third derivative of n(r). Factor s(h).
3*(h - 1)*(h + 1)**3
Suppose -2*c = -2*j + j - 10, -2*c = -5*j - 26. Let y = -1 - j. Factor -2 - 10*i**3 - 2*i**2 + 2*i + 4*i**2 + 8*i**y.
-2*(i - 1)**2*(i + 1)
Let a(b) be the third derivative of b**9/332640 + b**8/36960 + b**5/12 - 6*b**2. Let t(g) be the third derivative of a(g). Factor t(c).
2*c**2*(c + 3)/11
Suppose -3*u + 4*u = 8. Let p = u + -6. Factor -1/3*y + 0 + 1/3*y**p.
y*(y - 1)/3
Let y(w) be the first derivative of -2 + 2*w + 1/48*w**4 + 1/8*w**2 + 1/12*w**3. Let t(u) be the first derivative of y(u). Find g such that t(g) = 0.
-1
Let d(i) be the first derivative of -21*i**4/4 - 44*i**3 - 225*i**2/2 - 54*i - 28. Solve d(z) = 0 for z.
-3, -2/7
Let l(f) be the third derivative of f**6/60 - f**4/12 - 9*f**2. Determine n so that l(n) = 0.
-1, 0, 1
Suppose -2*n = -7*n + 265. Factor n*t**2 + 2 - 54*t**2 - 1.
-(t - 1)*(t + 1)
Let c(a) be the first derivative of 1/12*a**6 - 7 + 1/4*a**2 + 1/2*a - 1/4*a**4 - 1/3*a**3 + 1/10*a**5. Factor c(q).
(q - 1)**2*(q + 1)**3/2
Let t(m) = m**2 - 3*m - 4. Suppose -7 = 5*w - 2. Let j(o) = -o - 1. Let a(v) = w*t(v) + 5*j(v). Factor a(s).
-(s + 1)**2
Let h be (-72)/(-15) - 12/15. Suppose -t - t + 2*d = h, -28 = -4*t - 5*d. Find f such that 50/7*f**4 + 0 - 104/7*f**t + 16/7*f + 180/7*f**3 - 250/7*f**5 = 0.
-1, 0, 2/5
Let g(c) be the third derivative of -1/105*c**7 + 0*c**3 - 1/20*c**6 - 1/12*c**4 - 1/10*c**5 + 0 + 0*c + 3*c**2. Factor g(n).
-2*n*(n + 1)**3
Let b(x) be the third derivative of -x**6/180 - x**5/60 + x**4/6 - x**3/2 + 3*x**2. Let u(f) be the first derivative of b(f). Solve u(s) = 0 for s.
-2, 1
Let r be (6/(-10))/(4/5 + -1). Find u, given that 0 + 0*u**4 + 0*u + 0*u**r + 0*u**2 + 1/3*u**5 = 0.
0
Let u(i) = -i**2 - i + 1. Let m(g) = 4*g**2 + 7*g - 8. Let z(c) = m(c) + 3*u(c). Factor z(p).
(p - 1)*(p + 5)
Let p = 62/3 + -20. Factor -p*w + 1/3*w**3 + 1/3*w**2 + 0.
w*(w - 1)*(w + 2)/3
Solve 0*v + 0 + 4/5*v**3 + 8/5*v**2 = 0.
-2, 0
What is y in -48/5*y**2 - 12/5*y**3 - 18/5 - 57/5*y = 0?
-2, -3/2, -1/2
Let d be 2342/(-35) + 4/20. Let o = 67 + d. Factor -o*k**3 + 0*k + 0 - 2/7*k**2 + 2/7*k**5 + 2/7*k**4.
2*k**2*(k - 1)*(k + 1)**2/7
Let c(g) = g**3 - 6*g**2 - 8*g + 10. Let p be c(6). Let b be p/(-60) + (-14)/105. Factor 1/4*q**5 - 3/4*q**4 - 3/4*q + b*q**2 + 1/2*q**3 + 1/4.
(q - 1)**4*(q + 1)/4
Let j(m) = 7*m**3 - 5*m**2 + 4*m - 3. Let r(o) = -o**3 - o**2 + 1. Let z(n) = j(n) + 3*r(n). Factor z(q).
4*q*(q - 1)**2
Let z = 4124/9 + -458. Suppose -2/9*v + 2/9*v**2 + 2/9*v**3 - z*v**4 + 0 = 0. Calculate v.
-1, 0, 1
Let d(z) be the third derivative of z**8/840 + z**7/175 - 2*z**5/75 - 9*z**2. Factor d(g).
2*g**2*(g - 1)*(g + 2)**2/5
Let n(f) = 12*f**3 + 6*f**2 - 3. Let v(k) = -5 + 7*k**3 + 17*k**3 + 0*k**3 + 11*k**2. Let l(z) = -5*n(z) + 3*v(z). Factor l(i).
3*i**2*(4*i + 1)
Let i(v) be the first derivative of 0*v - 1/2*v**2 + 0*v**4 + 0*v**3 - 1/30*v**5 - 3. Let q(r) be the second derivative of i(r). Factor q(g).
-2*g**2
Let r(a) = -a - 2. Let t be r(-6). Factor -2*m + t*m**4 - 7*m**2 + m**2 + 2*m**3 + 2*m**4.
2*m*(m - 1)*(m + 1)*(3*m + 1)
Let z(c) be the second derivative of -3*c**5/20 - c**4/2 - c**3/2 + 2*c. Factor z(t).
-3*t*(t + 1)**2
Let x(f) = 4*f**4 + f**3 - 3*f**2 - f - 1. Let n(j) = 3*j**4 - 2*j**2 - 1. Let q(h) = 3*n(h) - 2*x(h). Let q(o) = 0. Calculate o.
-1, 1
Let j(i) = 5 + 3*i**3 - 11*i - 2*i**2 - 4 - 7 - 8. Let a(k) = k**3 - k**2 - 4*k - 5. Let v = -2 + -6. Let o(w) = v*a(w) + 3*j(w). Factor o(x).
(x - 1)*(x + 1)*(x + 2)
Suppose 12*v - 11*v = 0. Let k(h) be the third derivative of 1/80*h**6 - 1/32*h**4 + 0*h**3 + 3*h**2 - 1/448*h**8 + 0*h + 0*h**7 + v*h**5 + 0. Factor k(f).
-3*f*(f - 1)**2*(f + 1)**2/4
Let i(l) be the first derivative of -l**5/3 + l**4/4 + 2*l**3/9 - 5. What is b in i(b) = 0?
-2/5, 0, 1
Let w(h) be the second derivative of h**7/5460 + h**6/2340 - h**5/390 + 4*h**3/3 + 3*h. Let u(n) be the second derivative of w(n). What is g in u(g) = 0?
-2, 0, 1
Let g be ((-8)/(-2) + -8)*-6. Let b be (-9)/10*(-32)/g. Factor -4/5*p**3 - b*p**2 + 0*p + 2/5.
-2*(p + 1)**2*(2*p - 1)/5
Factor 4*d**4 + d**5 - 3*d**4 - 3 + 4*d**4 - 7*d + 6*d**3 - 2*d**2.
(d - 1)*(d + 1)**3*(d + 3)
Suppose -3*h + 4*s + 6 = 0, -h - 3*s = s - 2. Suppose -4/3*z + 2/3 + 2/3*z**h = 0. What is z?
1
Let d = 15/14 - -3/7. Solve 0 - d*y**2 + 0*y - 3/2*y**3 = 0.
-1, 0
Let s(q) be the first derivative of 12*q**2 - 15*q**3 - 3*q - 4 - 6*q**4 + 48/5*q**5. Suppose s(g) = 0. Calculate g.
-1, 1/4, 1
Let y be 1/(0 - 2/6). Let x be ((-5)/(-2))/(y/(-6)). Let 0*w - 5*w**4 + 3*w**x - 2*w + 4*w**2 + w**2 - w**3 = 0. What is w?
-1, 0, 2/3, 1
Find x, given that 9*x + x + 9 - 5*x**2 - 7*x + x**3 = 0.
-1, 3
Suppose h = 5*h - 16. Factor 1 - h*u + 4 - 7 - 2*u**2.
-2*(u + 1)**2
Let x(g) = -12*g**2 - 15*g - 12. Let i(u) = 3*u**2 + 4*u + 3. Let q(b) = 9*i(b) + 2*x(b). Find w, given that q(w) = 0.
-1
Let t(c) = 7*c**2 + 7*c. Let a(w) = -w**2 - w. Let d(n) = 10*a(n) + 2*t(n). Factor d(g).
4*g*(g + 1)
Let a(f) be the second derivative of 0 - 1/6*f**4 - f**2 - 6*f - 2/3*f**3. Solve a(y) = 0 for y.
-1
Factor 35*z + 11 - 4*z**3 + 9*z**3 + 9 + 25*z**2 - 5.
5*(z + 1)**2*(z + 3)
Suppose -18 = -4*v - 5*u + 15, 23 = 3*v + 2*u. Let y(q) = q**2 - 7*q. Let j be y(v). Solve -o**2 + j*o**2 - 2*o - 2*o**2 + 4*o**2 = 0.
0, 2
Let x(t) be the second derivative of -t**8/2240 + t**7/2520 + t**6/240 - t**5/120 + t**4/12 - 2*t. Let d(w) be the third derivative of x(w). Factor d(g).
-(g - 1)*(g + 1)*(3*g - 1)
Let p be 1 + (-6)/1 + -1. Let o(h) = h**2 + 7*h + 9. Let b be o(p). Factor 4*s + b*s**2 - 2 - 4*s**2 - s**2.
-2*(s - 1)**2
Suppose -4*c = 8, -5*h = -3*c - 2*c - 80. Let m be (-4)/h - (-64)/28. Find j such that 0*j**2 + j**4 - 3*j**4 - 2*j + m*j**3 + 2*j**2 = 0.
-1, 0, 1
Let p(j) be the first derivative of -8*j**5/25 + 9*j**4/10 - 4*j**3/5 + j**2/5 - 40. Factor p(r).
-2*r*(r - 1)**2*(4*r - 1)/5
Find r, given that -2/13*r**4 + 6/13*r**3 + 0 + 2/13*r**2 - 6/13*r = 0.
-1, 0, 1, 3
Let d(q) be the third derivative of q**8/560 + q**7/140 - q**3/2 + q**2. Let o(j) be the first derivative of d(j). Factor o(c).
3*c**3*(c + 2)
Let d(h) = -3*h**3 + 5*h**2 + 4*h - 4. Let u(l) =