w**2 - 5*w + 2. Let p be s(5). Factor o + 3*o**2 + 0*o**2 - o**p + o**2.
o*(3*o + 1)
Let p(t) be the second derivative of 5*t**4/24 + 5*t**3/2 + 25*t**2/4 - 28*t + 2. Factor p(l).
5*(l + 1)*(l + 5)/2
Let y = -87 + 91. Let g(z) be the first derivative of -3/11*z**y + 8/11*z**3 + 3 + 2/55*z**5 + 0*z - 8/11*z**2. Factor g(p).
2*p*(p - 2)**3/11
Let l be (-42)/(-54)*10/35. Factor -l*i**5 - 26/9*i**3 - 8/9*i + 0 - 4/3*i**4 - 8/3*i**2.
-2*i*(i + 1)**2*(i + 2)**2/9
Let b(k) = 4*k**3 + 48*k**2 + 192*k + 259. Let u(v) = -8*v**3 - 96*v**2 - 384*v - 519. Let h(m) = 7*b(m) + 3*u(m). Factor h(x).
4*(x + 4)**3
Let t(s) = -6*s**4 + 180*s**3 - 1795*s**2 + 6000*s. Let j(u) = -21*u**4 + 630*u**3 - 6282*u**2 + 21000*u. Let d(w) = -5*j(w) + 18*t(w). Factor d(g).
-3*g*(g - 10)**3
Let x(v) be the first derivative of 18*v - 6*v**2 + 2/3*v**3 + 1. Solve x(r) = 0.
3
Solve 2/13*k**2 + 2/13 - 4/13*k = 0 for k.
1
Find d, given that 1/9*d**4 - 1/3*d - 5/9*d**3 + 7/9*d**2 + 0 = 0.
0, 1, 3
Let c be (464/(-48) - -10)/(22/60). Find z such that 18/11*z + c*z**2 - 4/11 = 0.
-2, 1/5
Suppose 2*c = 6*c + 12, -3*q + 4*c = -21. Solve 2*z + q - 7 + 0 + 3*z**2 - z**2 = 0 for z.
-2, 1
Factor -1/2*i**4 - i**3 + 0*i**2 + 0*i + 3/2*i**5 + 0.
i**3*(i - 1)*(3*i + 2)/2
Let p(g) = -g**2 - 8*g - 5. Suppose -21 = 5*q + 14. Let b be p(q). Let -8/3*t**4 - 2/3*t + 0 - 4*t**3 - 2/3*t**5 - 8/3*t**b = 0. Calculate t.
-1, 0
Let z(w) = 5*w**2 - 8*w - 7. Let v(i) = -2*i**2 + 4*i + 3. Let k(l) = -7*v(l) - 3*z(l). Factor k(c).
-c*(c + 4)
Suppose 5*x + 0 = 10. Factor -2*j + 3*j**2 + j**4 - 9*j**x + 3*j**2.
j*(j - 2)*(j + 1)**2
Let w(b) be the third derivative of b**8/80640 + b**7/20160 - b**6/1440 + b**5/20 + 4*b**2. Let p(j) be the third derivative of w(j). Factor p(r).
(r - 1)*(r + 2)/4
Let j = -10 + 21. Let n = j - 7. Factor 3*r - 2*r**2 - r + r**n - 2*r**3 - r + r**5 + 1.
(r - 1)**2*(r + 1)**3
Let v(b) be the third derivative of -b**8/5880 + b**7/980 - b**6/420 + b**5/420 + b**3/3 - 3*b**2. Let o(p) be the first derivative of v(p). Factor o(m).
-2*m*(m - 1)**3/7
Let r(f) be the second derivative of 0 + 0*f**2 - 3*f - 3/10*f**5 + 0*f**4 + 0*f**6 + 1/14*f**7 + 1/2*f**3. What is u in r(u) = 0?
-1, 0, 1
Let p = 1/540 + 1067/7020. Solve 4/13 + 8/13*r**3 + p*r**5 - 8/13*r**4 + 4/13*r**2 - 10/13*r = 0 for r.
-1, 1, 2
Factor -8/7*x + 10/7*x**2 - 2/7.
2*(x - 1)*(5*x + 1)/7
Let l(f) = 12*f - 118. Let d be l(10). Suppose -33/4*o + 147/4*o**3 + 3*o**d - 42*o**4 + 12*o**5 - 3/2 = 0. What is o?
-1/4, 1, 2
Let n be 1 + -1 - 3558/(-252). Let i = -83/6 + n. Factor -6/7*w**2 - 2/7*w**4 + i*w + 0 + 6/7*w**3.
-2*w*(w - 1)**3/7
Let g(q) be the second derivative of q**7/42 + q**6/10 - q**5/20 - q**4/4 - q**3/2 + 2*q. Let v(r) = r**4 - r**2 - r. Let y(c) = -g(c) + 3*v(c). Factor y(u).
-u**3*(u - 1)*(u + 1)
Let p(a) = -a**4 - a**3 - 1. Let g(l) = 3*l**4 - 10*l**3 + 54*l**2 - 108*l + 83. Let i(o) = 3*g(o) + 6*p(o). Determine x, given that i(x) = 0.
3
Let u(t) be the third derivative of 0*t - 1/40*t**6 + 1/8*t**4 + 1/70*t**7 + 0 - 3/20*t**5 + 6*t**2 + t**3. Solve u(g) = 0 for g.
-1, 1, 2
Let n(w) be the second derivative of -w**4/4 - w**3/2 - 20*w. Let n(z) = 0. Calculate z.
-1, 0
Let y(s) be the second derivative of -3*s**5/40 - s**4/4 + 3*s**3/4 + 12*s. Solve y(u) = 0.
-3, 0, 1
Let i be -1 - 3/(405/111). Let t = -8/5 - i. Let 10/9*x - t*x**4 - 2/9*x**3 + 4/9 + 2/3*x**2 = 0. Calculate x.
-1, 2
Let b = 501 - 16535/33. Let y = b + 8/11. Factor 0*t**2 - 4/3*t**3 + 0*t + 4*t**5 + y*t**4 + 0.
2*t**3*(2*t - 1)*(3*t + 2)/3
Find d, given that 1/4*d + 1/4*d**2 - 3/2 = 0.
-3, 2
Let l = -34 - -104/3. Factor 0 + l*i + 0*i**2 - 2/3*i**3.
-2*i*(i - 1)*(i + 1)/3
Suppose -1/4*h**2 + 1/2*h**3 + 0*h + 0 = 0. Calculate h.
0, 1/2
Let j(x) be the third derivative of 3*x**2 + 0 - 1/20*x**5 + 0*x + 1/8*x**4 + x**3. Factor j(a).
-3*(a - 2)*(a + 1)
Let x(f) = 4*f - 10. Let l be x(3). Let 3*s**3 + 36/5*s**l + 6/5 + 27/5*s = 0. What is s?
-1, -2/5
Suppose 0 = 10*a - 7*a. Let v(w) be the second derivative of -1/24*w**3 + 1/48*w**4 + 1/80*w**5 + 2*w + a - 1/8*w**2. Suppose v(x) = 0. What is x?
-1, 1
Let l(r) be the third derivative of -1/90*r**6 - 4/3*r**4 + 0*r + 1/5*r**5 + 32/9*r**3 + 7*r**2 + 0. Solve l(i) = 0 for i.
1, 4
Find h, given that 513/4*h**2 + 39/2*h**4 - 729/8*h - 15/8*h**5 + 81/4 - 75*h**3 = 0.
2/5, 1, 3
Let p(a) be the third derivative of -a**8/60480 - a**7/7560 - a**6/2160 + a**5/20 + a**2. Let d(u) be the third derivative of p(u). Factor d(y).
-(y + 1)**2/3
Let b be 8 + -8 - (-27 - 0). Let c be (4/14)/(b/63). Solve -c*y + 0 + 1/3*y**2 = 0.
0, 2
Suppose 0*v = v - 7. Suppose -v = -y - x, y + 4*x - 1 = 15. Suppose 24*m**5 + 4*m - 4*m + 26*m**5 + 8*m**3 - 40*m**y = 0. Calculate m.
0, 2/5
Let n = 3 - -4. Let l(z) be the third derivative of 0*z**4 - 1/60*z**6 + 0*z + 2*z**2 + 0*z**5 + 0*z**3 - 1/105*z**n + 0. Factor l(q).
-2*q**3*(q + 1)
Let n(p) be the third derivative of -2*p**5/105 + p**4/14 - 2*p**3/21 + 5*p**2. Factor n(b).
-4*(b - 1)*(2*b - 1)/7
Suppose -2*n = 4 - 14. Find f, given that -2*f**2 + n*f - 4*f**3 - 4*f + 5*f**3 = 0.
0, 1
Let y(v) be the second derivative of -1/40*v**5 - 1/48*v**6 + 0*v**3 - v**2 + 0 + 2*v + 1/24*v**4. Let s(i) be the first derivative of y(i). Factor s(r).
-r*(r + 1)*(5*r - 2)/2
Let v(r) be the first derivative of r**5 + 5*r**4/2 - 5*r**3 - 20*r**2 - 20*r - 10. Factor v(c).
5*(c - 2)*(c + 1)**2*(c + 2)
Factor 0 + 1/2*c - 1/2*c**5 + 0*c**3 - c**4 + c**2.
-c*(c - 1)*(c + 1)**3/2
Let p(h) = h**3 + 4*h**2 + h - 4. Let y be (-2)/(-8) - 13/4. Let a be p(y). Factor 5*c**2 - 2*c**2 + a*c + c**2 - 2*c**2.
2*c*(c + 1)
Let j(f) be the first derivative of 4 + f**2 + 1/3*f**6 + 0*f + 0*f**3 + 0*f**5 - f**4. Let j(y) = 0. What is y?
-1, 0, 1
Find t, given that 25*t**3 - 5*t**4 - 13*t**2 + 62*t - 27*t - 10 - 32*t**2 = 0.
1, 2
Let w be 38/9 + 4/(-18). Suppose w*m + 0 = 8. Solve 2 - m + 38*i + 4 + 96*i**3 + 112*i**2 = 0 for i.
-2/3, -1/4
Suppose 0 = -3*z - 2*s + 2, 4*z - 4 = z - 4*s. Let b(a) be the first derivative of 1/6*a**3 + z*a + 0*a**2 + 1. Factor b(k).
k**2/2
Let b(a) be the first derivative of -a**6/10 + a**4/2 - 3*a**2/2 + a - 8. Let d(g) be the first derivative of b(g). Find f such that d(f) = 0.
-1, 1
Let h = -30 - -33. Suppose c = 2*o - 1 - 5, -3*o = -h*c - 6. Find b such that 2/9*b + 2/9*b**c - 4/9 = 0.
-2, 1
Let x(y) = -y**2 - 9*y - 6. Let p be x(-8). Let 51*z**4 + 9*z**5 - 6*z - 60*z**3 + 44*z**p - 24*z**5 - 11*z**2 - 3*z**3 = 0. What is z?
0, 2/5, 1
Let z(a) be the second derivative of 7*a**3 - 49/12*a**4 - 9/2*a**2 + 2*a + 0. Factor z(j).
-(7*j - 3)**2
Let t(x) be the first derivative of -x**3/4 - 1. Find s such that t(s) = 0.
0
Let k(p) be the third derivative of p**8/504 + p**7/315 - p**6/60 - p**5/18 - p**4/18 - 42*p**2. Let k(w) = 0. What is w?
-1, 0, 2
Let q be -5 + -4 + 130/14. Let v = -196 - -1374/7. Suppose -6/7*b**2 + 6/7*b + v*b**3 - q = 0. Calculate b.
1
Let v(p) = -p**4 + p**3 - p**2 + p + 1. Let f(x) = -x**3 - 4*x**2 + 5 + 2*x**3 - 2 + 3*x. Let s be 3/(-4)*(-2 + 6). Let r(l) = s*v(l) + f(l). Factor r(m).
m**2*(m - 1)*(3*m + 1)
Let q be (-28)/(-3)*120/520. Factor q*i**3 + 4/13 + 18/13*i + 12/13*i**4 + 32/13*i**2 + 2/13*i**5.
2*(i + 1)**4*(i + 2)/13
Let x be 4/(-10)*(-5 - 0). Suppose -5*f + x*r + 12 = 0, 0*f + 4*f - 12 = 4*r. Suppose f*c**2 + 3*c**3 - 2*c**4 + 2*c**3 - 3*c**3 - c - c = 0. Calculate c.
-1, 0, 1
Let o(c) be the third derivative of -c**5/300 - 2*c**4/15 - 32*c**3/15 + 37*c**2. Suppose o(k) = 0. What is k?
-8
Let f(u) = 4*u**4 - 3*u**3 - 4*u - 3. Let m(b) = b**2 - 9*b**4 + 7 + 3*b**2 + 9*b + 6*b**3 - 3*b**2. Let q(k) = -7*f(k) - 3*m(k). Factor q(j).
-j*(j - 1)**3
Suppose -6*k = 9*k. Let l(w) be the third derivative of 0 - 1/30*w**5 - 1/3*w**3 + 1/6*w**4 - 3*w**2 + k*w. Factor l(o).
-2*(o - 1)**2
Let i(k) be the first derivative of -1/10*k**5 + 0*k**2 + 3*k + 0*k**4 - 2 + 0*k**3. Let f(w) be the first derivative of i(w). Find c, given that f(c) = 0.
0
Factor -3*r + r**3 - r**3 - 9 + 9*r**2 + 3*r**3.
3*(r - 1)*(r + 1)*(r + 3)
Factor -6/7 - 2/7*z**2 + 8/7*z.
-2*(z - 3)*(z - 1)/7
Let d be 12/(-18) + 0 + 8/3. Find j, given that 0*j + 2/3*j**d - 2/3 = 0.
-1, 1
Let i(z) be the first derivative of 5*z**4/4 - 10*z**2 - 40. Factor i(n).
5*n*(n - 2)*(n + 2)
Let d(c) be the third derivative o