= u - 1, 0*u - 9 = -5*s - u. Determine w, given that -9/2 - 3/2*w**s - 6*w = 0.
-3, -1
Suppose -j = -4 - 3. Let m = j - 5. What is p in -m*p**5 - 3*p**4 + 3*p**5 + 4*p**4 = 0?
-1, 0
Let h be 1 + -3 + -3 + 1. Let r = 6 + h. Factor -1 + o**5 + o + 0*o**4 + 5*o**r - 3*o**2 - o**4 - 2*o**3.
(o - 1)**3*(o + 1)**2
Suppose 24 = 16*a - 40. Determine n so that -13/2*n**2 - 137/4*n**3 + 9*n + 42*n**a - 49/4*n**5 + 2 = 0.
-2/7, 1, 2
Let b = -9 - -11. Let m(o) = -o**2 - 7*o - 4. Let j be m(-6). Let 2*h**3 - 5*h**3 + j*h**3 + h**b = 0. Calculate h.
0, 1
Let c(r) be the second derivative of r**5/130 - r**4/39 + r**3/39 - 16*r. Solve c(q) = 0 for q.
0, 1
Let p(c) be the third derivative of -c**6/120 + c**5/20 - c**3/6 + 9*c**2. Let i(v) be the first derivative of p(v). Suppose i(x) = 0. Calculate x.
0, 2
Let 0 - 1/4*c - 1/4*c**2 = 0. Calculate c.
-1, 0
Let l(n) be the first derivative of n**6/8 + 7*n**5/20 + 5*n**4/16 + n**3/12 - 3. Factor l(x).
x**2*(x + 1)**2*(3*x + 1)/4
Let -21/5*s**2 + 9*s - 27/5 + 3/5*s**3 = 0. What is s?
1, 3
Let f(l) be the first derivative of -5*l**9/3024 - l**8/240 - l**7/420 + 2*l**3 + 9. Let r(k) be the third derivative of f(k). Let r(n) = 0. Calculate n.
-1, -2/5, 0
Let h(q) be the first derivative of q**6 + 28*q**5/5 + 11*q**4 + 8*q**3 - q**2 - 4*q - 7. Factor h(i).
2*(i + 1)**3*(i + 2)*(3*i - 1)
Let i = 73/324 - -2/81. Let w(c) be the third derivative of 0*c - 3*c**2 + 0 - 1/2*c**4 + i*c**5 + 3/40*c**6 - 2*c**3. Factor w(u).
3*(u - 1)*(u + 2)*(3*u + 2)
Factor 6/5*m**3 - 3/5*m + 0*m**2 + 0 + 0*m**4 - 3/5*m**5.
-3*m*(m - 1)**2*(m + 1)**2/5
Let -1/2 + v**2 - 1/2*v**4 + 0*v**3 + 0*v = 0. What is v?
-1, 1
Solve -f + 0*f + 2*f**2 - 3*f + 2 = 0 for f.
1
Let u(w) = -w**3 + 7*w**2 + 4*w. Let s(g) = -g**3 + 13*g**2 + 7*g. Let z(v) = 4*s(v) - 7*u(v). Let z(p) = 0. Calculate p.
-1, 0
Factor -4*w - 4*w**2 + 24 + 4*w**3 + 20 + 4*w**4 - 44.
4*w*(w - 1)*(w + 1)**2
Let i(d) be the first derivative of -d**4/4 + d**3 + 9*d**2/2 - 2*d + 3. Let y(s) be the first derivative of i(s). Factor y(p).
-3*(p - 3)*(p + 1)
Let y(x) be the first derivative of -x**6/12 - 6*x**5/5 - 27*x**4/4 - 18*x**3 - 81*x**2/4 + 5. Factor y(f).
-f*(f + 3)**4/2
Let g(h) be the second derivative of 0 - 8/3*h**3 + 81/40*h**5 - 15/8*h**4 - h**2 - 2*h. Find o such that g(o) = 0.
-2/9, 1
Let x(m) be the third derivative of m**6/40 - 7*m**4/8 - 3*m**3 - 7*m**2. Factor x(h).
3*(h - 3)*(h + 1)*(h + 2)
Let l(q) be the first derivative of -q**6/18 - 2*q**5/15 + 2*q**3/9 + q**2/6 + 1. Factor l(a).
-a*(a - 1)*(a + 1)**3/3
Let k(g) be the first derivative of g**4/24 - g**3/6 + g**2/4 - g/6 - 8. Factor k(w).
(w - 1)**3/6
Suppose -5*n + 15 = 5*v, 5*v = 2*n - 5*n + 5. Let y(k) be the second derivative of 1/12*k**4 + 0 + 1/6*k**2 - k + 1/6*k**3 + 1/60*k**n. Factor y(w).
(w + 1)**3/3
Suppose 23 = 4*f + 3*x, -9 = 4*f - 3*x - 2. Let z be (-4)/(-3) + 22/6. Factor 1/4*m**z + 1/4*m**4 - 1/4*m**f + 0 - 1/4*m**3 + 0*m.
m**2*(m - 1)*(m + 1)**2/4
Let v = 839/40 - 108/5. Let j = -3/8 - v. Solve 1/2*c**3 + 1/2*c**2 - j*c**4 - 1/4*c - 1/4*c**5 - 1/4 = 0.
-1, 1
Suppose -40*m = -28*m - 24. Suppose 1/3*i**3 + 4*i - 2*i**m - 8/3 = 0. Calculate i.
2
Let t be 9 - (18 + -12)*1/2. Let u(k) be the third derivative of -1/9*k**3 + k**2 + 0*k - 1/9*k**4 + 0 - 1/45*k**t - 1/315*k**7 - 1/15*k**5. Factor u(h).
-2*(h + 1)**4/3
Let j = 23/8 + -17/8. Factor -3/4*r**2 - 3/4*r + 3/4*r**3 + j.
3*(r - 1)**2*(r + 1)/4
Let w be (-3 - 0)/(-3) - -2. Let r = w - 3. Factor 0*x + 1/3*x**2 + r + x**3 + 2/3*x**4.
x**2*(x + 1)*(2*x + 1)/3
Let x = 5 - 5. Find m, given that m + 16*m**5 + m - 14*m**5 + x*m - 4*m**3 = 0.
-1, 0, 1
Let r(z) be the first derivative of z**4/14 - 4*z**3/7 + 9*z**2/7 - 8*z/7 - 5. Factor r(j).
2*(j - 4)*(j - 1)**2/7
Let z = -42/59 - -2933/3540. Let w(f) be the third derivative of -1/40*f**6 - 1/3*f**3 + 0*f + 0 + 1/8*f**4 - 3*f**2 + z*f**5 - 1/42*f**7. Factor w(d).
-(d - 1)*(d + 1)**2*(5*d - 2)
Let u(w) be the third derivative of -w**6/900 + w**5/150 - w**4/60 + w**3/2 + 3*w**2. Let y(b) be the first derivative of u(b). Let y(m) = 0. What is m?
1
Let b be (-28)/(-10) + ((-84)/30 - -3). Factor 0*o - 1/4*o**2 + 3/4*o**b + 0.
o**2*(3*o - 1)/4
Let -8 + 8*g**2 + 4*g**3 - 2*g**2 + 2*g**2 - 4*g = 0. Calculate g.
-2, -1, 1
Let i(k) = -22*k**2 + 26*k + 12. Let c be ((-36)/15)/(3/(-10)). Let b(z) = 15*z**2 - 17*z - 8. Let x(t) = c*b(t) + 5*i(t). Factor x(u).
2*(u - 1)*(5*u + 2)
Suppose r = 5*j + 14, 4*r + 3*j = -r + 14. Factor -62*d**2 - 1 + 2*d - r*d + 61*d**2.
-(d + 1)**2
Let g(p) be the first derivative of p**6/9 - 2*p**5/5 + p**4/2 - 2*p**3/9 + 5. Factor g(z).
2*z**2*(z - 1)**3/3
Suppose -4*j = -14 + 2. What is w in 4*w**4 + j*w**3 + 3 + 2*w**4 - 3 + 3*w**5 = 0?
-1, 0
Let u(v) be the first derivative of -3*v**5/5 + 3*v**4/4 + 2*v**3 + 2. Suppose u(q) = 0. What is q?
-1, 0, 2
Suppose -2*p - 3*p = 0. Suppose 0 = 2*h - 3*a - 23, p = -8*h + 3*h - a + 15. Factor -j**3 - 2*j**3 - j**h + 2*j**3.
-j**3*(j + 1)
Suppose 44*m**4 - 78*m**3 - 8*m**5 - 22*m + 29*m**2 - 7*m**2 + 3 + 39*m**2 = 0. Calculate m.
1/2, 1, 3
Solve 3/2*j - 3/4 - 3/4*j**2 = 0.
1
Let d(o) be the second derivative of o**4/12 - 4*o**3/3 + 8*o**2 + 3*o. Let d(q) = 0. What is q?
4
Factor 16/3*v - 32 - 2/9*v**2.
-2*(v - 12)**2/9
Let l(v) be the first derivative of v**6/24 + v**5/10 - v**4/8 - v**3/3 + v**2/8 + v/2 + 6. Find j, given that l(j) = 0.
-2, -1, 1
Suppose -48 - 142*g + 4*g**2 - 151*g + 309*g = 0. Calculate g.
-6, 2
Suppose 1/5*u**3 + 0*u**2 + 0*u + 0 = 0. Calculate u.
0
Find f such that -3/5*f**2 + 3/5 + 0*f = 0.
-1, 1
Let n be (18/10)/((-2)/(-30)). Factor 2*a**4 + a**2 - 8 - n*a**2 + 10*a**3 - 22*a**3 - 24*a - 4*a**4.
-2*(a + 1)**2*(a + 2)**2
Let b(h) be the third derivative of h**8/2856 + 4*h**7/1785 + h**6/170 + 2*h**5/255 + h**4/204 + 5*h**2. Factor b(k).
2*k*(k + 1)**4/17
Let c(m) = -m - 6. Let s be c(-7). Let h = -1 + s. Factor 0*n - 2*n + n**2 + h*n + 1.
(n - 1)**2
Suppose -4*y + 0*y + 12 = 0. Factor 0*k**2 - 2*k**4 + 4*k - k**5 + 6*k**y - 5*k**2 + 15*k**2 - k**5.
-2*k*(k - 2)*(k + 1)**3
Let i(v) be the first derivative of 6*v**5/25 - 27*v**4/20 + 12*v**3/5 - 6*v**2/5 - 15. Suppose i(t) = 0. Calculate t.
0, 1/2, 2
Let k = -11 - 1. Let w = 12 + k. Factor 3/4*q**2 + w - 1/2*q.
q*(3*q - 2)/4
Let q(g) be the second derivative of 0 - 3/20*g**5 + 3/2*g**3 + 3*g**2 + g + 0*g**4. Suppose q(x) = 0. Calculate x.
-1, 2
Let c = -65 - -65. Factor 5/2*a**3 + 0 + c*a - 1/2*a**2.
a**2*(5*a - 1)/2
Determine d, given that -16*d**2 - 7*d - 7*d + 2*d**5 + 4*d**4 - 6 - 4*d**3 + 2 = 0.
-1, 2
Let u(i) = i**2 + i - 27. Let o be u(0). Let g be 1/((-3)/(o/3)). Let -h**g + 2 - 2*h**2 + 2*h + 0*h**3 - h**3 = 0. Calculate h.
-1, 1
Let l be 100/12 - (-2)/3. Suppose -p**3 + 6*p**2 - l*p**4 + 6*p**4 + p**3 - 3 = 0. Calculate p.
-1, 1
Let l = 13 + -26. Let w(g) = -15*g**2 + 21*g + 7. Let o(i) = -7*i**2 + 10*i + 3. Let v(x) = l*o(x) + 6*w(x). Determine h so that v(h) = 0.
1, 3
Suppose -5*y = 2*t - 29, 0 = -7*t + 3*t - y + 13. Solve 5*z**t - 3*z**2 + 2*z**2 - 16*z + 11 + 5 = 0.
2
Let j = -47 - -50. Suppose 0*p = -p + j. Factor 0 + 1/2*a**p + a**2 + 1/2*a.
a*(a + 1)**2/2
Let j(z) = 8*z**3 + 3*z**2. Let h(p) = p**2 - 8*p + 1. Let k be h(6). Let s(y) = 3*y**3 + y**2. Let f(r) = k*s(r) + 4*j(r). Factor f(m).
-m**2*(m - 1)
Let m be 4 + 3/(-9)*0. Suppose n = m*n - 12. Factor n*o**2 - 2*o**2 - 4*o**2 - 4*o.
-2*o*(o + 2)
Let l = 26 - 22. Suppose -l*k + 7*k = 0. Factor 0*w**2 + 0 + 0*w**3 - 1/5*w**4 + k*w.
-w**4/5
Let d(o) be the first derivative of -9*o**6/10 + 117*o**5/25 - 6*o**4 + 12*o**3/5 + 4. Factor d(v).
-3*v**2*(v - 3)*(3*v - 2)**2/5
Find o, given that 10*o**4 + 10*o**2 + 0 + 0*o - 5/3*o**5 - 55/3*o**3 = 0.
0, 1, 2, 3
Let n(b) be the second derivative of 0 - 1/180*b**6 + 1/20*b**5 + 2/3*b**3 + 0*b**2 - b - 1/6*b**4. Let l(g) be the second derivative of n(g). Solve l(j) = 0.
1, 2
Let l(r) be the second derivative of r**6/135 - 2*r**5/45 - r**4/54 + 4*r**3/27 - 51*r. Factor l(w).
2*w*(w - 4)*(w - 1)*(w + 1)/9
Let d be (2/(-6))/(2/(-114)). Let h = d + -19. Find u, given that -1/4*u**2 + 1/4*u**3 + h + 0*u = 0.
0, 1
Let i be -1 + -1 - (-75)/15. Let y(b) be the third derivative of -1/120*b**6 + b**2 + 0 + 0*b**4 + 0*b + 0*b**i - 1/60*b**5. Let y(s) = 0. Calculate s.
-1, 0
Suppose 2*