+ 4*n**4 - n**g.
2*n**3*(n - 1)
Let d = 3 + -1. Let h be (-42)/35*(-5)/d. Determine w so that 3*w**2 - 4*w**2 - 3*w**2 + 2*w + 2*w**h = 0.
0, 1
Suppose 4*h + 3*h = 2*h. Factor 3/2*p**2 + 2*p**3 + 1/2*p**4 + h*p + 0.
p**2*(p + 1)*(p + 3)/2
Factor -4/3*f**4 + 16/9*f**2 + 0*f**3 + 0*f - 4/9*f**5 + 0.
-4*f**2*(f - 1)*(f + 2)**2/9
Let u(t) = 20*t**4 + 64*t**3 + 76*t**2 - 16. Let b(i) = -4*i**4 - 13*i**3 - 15*i**2 + 3. Let r(z) = -16*b(z) - 3*u(z). Find y such that r(y) = 0.
-3, -1, 0
Factor -2025/2 - 1/2*h**2 + 45*h.
-(h - 45)**2/2
Solve -3*v - 109*v**3 - 4*v**4 + 208*v**5 - 7*v**4 - 28*v**2 - 47*v**3 + 11*v - 21*v**4 = 0 for v.
-1/2, 0, 2/13, 1
Let k = 113/45 - 19/9. Find r, given that -1/2*r**2 + k*r**4 + 3/10*r**3 + 1/10 - 3/10*r = 0.
-1, 1/4, 1
Let h(w) be the second derivative of w**7/294 + w**6/210 - w**5/70 - w**4/42 + w**3/42 + w**2/14 - 118*w. Suppose h(d) = 0. Calculate d.
-1, 1
Factor 0 - p**4 - 3/4*p**3 - 1/2*p + 9/4*p**2.
-p*(p - 1)*(p + 2)*(4*p - 1)/4
Let q(r) be the first derivative of -r**8/840 + r**7/210 + r**6/60 + 7*r**3/3 - 8. Let d(f) be the third derivative of q(f). Suppose d(i) = 0. Calculate i.
-1, 0, 3
Let c(d) be the first derivative of 2*d**3/3 + 5*d**2 + 63. Factor c(h).
2*h*(h + 5)
Let y(o) be the second derivative of 0 - 1/12*o**4 + 8*o + 0*o**2 + 0*o**3. Determine c, given that y(c) = 0.
0
Let l = -1849 - -1852. Factor s**2 + 0*s - 1/4*s**l + 0.
-s**2*(s - 4)/4
Let n(q) be the first derivative of 1/36*q**3 - 10*q + 1/72*q**4 - 1/6*q**2 + 9. Let y(r) be the first derivative of n(r). Let y(l) = 0. Calculate l.
-2, 1
Let s(q) be the first derivative of -3*q**5/20 + q**4 + 5*q**3/2 + 9*q + 8. Let v(d) be the first derivative of s(d). Let v(o) = 0. Calculate o.
-1, 0, 5
Let b be 2 - (-8 - (-95)/10). Solve b*j - 1/4*j**2 - 1/4 = 0.
1
Let o = -75 + 80. Let 4*q**2 + q**2 - 51*q + 51*q - o = 0. What is q?
-1, 1
Let u(i) be the first derivative of 0*i + 2*i**2 + 1 + 1/150*i**5 + 3/5*i**3 - 1/10*i**4. Let a(o) be the second derivative of u(o). Let a(s) = 0. What is s?
3
Let d = 16 + -3. Suppose d*u = 5*u + 16. Suppose -u*n**2 - 1/3*n + 0 - 3*n**3 = 0. What is n?
-1/3, 0
Let h be -1*((4 - 5 - 6) + 2). Suppose -4*y = -3*v + 26, h*y - 4*y = -3*v + 1. Suppose -1/3*f**v + 0 + 0*f = 0. Calculate f.
0
Suppose 6*a - 32 = 2*a. Let v = a - 5. Factor -1/5*j**5 + 0*j**v + 1/5*j + 0 + 2/5*j**4 - 2/5*j**2.
-j*(j - 1)**3*(j + 1)/5
Suppose 3*y + 12 = 21. Let t(f) be the second derivative of 0 + 3*f - 8*f**2 + 0*f**y + 1/3*f**4. Factor t(c).
4*(c - 2)*(c + 2)
Let a(n) be the third derivative of n**6/12 - 37*n**5/30 + 7*n**4/6 - 188*n**2. Suppose a(s) = 0. Calculate s.
0, 2/5, 7
Let q(i) be the second derivative of 2/45*i**6 - 32*i + 0*i**2 + 0 - 1/9*i**4 - 1/15*i**5 + 2/9*i**3. Suppose q(h) = 0. What is h?
-1, 0, 1
Let y = -66109/292 - -303/73. Let o = y - -223. What is i in -o*i**2 + 3/2 + 7/4*i = 0?
-2/3, 3
Let b(h) be the first derivative of -h**4/9 + 4*h**3/27 + 4*h**2/3 + 18. Factor b(p).
-4*p*(p - 3)*(p + 2)/9
Suppose -b - b = 5*q - 58, 4*b = -4. Let w(l) = -l - 4. Let u be w(-6). Solve 9 - q*m + 0*m**2 + 2*m**2 + 2*m**u - m**2 = 0 for m.
1, 3
Factor 4/7*m**2 + 400/7 + 80/7*m.
4*(m + 10)**2/7
Suppose -58 = 5*y - 23. Let p(r) = -r - 6. Let q be p(y). Find l, given that 2*l + 2*l - 4*l**2 + q - l**2 = 0.
-1/5, 1
Let m(u) = 12*u**3 + 18*u**2 + 4*u**4 - 3 - 2*u - 9 + 14. Let k(w) = -21*w**4 - 60*w**3 - 90*w**2 + 11*w - 11. Let p(q) = -4*k(q) - 22*m(q). Factor p(i).
-4*i**2*(i + 3)**2
Let g(s) be the first derivative of s**4/26 + 20*s**3/39 + 17*s**2/13 + 16*s/13 - 52. Suppose g(d) = 0. Calculate d.
-8, -1
Let -75*f**3 + 140*f**2 + 440*f**2 + 97*f + 83*f - 160 = 0. What is f?
-2/3, 2/5, 8
Let g = 21 + -13. Suppose 0 = -g*s + 6*s + 4. Find b such that 7*b**2 + 12*b**3 + s*b**5 - 3*b**2 - b**5 + 3*b**5 + 12*b**4 = 0.
-1, 0
Let j = -330 + 1981/6. Let d(g) be the first derivative of 0*g**3 + 1/5*g**5 + 0*g**2 + 5/18*g**6 + 7 - j*g**4 + 0*g. Factor d(b).
b**3*(b + 1)*(5*b - 2)/3
Let b(d) = 25*d**4 + 10*d**3 + 5*d - 5. Let p(k) = -k**5 - 23*k**4 - 11*k**3 - k**2 - 4*k + 4. Let m(l) = -4*b(l) - 5*p(l). Factor m(v).
5*v**2*(v + 1)**3
Let f(d) be the second derivative of d**5/10 - 25*d**4/6 - 26*d**3/3 + 18*d - 5. Factor f(l).
2*l*(l - 26)*(l + 1)
Let z(o) be the second derivative of -1/24*o**4 + 3/4*o**2 + 1/6*o**3 + 0 - 10*o. Factor z(t).
-(t - 3)*(t + 1)/2
Let p(i) = -44*i**2 + 7*i - 6 + 17*i**2 + 28*i. Let f = -1656 + 1658. Let b(m) = 27*m**2 - 36*m + 6. Let q(g) = f*b(g) + 3*p(g). Suppose q(u) = 0. Calculate u.
2/9, 1
Suppose -233*u - 5 = -234*u. Find g, given that 0 + u*g**4 + 5/3*g**2 + 0*g - 5*g**3 - 5/3*g**5 = 0.
0, 1
Let p(y) be the first derivative of 2*y**3/3 + 3*y**2 - 36*y - 53. Factor p(x).
2*(x - 3)*(x + 6)
Let k be (-12)/15 - 124/(-130). Suppose -2/13*r**2 - k*r + 2/13*r**3 + 2/13*r**4 + 0 = 0. What is r?
-1, 0, 1
Let a(c) be the second derivative of -1/20*c**5 + c**2 + 1/30*c**6 + 1/6*c**3 + 28*c + 0 - 1/4*c**4. Factor a(j).
(j - 2)*(j - 1)*(j + 1)**2
Let n = 230 - 226. Let q(g) be the third derivative of -2*g**2 + 1/20*g**5 + 0*g + 0 - 1/8*g**n + 0*g**3. Factor q(c).
3*c*(c - 1)
Let p(f) be the first derivative of f**6/1980 + f**5/330 + f**4/132 + 5*f**3 + 1. Let s(g) be the third derivative of p(g). Determine b, given that s(b) = 0.
-1
Let i = -11/305 + 937/610. Suppose 3/2*t - 3/2*t**3 + 3/2*t**2 - i*t**4 + 0 = 0. What is t?
-1, 0, 1
Suppose 3 = 3*x - 33. Suppose -4*s = -3*l + x, s + 16*l - 13*l - 12 = 0. Determine g so that s + 1/2*g**4 - g + 5/2*g**2 - 2*g**3 = 0.
0, 1, 2
Let n(x) = x + 12. Let v be n(-8). Suppose -3*g = g, -3*g + v = 2*z. Let 4*h - 4*h - h**z - 2*h + 3 = 0. Calculate h.
-3, 1
Let p(d) be the third derivative of -d**6/30 + 8*d**5/15 - 11*d**4/6 - 40*d**3/3 - 966*d**2. Determine y so that p(y) = 0.
-1, 4, 5
Let d = 70 - 70. Let t be 6/14 + (-33)/(-21). Let 10*k**2 + d*k**3 + 2*k**3 - 6*k**t = 0. Calculate k.
-2, 0
Let p(g) = -3*g**2 - 8*g - 12. Let o be 100/(-8)*8/10. Let f be (4 + -8)*o/8. Let q(s) = -3*s**2 - 7*s - 12. Let k(d) = f*p(d) - 4*q(d). What is u in k(u) = 0?
-2
Let l(z) be the third derivative of -z**7/315 - 19*z**6/180 - 13*z**5/10 - 33*z**4/4 - 30*z**3 - 16*z**2. Factor l(r).
-2*(r + 3)**3*(r + 10)/3
Let t(x) be the first derivative of x**3/6 + 104. Factor t(b).
b**2/2
Let u(i) be the first derivative of -i**8/2520 - i**7/1008 - i**6/2160 - i**3 + 30. Let d(v) be the third derivative of u(v). Factor d(h).
-h**2*(h + 1)*(4*h + 1)/6
Let i(c) = -c**3 + 7*c**2 + 95*c - 420. Let h be i(12). Factor 0*w + 3/8*w**5 - 3/8*w**3 + 0*w**2 + 0*w**4 + h.
3*w**3*(w - 1)*(w + 1)/8
Let i(p) = 2*p - 13. Let z be i(10). Let u be -2 + z - 6/((-9)/(-3)). Factor 0 + h**4 + 0*h**2 - 3/2*h**5 + 0*h + 0*h**u.
-h**4*(3*h - 2)/2
Let y = -3 - -4. Let o be y/1*3 + -1. Factor -1 + a**3 + o*a**2 + 5 - 4.
a**2*(a + 2)
Let r be (4/72*-2)/(330/(-297)). Suppose -2/5*c + r*c**2 + 3/10 = 0. What is c?
1, 3
Let r(w) be the first derivative of -11*w**2/2 - 13*w + 32. Let i be r(-3). Factor 8/3*z + 0 + 6*z**5 - 40/3*z**2 - i*z**4 + 74/3*z**3.
2*z*(z - 1)**2*(3*z - 2)**2/3
Let m be -1 + 1718/(-6)*-1. Let u = m - 285. Factor 0 + 0*f - u*f**3 + 2/3*f**2.
-f**2*(f - 2)/3
Let n(d) be the second derivative of -d**4/84 + 2*d**3/7 - 11*d**2/14 + d - 14. Solve n(s) = 0.
1, 11
Determine u so that -2/3*u**2 - 8*u - 40/3 = 0.
-10, -2
Let g be (-3 + -1)*(1 + -2). Suppose x + 4*o + 11 = 0, 8*o + 24 = g*x + 7*o. Factor 2/3*c**4 - 4/9*c**2 + 4/9*c**3 - 2/9 + 2/9*c**x - 2/3*c.
2*(c - 1)*(c + 1)**4/9
Let v(b) = -11*b**4 - 26*b**3 - 26*b**2. Let k(q) = -10*q**4 - 25*q**3 - 25*q**2. Let p(z) = 6*k(z) - 5*v(z). Factor p(o).
-5*o**2*(o + 2)**2
Let c(q) be the first derivative of q**4/30 - 44*q**3/45 - 23*q**2/15 - 184. Factor c(g).
2*g*(g - 23)*(g + 1)/15
Let d(n) = 9*n**3 - 49*n**2 + 33*n + 42. Let a(t) = 4*t**3 - 24*t**2 + 14*t + 21. Let u(g) = -7*a(g) + 3*d(g). Let u(p) = 0. What is p?
-1, 1, 21
Factor -9 - 4*d**2 + 778*d + 3*d**3 - 781*d + 13*d**2.
3*(d - 1)*(d + 1)*(d + 3)
Let x(l) be the second derivative of l**4/4 + 5*l**3/2 + 9*l**2 + 2*l + 21. Factor x(n).
3*(n + 2)*(n + 3)
Let z(f) = -f**4 + 18*f**3 + 30*f**2 + 17*f. Let s(p) = -18*p**3 - 30*p**2 - 16*p. Let q(d) = -3*s(d) - 2*z(d). What is u in q(u) = 0?
-7, -1, 0
Let f(t) = 3*t + 18. Let y be f