 = -5 + p. Factor -1/2*f**3 + f**t - 1 + 1/2*f.
-(f - 2)*(f - 1)*(f + 1)/2
Suppose -27*u + 26*u**2 + 73*u + 22 + 33*u**3 - 31*u**3 = 0. Calculate u.
-11, -1
Factor 441/5 + 1198/5*s**2 + 318/5*s**3 + 1/5*s**5 + 1281/5*s - 39/5*s**4.
(s - 21)**2*(s + 1)**3/5
Factor 466 + 12*j**2 - 9*j - 3*j**3 + 466 - 932.
-3*j*(j - 3)*(j - 1)
Let f = 1/76 + 301/228. Factor -f + v**2 - 1/6*v**4 - 1/6*v**3 + 2/3*v.
-(v - 2)*(v - 1)*(v + 2)**2/6
Let g be (-15)/4 + 2 + 20/(-16). Let v be g - ((-135)/12 + 2). Determine q, given that -q - v*q**5 - 15/2*q**4 + 11/4*q**3 + 3*q**2 + 0 = 0.
-1, 0, 2/5
Let t(c) be the first derivative of 0*c**3 + 5 + 0*c**2 + 0*c**4 - 1/60*c**5 - 4*c - 1/90*c**6. Let l(q) be the first derivative of t(q). Factor l(n).
-n**3*(n + 1)/3
Let r(f) = 2*f**2 + 4*f + 3. Let k be r(-2). Let 3*b**4 + 7 + 8 - 4*b**5 - 7*b**4 - 19 + 8*b**2 + 8*b**k - 4*b = 0. Calculate b.
-1, 1
Let k = 1654 - 1651. Let t(p) be the first derivative of 0*p**4 + 1/9*p**k + 0*p - 1/15*p**5 + 0*p**2 - 4. Factor t(r).
-r**2*(r - 1)*(r + 1)/3
Let w(r) = r**3 - 16*r**2 + 22*r - 5. Let l be w(15). Let v = l - 497/5. Factor v*i**2 - 3/5 - 3/5*i + 3/5*i**3.
3*(i - 1)*(i + 1)**2/5
Find t such that -33856*t**3 - 19872*t**2 + 4 + 169619*t**4 + 73721*t**4 - 10 - 58 - 2048*t = 0.
-2/23, 2/5
Let a(x) be the second derivative of x**8/10080 - x**7/3780 - x**6/270 + x**5/45 - 17*x**4/6 - 11*x. Let p(v) be the third derivative of a(v). Factor p(w).
2*(w - 2)*(w - 1)*(w + 2)/3
Let n(q) = -8*q**3 - 13*q**2 - 22*q + 5. Let t(i) = 7*i**3 + 14*i**2 + 23*i - 4. Let o(u) = -4*n(u) - 5*t(u). Factor o(h).
-3*h*(h + 3)**2
Suppose 30*g = 34*g. Let z(b) be the second derivative of b + 0*b**3 + g + 1/8*b**2 - 1/48*b**4. Find p, given that z(p) = 0.
-1, 1
Factor -4*p**5 + 277*p**4 - 63*p**4 - 60*p**3 - 181*p + 181*p - 10*p**5.
-2*p**3*(p - 15)*(7*p - 2)
Let f = -8 + 10. What is k in 3 - k + 10*k**f - 7*k**2 + 7*k = 0?
-1
Let y(w) be the first derivative of 1/32*w**4 + 5 + 1/80*w**5 - 1/8*w**3 + 0*w + w**2 - 1/160*w**6. Let s(z) be the second derivative of y(z). Factor s(r).
-3*(r - 1)**2*(r + 1)/4
Let y(a) be the first derivative of -4/3*a**2 - 6 - 1/3*a - 16/9*a**3. Factor y(n).
-(4*n + 1)**2/3
Suppose 4*z - 6*z = -24. What is q in -z*q + 8 - 2*q + 2*q**2 + 6*q = 0?
2
Suppose -5*z + 9*y - 4*y + 30 = 0, 5*z = -2*y + 9. Let q = z - 0. Factor 6*p**3 + 4*p - 4*p - 5*p**q.
p**3
Factor -44 - 84*u - 391*u**2 + 741*u**2 - 386*u**2 + 4*u**3.
4*(u - 11)*(u + 1)**2
Suppose 2*f**3 + 9*f + f**4 - 10*f**3 - 14*f**2 + 3 - f + 5 + 5*f**4 = 0. Calculate f.
-1, -2/3, 1, 2
Determine m so that 340/7*m**2 - 32/7 - 468/7*m**4 - 108/7*m**5 - 60/7*m**3 + 8/7*m = 0.
-4, -1, -1/3, 1/3, 2/3
Let b(z) be the third derivative of 5*z**4/8 + z**3/6 + 3*z**2. Let y be b(2). Factor -29*x + y*x + 3*x**2 - 4*x**2.
-x*(x - 2)
Let h(j) be the first derivative of j**4/4 - j**3 - 2*j**2 + 5*j - 2. Let x be h(4). Factor 6 - x*c**2 - 4*c - 2*c**2 + 5*c**2.
-2*(c - 1)*(c + 3)
Let m(o) be the second derivative of 3*o**5/40 + 7*o**4/4 + 5*o - 7. Find w such that m(w) = 0.
-14, 0
Let o(s) be the second derivative of -s**5/140 - 3*s**4/28 - 9*s**3/14 + 6*s**2 + 10*s. Let m(h) be the first derivative of o(h). Factor m(i).
-3*(i + 3)**2/7
Let 2/13*a**2 + 32/13 - 34/13*a = 0. What is a?
1, 16
Let g = 5407 - 5407. Find m, given that -2/13*m**3 - 4/13*m + 6/13*m**2 + g = 0.
0, 1, 2
Find w such that 8/5*w - 8/5*w**3 - 4/5*w**2 + 6/5 - 2/5*w**4 = 0.
-3, -1, 1
Let j = -17 - -22. Let 28*q**3 - 41*q + 8 - 13*q**2 + 13*q + j*q**2 = 0. What is q?
-1, 2/7, 1
Let a be 7*(-4)/(-7) - 2. Let c(q) be the first derivative of 1/3*q**6 + 2/3*q**3 - 8 + 0*q**a + 3/2*q**4 + 6/5*q**5 + 0*q. Factor c(m).
2*m**2*(m + 1)**3
Factor 14/3*r**3 + 0*r + 6*r**5 + 0 + 10*r**4 + 2/3*r**2.
2*r**2*(r + 1)*(3*r + 1)**2/3
Let b(k) = k**2 - 9*k - 17. Let y be b(11). Suppose -17 + 27 = y*r. Find q, given that 0 - 2/17*q**4 - 6/17*q**r + 2/17*q + 6/17*q**3 = 0.
0, 1
Let -5*l**3 - 17*l**4 + 27*l**4 - 5*l**5 + 20*l**3 = 0. Calculate l.
-1, 0, 3
Let c(b) be the second derivative of -b**5/12 + 15*b**4/8 - 20*b**3/3 - 15*b**2 + 49*b. Let q(j) be the first derivative of c(j). Factor q(w).
-5*(w - 8)*(w - 1)
Suppose 4*c - 5*y - 15 = 0, 2*y + 15 = c - 3*y. Suppose -11*v + 23 + 21 = c. Suppose 3/4*i**v + 0*i**2 + 0 + 0*i + 0*i**3 = 0. Calculate i.
0
Let y(i) be the second derivative of 10*i**7/21 + 6*i**6/5 - 7*i**5/5 - 3*i**4 + 4*i**3/3 - 254*i. Solve y(z) = 0 for z.
-2, -1, 0, 1/5, 1
Let v be (-2 - -2)*24/(-96). Let q(j) be the third derivative of 0 - 3*j**2 - 1/35*j**7 + 0*j**4 + 0*j + v*j**3 + 1/30*j**5 - 1/30*j**6. Factor q(p).
-2*p**2*(p + 1)*(3*p - 1)
Suppose 4*b - 4*f = -8, 25 - 11 = -2*b + 4*f. Let v(t) be the second derivative of t**2 + 0 + 1/6*t**4 + 2/3*t**b - 11*t. Factor v(g).
2*(g + 1)**2
Let y = 44 - 50. Let x be (-3)/(-21) - (y/56 - 0). Factor 1/2*k**4 + 0*k + 0 + 1/4*k**3 + x*k**5 + 0*k**2.
k**3*(k + 1)**2/4
Let k be (1 - 7)*(48/84)/((-450)/105). Factor 0 - 4/5*n**2 + 4/5*n**4 - k*n + 4/5*n**3.
4*n*(n - 1)*(n + 1)**2/5
Let i(s) be the third derivative of 2*s**7/105 - s**6/15 - 7*s**5/15 + 10*s**4/3 - 8*s**3 + 5*s**2 - 2. Let i(t) = 0. What is t?
-3, 1, 2
Let m be 25/36 + 216/(-486). Find i, given that 1 + i + m*i**2 = 0.
-2
Let x(q) be the first derivative of -q**6/2 - 3*q**5 - 21*q**4/4 + q**3 + 12*q**2 + 12*q + 78. Find h such that x(h) = 0.
-2, -1, 1
Let o(q) be the second derivative of -343*q**6/24 - 147*q**5/4 - 315*q**4/8 - 45*q**3/2 + 6*q**2 + 14*q. Let f(j) be the first derivative of o(j). Factor f(n).
-5*(7*n + 3)**3
Let n(m) be the third derivative of -m**8/112 + m**7/35 + m**6/20 - 2*m**5/5 + 7*m**4/8 - m**3 + m**2 - 17*m. Factor n(c).
-3*(c - 1)**4*(c + 2)
Suppose -3*f + 11 = j, -4*f + 5*j - 13 = 4. Solve -2*l**2 - 2 + 28*l**3 - f*l**2 + 0*l - 27*l**3 + 5*l = 0.
1, 2
Suppose -9 = -42*j + 39*j. Suppose 0 = j*s + 3*o + o, 0 = -5*o - 15. Factor 0*x + 0 + 1/4*x**3 + 0*x**2 + 1/2*x**s.
x**3*(2*x + 1)/4
Let 18*m**4 - 15*m**4 - 16*m**3 - 17*m**3 + 60 - 9*m**3 + 135*m**2 - 156*m = 0. Calculate m.
1, 2, 10
Let s(b) = -b**2. Let z(q) = 5*q**2 - 6*q + 8. Let g(c) = 12*s(c) + 3*z(c). Find i, given that g(i) = 0.
2, 4
Suppose -16 = -5*d - 1. Determine u, given that -2*u**3 - 37 + 9*u**2 + 37 + u**4 - 4*u**d = 0.
0, 3
Suppose -3*q + 2074 = 2068. Find d such that -1/5*d**3 + 2/5*d**q + 1/5*d - 2/5 = 0.
-1, 1, 2
Let v(q) be the second derivative of 1/2*q**2 - 28*q + 0 - 1/48*q**4 + 0*q**3. Find r, given that v(r) = 0.
-2, 2
Let c be (-10)/(-4)*(-138)/(-115). Suppose -4*m = c*m + 3*m. Factor -2/5*u**2 + m*u + 0.
-2*u**2/5
Let m = -27 - -31. Let z(u) be the second derivative of 0 + u**3 + 3/2*u**2 - u + 1/4*u**m. Factor z(x).
3*(x + 1)**2
Let r be (9 - (-462)/(-49))*(-4 - 3). Factor 2*p**2 - 3/2*p**4 + 0 + 1/2*p**5 + 0*p**r + 0*p.
p**2*(p - 2)**2*(p + 1)/2
Let -1/10*c**2 + 9/5*c - 77/10 = 0. Calculate c.
7, 11
Let j(q) be the third derivative of -q**8/16 - 6*q**7/35 - 3*q**6/40 + q**5/10 - 20*q**2. Solve j(t) = 0 for t.
-1, 0, 2/7
Suppose -3*v + 2*i = -24, 0*v - 5*i = -3*v + 24. Factor -4*n**5 + n**4 + 6*n**2 + 2*n**2 - 5*n**4 - 4*n - 4 + v*n**3.
-4*(n - 1)**2*(n + 1)**3
Let u(s) be the second derivative of -2/35*s**6 + 12*s - 3/98*s**7 + 3/14*s**4 + 0 - 1/14*s**3 + 3/35*s**5 - 3/7*s**2. Let u(p) = 0. Calculate p.
-1, 2/3, 1
Let j(r) = 5*r**4 - 35*r**3 + 27*r**2 + 3. Let z(b) = -10*b**4 + 70*b**3 - 55*b**2 - 5. Let v(h) = 5*j(h) + 3*z(h). Solve v(t) = 0.
0, 1, 6
Let t(a) = -a**2 - a. Let y(w) = -w**3 - 13*w + 4. Suppose 3*h + 2*x = -x + 27, 5*h = -x + 29. Let q(r) = h*t(r) - y(r). Factor q(m).
(m - 2)**2*(m - 1)
Suppose 7/3*s**2 + 0 + 0*s + 1/6*s**4 - 3/2*s**3 = 0. Calculate s.
0, 2, 7
Let o(d) = -6*d - d - 3*d**2 + d - 7. Let z(p) = 16*p**2 + 30*p + 34. Let l be (-4)/(-6) - 30/18 - -23. Let k(c) = l*o(c) + 4*z(c). Solve k(v) = 0.
-3
Let h(d) be the first derivative of d**8/1260 - d**7/315 - d**6/270 + d**5/45 + 40*d**3/3 + 26. Let b(v) be the third derivative of h(v). Factor b(j).
4*j*(j - 2)*(j - 1)*(j + 1)/3
Let k = 164 + -168. Let s be 4/(-26) + 0 + k/(-26). Factor 0 + 1/5*u**5 - 1/5*u**3 + s*u + 0*u**4 + 0*u**2.
u**3*(u - 1)*(u + 1)/5
Let o be (-12)/24 + 11/2. Suppose -1 = g - 4*v + 1, 5*g + o*v - 15 = 0. Factor -1 + 3*k**3 + k**4 - 2*k**3 + g*k - 3*k**3.
(k - 1)**3*(k + 1)
L