/3*m**4 + 11/3*m**2 + 0*m + 0 + 10/3*m**3.
-m**2*(m - 11)*(m + 1)/3
Let o(v) = v**3 - v + 2. Let s be o(0). Suppose -5*m + 33 = t, -t + 2 = -m - 1. Factor 8*y - 12 + y**s - 5*y**2 + t.
-4*(y - 1)**2
Let i(y) be the first derivative of y**4/28 - 22*y**3/21 + 41*y**2/14 - 20*y/7 + 221. Suppose i(d) = 0. What is d?
1, 20
Determine y so that -1/2*y**4 + y + 1/2 - y**3 + 0*y**2 = 0.
-1, 1
Let y(k) be the second derivative of 0 - 5/9*k**3 + 5/12*k**2 + 25/72*k**4 - 1/12*k**5 - 11*k. Factor y(b).
-5*(b - 1)**2*(2*b - 1)/6
Let m(t) be the second derivative of t**6/180 + t**5/30 + t**4/12 - 4*t**3 - t. Let i(r) be the second derivative of m(r). Solve i(g) = 0.
-1
Let n = 51913/72 - 721. Let w(y) be the third derivative of 1/120*y**6 + 0*y + y**2 - 1/630*y**7 + 0*y**3 - 1/60*y**5 + 0 + n*y**4. Find z, given that w(z) = 0.
0, 1
Let y(b) be the first derivative of -b**6/3 - 6*b**5/5 + 2*b**4 + 32*b**3/3 - 32*b + 101. Factor y(a).
-2*(a - 2)*(a - 1)*(a + 2)**3
Factor -3*o + 6*o - 3*o**2 + 34 + 2.
-3*(o - 4)*(o + 3)
Suppose 0 = 5*x - 4*n - 12, 4*n - 2*n = -6. Solve 3/5*g**2 + x + 3/5*g = 0.
-1, 0
Let q(h) be the first derivative of -7*h + 0*h**3 - 3/40*h**5 + 0*h**2 + 1 - 1/8*h**4. Let x(m) be the first derivative of q(m). Factor x(v).
-3*v**2*(v + 1)/2
Let r(q) = -3*q**2 + 76*q + 13. Let t(v) = -v**2 + 37*v + 6. Let x(f) = 6*r(f) - 13*t(f). What is o in x(o) = 0?
-5, 0
Let g = 1568/5 + -313. Find d such that -g*d**3 + 0 + 1/5*d**2 + 0*d = 0.
0, 1/3
Suppose -5*p + 0 = -10. Let o be 43/86 + 6/4. Let -3*h**4 + 23*h - 3*h**2 + 4*h - 5*h**o - 15*h**3 - h**p = 0. What is h?
-3, 0, 1
Let d(a) be the second derivative of -a**4/24 + 29*a**3/6 - 57*a**2/4 - 98*a. Suppose d(j) = 0. Calculate j.
1, 57
Let k(s) = -7*s + 13. Let p be k(6). Let l = -25 - p. Find v such that -9*v**3 + 2*v**2 - 2 + 5 + 3*v**3 + 7*v + 3*v**5 - 5*v**4 - l*v**5 = 0.
-3, -1, 1
Let i be 1*(1/(-2) - 186/(-228)). Solve i*c - 2/19*c**2 - 4/19 = 0.
1, 2
Suppose 23*y - 3895 = 4*y. Let h = 1437/7 - y. Suppose -4/7*a + 2/7 + h*a**2 = 0. What is a?
1
Let t = -17 - -18. Let z be t/4 - (-99)/36. Factor 80*l**3 + 5*l**5 - 3*l**5 - 82*l**z.
2*l**3*(l - 1)*(l + 1)
Suppose 0*o**2 - 31*o - 42*o - 119*o - 188 - 18*o**2 + 14*o**2 = 0. Calculate o.
-47, -1
Let b = 2/5281 - -26397/21124. Factor -3/2 - 1/4*m**2 + b*m.
-(m - 3)*(m - 2)/4
Let i(w) = 2*w**3 + 2*w**2 + 66*w - 324. Let g be i(6). Factor -2/3*j**4 - 144*j**2 - g*j - 864 - 16*j**3.
-2*(j + 6)**4/3
Let h(x) be the third derivative of 0*x - 9/16*x**3 - 1/160*x**5 - x**2 - 3/32*x**4 + 0. Factor h(k).
-3*(k + 3)**2/8
Suppose 8 = o + 2*i, 4*i = 3421*o - 3420*o + 16. Factor 0*d - 1/3*d**4 + 0*d**3 + 1/3*d**2 + o.
-d**2*(d - 1)*(d + 1)/3
Let r(c) be the first derivative of c**4 + 8*c + 8*c**2 - 14*c**3 - 7 + 14/5*c**5. Factor r(j).
2*(j - 1)**2*(j + 2)*(7*j + 2)
Let p(n) = -540*n**4 - 70*n**3 + 1595*n**2 + 1440*n + 240. Let k(r) = -45*r**4 - 6*r**3 + 133*r**2 + 120*r + 20. Let m(u) = -25*k(u) + 2*p(u). Factor m(h).
5*(h - 2)*(h + 1)**2*(9*h + 2)
Let p(u) = 5*u**3 + 14*u**2 + 9*u - 4. Let r(b) = -155*b**2 - 101*b + 49*b - 55*b**3 - 48*b + 45. Let f(v) = 45*p(v) + 4*r(v). Let f(a) = 0. Calculate a.
-1, 0
Let v(q) be the third derivative of q**7/42 - q**6/8 - q**5/2 + 5*q**4/3 - q**2 - 120. Suppose v(i) = 0. Calculate i.
-2, 0, 1, 4
Let l(q) = 2*q**3 - 8 + 12 + q**3 - 5*q**5 + 2*q**4 - 4*q. Let h(g) = 14*g**5 - 6*g**4 - 8*g**3 + 11*g - 11. Let j(w) = -4*h(w) - 11*l(w). Factor j(v).
-v**3*(v - 1)**2
Let t be (8/36)/((-18 + 8)/(-10)). Factor -2/3*k**2 - 4/9 - 2/9*k**3 + 10/9*k + t*k**4.
2*(k - 1)**3*(k + 2)/9
Factor 2 - 5/2*f + 1/2*f**2.
(f - 4)*(f - 1)/2
Let h = -30581 + 30583. Factor -1/3*m**h - 3*m - 8/3.
-(m + 1)*(m + 8)/3
Let t(a) be the first derivative of -5/3*a**3 + 0*a + 9/8*a**4 - 7/20*a**5 + a**2 + 1 + 1/24*a**6. Let t(o) = 0. What is o?
0, 1, 2
Solve 2/7*n**4 - 2/7*n**3 - 2*n**2 + 2/7*n + 12/7 = 0.
-2, -1, 1, 3
Let k(r) be the second derivative of 0 + 1/2*r**3 - 1/60*r**6 + 0*r**2 - 24*r + 3/20*r**5 - 11/24*r**4. Factor k(i).
-i*(i - 3)*(i - 2)*(i - 1)/2
Factor 0 - 14/5*y**2 - 36/5*y + 2/5*y**3.
2*y*(y - 9)*(y + 2)/5
Suppose 3 + 9 = 2*c + 2*z, -2*z - 6 = -4*c. Suppose 0*f + c*f = 6. Factor -9*m**f - 21*m - 3*m**3 + 21*m + 12.
-3*(m - 1)*(m + 2)**2
Let q(r) = r**3 - 3*r**2 - r + 13. Let n(w) = -2*w**2 + 6. Suppose -13 - 31 = 4*y - l, 3*y = 5*l - 50. Let x(d) = y*n(d) + 4*q(d). Solve x(m) = 0.
-2, -1, 1
Let v(b) be the first derivative of -b**4/8 + b**3 + b**2/4 - 3*b + 416. Suppose v(d) = 0. Calculate d.
-1, 1, 6
Let y(k) = 6*k**4 - 6*k**3 + 6*k + 3. Let l(w) = -18*w**4 + 19*w**3 - 17*w - 8. Let a(s) = 3*l(s) + 8*y(s). Solve a(v) = 0.
-1/2, 0, 1
Let m = -19 - -27. Factor -m*f**3 + 11*f**4 + 8*f - 11*f**4 - 16*f**2 + 12*f**4 + 4.
4*(f - 1)**2*(f + 1)*(3*f + 1)
Let z be ((-2)/4)/((-7)/42). Suppose z*b = -2*b + 10. Find l, given that l + 0*l**2 + 2*l - 4*l**2 - 3*l**3 + 3 + l**b = 0.
-1, 1
Let u(k) be the third derivative of -k**7/2520 + k**6/90 - 2*k**5/15 - 13*k**4/24 + 42*k**2. Let s(z) be the second derivative of u(z). Factor s(v).
-(v - 4)**2
Let l(b) be the second derivative of -b**6/60 + b**5/4 + 23*b**4/24 + b**3 - 77*b. Solve l(m) = 0.
-1, 0, 12
Let s(n) be the first derivative of -27/10*n**2 + 4*n - 3/5*n**3 - 1/20*n**4 + 4. Let k(a) be the first derivative of s(a). Suppose k(h) = 0. Calculate h.
-3
Let v(f) be the second derivative of 2*f**6/75 + f**5/25 - 2*f**4/3 - 8*f**3/15 + 48*f**2/5 + 9*f - 4. Factor v(j).
4*(j - 2)**2*(j + 2)*(j + 3)/5
Let s(o) be the second derivative of 41*o**4/30 - 37*o**3/15 - 4*o**2/5 - 6*o + 6. Factor s(k).
2*(k - 1)*(41*k + 4)/5
Let h be 0*(-1*(-2)/(-14))/((-63)/(-147)). Factor 2/11*r**3 - 2/11*r**4 + 2/11*r**2 - 2/11*r + h.
-2*r*(r - 1)**2*(r + 1)/11
Let j(g) be the third derivative of g**8/1680 - g**7/126 + g**6/60 + g**5/5 + 7*g**2. Let k(i) be the third derivative of j(i). Factor k(s).
4*(s - 3)*(3*s - 1)
Let r be 16/56 - 239/(-168). Let v = r - 11/8. Factor -v*j**2 + 0 - j.
-j*(j + 3)/3
Let o = -159/83 + 1196/581. Factor o*u**2 + 0*u - 1/7*u**3 + 0.
-u**2*(u - 1)/7
Factor -5*j**3 + 8*j**4 - 20*j**4 + j**3 + 12*j**2 - j**5 + 5*j**5.
4*j**2*(j - 3)*(j - 1)*(j + 1)
Let s(i) be the second derivative of 1/20*i**5 + 0 + 0*i**3 + 1/12*i**4 - i - 1/24*i**6 + i**2. Let d(a) be the first derivative of s(a). Factor d(o).
-o*(o - 1)*(5*o + 2)
Let d = 1054 - 1052. Let w(b) be the first derivative of 5 + 0*b**d + 2/3*b**3 + 0*b. Factor w(p).
2*p**2
Let j(z) be the third derivative of -5/16*z**4 - 1/60*z**5 + 1/672*z**8 + 7/120*z**6 + 3/4*z**3 + 0*z - 24*z**2 + 0 - 1/60*z**7. Determine u so that j(u) = 0.
-1, 1, 3
Let g(q) be the first derivative of -4*q**3/3 + 520*q**2 - 67600*q - 236. Solve g(u) = 0 for u.
130
Let u(s) = -3*s**3 + 11*s**2 + s - 11. Let z(q) = 10*q**3 - 33*q**2 - 3*q + 33. Let j(a) = -7*u(a) - 2*z(a). Solve j(v) = 0 for v.
-1, 1, 11
Let a(d) = d**3 + 3*d**2 + 2*d - 2. Suppose 0 = z + 12 - 14. Let q(k) = -2*k**3 - 3*k**2 - 3*k + 1. Let v(w) = z*q(w) + 3*a(w). Determine o so that v(o) = 0.
-1, 2
Let m(c) be the third derivative of c**5/15 + 5*c**4/3 + 44*c**2 + 1. Factor m(k).
4*k*(k + 10)
Let v(b) = -2*b**2 + 2*b - 4. Let z = 4 + -7. Let o(w) = w**2 - 2*w + 4. Let a = -72 - -68. Let y(h) = a*o(h) + z*v(h). Factor y(i).
2*(i - 1)*(i + 2)
Let f(a) = 4*a**3 + 32*a**2 + 18*a - 198. Let n(s) = -20*s**3 - 160*s**2 - 89*s + 989. Let o(u) = 11*f(u) + 2*n(u). Factor o(c).
4*(c - 2)*(c + 5)**2
Let w(u) be the first derivative of 11 + 0*u**4 + 0*u - 1/30*u**6 + 0*u**2 - 3/25*u**5 + 4/15*u**3. Let w(o) = 0. Calculate o.
-2, 0, 1
Let p(m) be the second derivative of -m**7/63 + 4*m**6/45 + m**5/10 - m**4 - 15*m. Solve p(a) = 0.
-2, 0, 3
Let a(p) be the third derivative of 0 + 1/54*p**5 + 0*p + 1/135*p**6 + 0*p**3 + 1/54*p**4 - 8*p**2 + 1/945*p**7. Factor a(z).
2*z*(z + 1)**2*(z + 2)/9
Let p(h) be the third derivative of -h**8/1176 - 13*h**7/735 - h**6/12 + 13*h**5/210 + 3*h**4/7 - 124*h**2. Determine k, given that p(k) = 0.
-9, -4, -1, 0, 1
Suppose -o + 7 = -7. Let r be (6/o + 0)*7. Find c, given that r*c**2 + c**3 - 3 - 12*c**2 - 9*c - 4*c**3 = 0.
-1
Suppose 725/6*s**2 - 486 + 1/6*s**4 - 9*s**3 + 36*s = 0. What is s?
-2, 2, 27
Solve 86/13 + 82/13*g**2 + 170/13*g - 2/13*g**3 = 0 for g.
-1, 43
Find h such that -20*h**2 