 2/7*m**2 + 3/7*m**5 + 0 + v*m.
m**2*(m - 1)**2*(3*m - 2)/7
Factor -14*v - 35 + 15 + 14*v**2 - 16*v**2.
-2*(v + 2)*(v + 5)
Let j(y) be the third derivative of -3*y**6/40 - 7*y**5/20 - y**4/4 - 5*y**2. Find v such that j(v) = 0.
-2, -1/3, 0
Let g(k) = k**2. Let o(u) be the first derivative of 3*u**5/5 + 3*u**4/4 + u**3 - 3*u**2/2 - 1. Let p(s) = 6*g(s) - o(s). Factor p(r).
-3*r*(r - 1)*(r + 1)**2
Factor -2 - 11 + o**2 + 2*o - 14*o.
(o - 13)*(o + 1)
Let a(k) = -3*k**2 - 5*k - 23. Let c(s) = -3*s**2 - 3*s - 24. Let i(d) = 6*a(d) - 5*c(d). Factor i(g).
-3*(g + 2)*(g + 3)
Suppose -2*c + 7*c = -5*t + 25, 3*c = -4*t + 18. Factor -3*b**2 - b**2 + 2*b**2 + c*b**3.
2*b**2*(b - 1)
Let s(c) = c**2 - 7*c - 4. Let x(o) = o**2 - 4*o + 3. Let p be x(5). Let q be s(p). Let 3 + 2*h**2 - 2 + 4*h**3 - 3*h**q - 5*h + 0*h**2 + h = 0. Calculate h.
-1, 1/3, 1
Let x(u) = u + 1. Let z be x(5). Suppose -w - t + z = 0, 2*w = -t + 3*t - 4. Factor 1/5*o + 1/5*o**w - 2/5.
(o - 1)*(o + 2)/5
Let h(w) be the second derivative of w**5/70 - 5*w**4/42 + 8*w**3/21 - 4*w**2/7 - 5*w. Determine g so that h(g) = 0.
1, 2
Let m(j) be the first derivative of j**7/1260 - j**6/540 - j**5/180 + j**4/36 + j**3/3 - 9. Let i(a) be the third derivative of m(a). Factor i(w).
2*(w - 1)**2*(w + 1)/3
Let y(w) be the first derivative of w**6/2 + 12*w**5/5 + 3*w**4/2 - 4*w**3 - 9*w**2/2 - 5. Determine p, given that y(p) = 0.
-3, -1, 0, 1
Let p be 2 + ((-2 - 1) + 3)*1. Let 0*r - 2/7*r**4 - 2/7*r**p - 4/7*r**3 + 0 = 0. Calculate r.
-1, 0
Let d(k) be the first derivative of 3*k**5/20 + 3*k**4/8 + k**3/4 - 3. Find s such that d(s) = 0.
-1, 0
Let x(s) be the second derivative of s**4/60 - s**3/30 + 6*s. Let x(n) = 0. Calculate n.
0, 1
Let x = -74658/5 + 15001. Let w = x + -69. Suppose -4/5*b**3 - w*b**4 - 2/5 + 4/5*b**2 + 2/5*b + 2/5*b**5 = 0. Calculate b.
-1, 1
Let r be 2/3 + (-8)/12. Suppose -2*m + 18 = 2*m + t, r = -4*m + 4*t + 28. Suppose 2/9*l**4 + 0*l**3 + 0*l + 0 + 0*l**2 + 2/9*l**m = 0. Calculate l.
-1, 0
Let n(r) = -4*r**3 + 8*r**2 - 4*r - 4. Let v(w) = -4*w**3 + 9*w**2 - 5*w - 5. Let q(m) = -5*n(m) + 4*v(m). Factor q(y).
4*y**2*(y - 1)
Factor 0 + 8/17*q**2 - 10/17*q + 2/17*q**3.
2*q*(q - 1)*(q + 5)/17
Let y = -37 - -20. Let z = -8 - y. Let z*o**4 + 7*o**5 + 3*o**3 - 2*o**3 + o**3 = 0. What is o?
-1, -2/7, 0
Let b(j) be the third derivative of j**6/540 + j**5/54 + 7*j**4/108 + j**3/9 - 45*j**2 + 2*j. Factor b(d).
2*(d + 1)**2*(d + 3)/9
Suppose -62/3*s**4 - 10*s**5 - 8/3*s**2 + 0*s - 40/3*s**3 + 0 = 0. What is s?
-1, -2/3, -2/5, 0
Let w(c) be the third derivative of c**6/30 - 4*c**5/15 + 2*c**4/3 - 9*c**2. Let w(k) = 0. What is k?
0, 2
Let w(l) be the first derivative of 5*l**5/2 + 5*l**4/2 - 7*l**3/2 - 5*l**2 - 2*l - 2. Determine m so that w(m) = 0.
-1, -2/5, 1
Let 32/3*y - 128/3 - 2/3*y**2 = 0. What is y?
8
Let m(w) = w**3 + 4*w**2 + 2*w - 1. Let b be m(-3). Suppose -s + 2 = -b. Factor 0*g**3 - 3*g + s*g**3 - 2*g**2 + 7*g - 4*g**2 - g**4 - 1.
-(g - 1)**4
Factor -19*m**2 + 30*m**3 + 60*m - 20 - 5*m**4 - 23*m**2 - 23*m**2.
-5*(m - 2)**2*(m - 1)**2
Suppose 6 = -2*q - 12. Let m = q + 11. Factor 10*g**2 + 8*g**3 + 2*g + m*g - 2 + 4*g**2.
2*(g + 1)**2*(4*g - 1)
Suppose 0 = -2*n - 8, 0 = 4*f - 4*n + 2*n + 12. Let u be ((-4)/f)/((-4)/(-10)). Determine p, given that 4 - 4 - 2*p**5 - u*p**2 - 6*p**4 - 6*p**3 = 0.
-1, 0
Let j(b) be the second derivative of 1/30*b**4 - b - 2/5*b**3 + 0 + 9/5*b**2. Let j(d) = 0. Calculate d.
3
Let l(x) be the third derivative of -x**8/4200 + x**7/2100 - 2*x**3/3 + x**2. Let g(f) be the first derivative of l(f). Let g(a) = 0. Calculate a.
0, 1
Suppose 380*r - 385*r + 10 = 0. Let d(x) be the first derivative of -2/21*x**3 + 4 - 2/7*x - 2/7*x**r. Suppose d(m) = 0. Calculate m.
-1
Suppose 4*m - 3*m = 2. Factor -i - 6 - 7*i + 3*i**m + 5*i.
3*(i - 2)*(i + 1)
Let s(l) = -26*l**4 + 31*l**3 - l**2 + 4. Let w(u) = -51*u**4 + 61*u**3 - u**2 + 9. Let a(m) = -9*s(m) + 4*w(m). Solve a(k) = 0.
0, 1/6, 1
Suppose -2/15*o**4 - 4/5*o**2 + 8/15*o**3 + 8/15*o - 2/15 = 0. What is o?
1
Let y(k) be the first derivative of 3 + 0*k**4 + 0*k - 1/5*k**5 + 1/12*k**6 + 1/3*k**3 - 1/4*k**2. Suppose y(u) = 0. Calculate u.
-1, 0, 1
Let i(f) be the first derivative of 5*f**4/8 + 5*f**3/6 - 22. Factor i(u).
5*u**2*(u + 1)/2
Let p = -128 + 641/5. Let d(i) be the second derivative of p*i**2 + 0 + 2/15*i**3 + 3*i + 0*i**4 - 1/25*i**5 - 1/75*i**6. Factor d(z).
-2*(z - 1)*(z + 1)**3/5
Let y(z) = -z**2 - 12*z + 8. Let r(l) = -l. Let o(x) = 4*x**2 + 54*x - 40. Let u(h) = -o(h) + 6*r(h). Let p(i) = 5*u(i) - 24*y(i). Factor p(f).
4*(f - 2)*(f - 1)
Let c(i) be the first derivative of i**5 - 15*i**4/4 + 5*i**3/3 + 15*i**2/2 - 10*i - 9. Factor c(r).
5*(r - 2)*(r - 1)**2*(r + 1)
Let d(a) be the third derivative of 8*a**7/1365 - a**6/65 + a**5/65 - a**4/156 - 29*a**2. Factor d(r).
2*r*(2*r - 1)**3/13
Let i be 4/12 - 5/(-3). Let w be (3 - 5/i)*0. Factor -2/7*y + w*y**2 + 0 + 2/7*y**3.
2*y*(y - 1)*(y + 1)/7
Let l be 1 + (-7)/4 + 1. Let z = 11 + -11. Suppose l*d**4 + 0*d**3 + 0*d - 1/4*d**2 + z = 0. What is d?
-1, 0, 1
Let b(q) = 3*q**3 - q**2 + 2*q. Let w(h) = h**3 + h**2. Let t(i) = -b(i) + 2*w(i). Factor t(n).
-n*(n - 2)*(n - 1)
Suppose -8/5*k**2 - 14/5*k**5 - 14/5*k + 4/5*k**4 + 28/5*k**3 + 4/5 = 0. What is k?
-1, 2/7, 1
Let f(n) be the third derivative of -n**6/24 - 7*n**5/12 - 25*n**4/8 - 15*n**3/2 - 53*n**2. Suppose f(z) = 0. Calculate z.
-3, -1
Let t(y) be the second derivative of -1/3*y**4 + 4*y + 0*y**2 + 1/3*y**3 + 1/10*y**5 + 0. Solve t(n) = 0 for n.
0, 1
Let l be (-2)/2 - -3 - 0. Suppose 0 = 2*i + l*i - 12. Factor -13/2*w**i - 15/2*w**2 - 1/2 - 7/2*w - 2*w**4.
-(w + 1)**3*(4*w + 1)/2
Let m(d) be the first derivative of d**4/54 + 2*d**3/9 + d**2 - 4*d - 1. Let g(w) be the first derivative of m(w). What is s in g(s) = 0?
-3
Let c(q) = -q**2 - 9*q + 10. Let w be c(-8). Factor 0 + w*p**4 + 9*p**2 + 24*p - 24*p**3 - 8 - 19*p**2.
2*(p - 1)*(p + 1)*(3*p - 2)**2
Let g be (-18 + 18)*(-1)/(-2). Let d(t) be the second derivative of 1/2*t**3 + 1/8*t**4 + 3/4*t**2 + g + 3*t. What is y in d(y) = 0?
-1
Let s(x) = -2*x**4 - 13*x**3 - 7*x**2 + 11. Let o(n) = -7*n**3 + 5 - 2 - 5*n**2 + 3 + n**2 - n**4. Let a(u) = -11*o(u) + 6*s(u). Solve a(m) = 0.
-2, 0, 1
Suppose -3*p + 5*p + 2*q = 8, p - 4 = -2*q. Let r = 0 + 2. Determine i so that p + 0*i**2 - 2 - r*i**2 = 0.
-1, 1
Factor -2/7 + 50/7*y**3 + 22/7*y - 10*y**2.
2*(y - 1)*(5*y - 1)**2/7
Let j = 11 - 0. Let 1 + 2*r - j + 8 + r**2 + 3 = 0. What is r?
-1
Let r(m) = 9*m**5 - 2*m**4 - 10*m**3 + 4*m**2 + 5*m + 2. Let g(o) = o**5 + 1. Let t(x) = -20*g(x) + 5*r(x). Find u, given that t(u) = 0.
-1, 2/5, 1
Find l such that 0 + l**4 + 4/3*l - 5/3*l**3 - 4/3*l**2 = 0.
-1, 0, 2/3, 2
Let k(j) = 4*j + 4. Let r be k(0). Factor 0 - 26/3*l**3 + 8*l**2 - 8/3*l - 2/3*l**5 + 4*l**r.
-2*l*(l - 2)**2*(l - 1)**2/3
Suppose 3 + 6 = 3*u. Suppose 1 = i - u. Factor 2*g**i + 0*g**4 + 0*g**5 + g**5 + 6*g**5.
g**4*(7*g + 2)
Solve 4*w**5 + 20*w**3 + 106*w + 8*w**2 - 106*w + 16*w**4 = 0.
-2, -1, 0
Let v(k) be the second derivative of -k**7/210 - k**6/150 + k**5/100 + k**4/60 - 4*k. Suppose v(j) = 0. Calculate j.
-1, 0, 1
Let y(p) be the first derivative of -p**4/60 + p**3/15 - p**2/10 + 6*p + 4. Let j(i) be the first derivative of y(i). Determine v, given that j(v) = 0.
1
Let o(h) be the first derivative of -1/12*h**6 + 1/5*h**5 + 1/4*h**2 - 4 + 0*h**4 - 1/3*h**3 + 0*h. Let o(s) = 0. What is s?
-1, 0, 1
Factor 4/3*q**2 + 4/3*q**3 + 0 - 4/3*q**4 - 4/3*q**5 + 0*q.
-4*q**2*(q - 1)*(q + 1)**2/3
Let j(x) be the third derivative of 3*x**2 + 0 + 0*x + 3/32*x**4 + 0*x**5 - 1/160*x**6 - 1/4*x**3. Factor j(k).
-3*(k - 1)**2*(k + 2)/4
Suppose 1/5*k**3 + 4/5 + 6/5*k**2 + 9/5*k = 0. What is k?
-4, -1
Suppose 39*r = -6*r. Factor r*q**2 - 4/5*q**3 + 0 + 4/5*q.
-4*q*(q - 1)*(q + 1)/5
Factor -927*f**2 + 934*f**2 - 4*f - f**4 + f**3 - 3*f**3.
-f*(f - 1)**2*(f + 4)
Suppose 0 = 2*s + 2*s. Let n(r) be the first derivative of 0*r**2 + 2 + 0*r + 1/6*r**4 + s*r**3 + 1/9*r**6 + 4/15*r**5. Solve n(q) = 0 for q.
-1, 0
Let d = -488/35 - -99/7. Let 0*v**2 + 0 - d*v + 1/5*v**3 = 0. Calculate v.
-1, 0, 1
Let t be 21/(-175)*3/(-9). Let c(u) be the second derivative of -7/50*u**5 + 2/5*u**2 - 2*u + 7/15*u**3 + 1/30*u**4 - t*u**6 + 0. Solve c(