ctor u(p).
2*(p - 1)*(p + 1)*(p + 2)/5
Let t = 583538/113 - 5164. Let g = t + 648/565. Factor -2/5*l**5 + 0*l - g*l**4 - 2/5*l**2 + 0 - 6/5*l**3.
-2*l**2*(l + 1)**3/5
Factor -1/2 + 1/2*j**2 + 0*j.
(j - 1)*(j + 1)/2
Let k(q) be the third derivative of -q**7/105 + q**6/10 - 13*q**5/30 + q**4 - 4*q**3/3 + 19*q**2. Determine o so that k(o) = 0.
1, 2
Let t(y) be the first derivative of 2*y**4/7 + 2*y**3/3 - 2*y**2/7 + 38. Find j, given that t(j) = 0.
-2, 0, 1/4
Factor 0*d - 6/11*d**2 + 0 - 2/11*d**3.
-2*d**2*(d + 3)/11
Find n, given that 0 - 11/4*n**4 - n**2 - 35/4*n**5 + 0*n + 5*n**3 = 0.
-1, 0, 2/7, 2/5
Let k(p) be the first derivative of p**6/165 - p**5/55 - p - 1. Let b(z) be the first derivative of k(z). Factor b(w).
2*w**3*(w - 2)/11
Suppose 0 = 4*i + 2*c - 4, -5*i + 3*i + 18 = -3*c. Let u(y) be the second derivative of 1/6*y**4 - 2*y**2 + 0 + i*y + 1/3*y**3. Factor u(o).
2*(o - 1)*(o + 2)
Let p(b) = -2*b**3 - 36*b**2 + 37*b - 17. Let k be p(-19). Factor 8/3*t + 1/2*t**3 - 2/3 - 13/6*t**k.
(t - 2)**2*(3*t - 1)/6
Let h be 6/8 + (85/20 - 5). Factor h - 2/3*z**2 - 2/3*z.
-2*z*(z + 1)/3
Let n = -71 + 73. Let q(g) be the second derivative of 1/80*g**5 - 3*g - 1/2*g**n + 0 - 5/48*g**4 + 1/3*g**3. Let q(l) = 0. Calculate l.
1, 2
Let k(j) be the third derivative of 3*j**2 + 0*j + 0 + 0*j**3 + 1/72*j**4 - 1/180*j**5. Solve k(m) = 0 for m.
0, 1
Determine y so that 0 - 38/17*y**3 + 26/17*y**4 + 42/17*y**5 - 4/17*y - 26/17*y**2 = 0.
-1, -1/3, -2/7, 0, 1
Factor -104*s + 621*s**2 + 5 - 1 + 161*s**3 + 568*s**3.
(s + 1)*(27*s - 2)**2
Let z(d) be the first derivative of -6*d**5/25 + 12*d**3/5 + 24*d**2/5 + 18*d/5 - 17. Determine u so that z(u) = 0.
-1, 3
Let v(q) be the third derivative of q**5/90 + 5*q**4/36 + 4*q**3/9 - q**2. Factor v(x).
2*(x + 1)*(x + 4)/3
Let i(z) = -5*z**2 - 5*z - 3. Let k(j) = -36*j**2 - 34*j - 22. Let n(s) = -44*i(s) + 6*k(s). Find b, given that n(b) = 0.
-4, 0
Let r be ((-88)/(-60))/((-2)/820). Let z = 614 + r. Find k, given that -14/3*k**3 - 16/3*k - z*k**2 + 8/3 = 0.
-2, -1, 2/7
Let x(s) = 2*s**2 - 7*s + 2. Let w(f) = 2*f**2 - 8*f + 2. Let n(k) = 3*w(k) - 4*x(k). What is c in n(c) = 0?
1
Factor -5*o**3 + 29*o + 26*o + 34*o - 84*o.
-5*o*(o - 1)*(o + 1)
Let y be 40/7 + (-6)/(-21). Let g be (4/(-15))/((-4)/y). Factor -4/5*r + 2/5*r**2 + g.
2*(r - 1)**2/5
Let g(q) be the first derivative of -q**5/180 + q**4/36 - q**2/2 + 1. Let u(r) be the second derivative of g(r). Factor u(i).
-i*(i - 2)/3
Suppose -8*c - 334 = -350. What is v in 2/7 - 2/7*v**c + 0*v = 0?
-1, 1
Let q(o) = -6*o**4 + 6*o**2 + 4*o - 2. Let c(k) = -k**5 + 24*k**4 - k**3 - 24*k**2 - 16*k + 9. Let m(f) = -4*c(f) - 18*q(f). Let m(p) = 0. What is p?
-2, -1, 0, 1
Let g(v) = -3*v**2 + 3*v + 4. Let t(f) = 6*f**2 - 6*f - 7. Let y(p) = 5*g(p) + 2*t(p). Solve y(i) = 0.
-1, 2
Let r(c) be the second derivative of -3*c**5/40 + c**4/8 + 14*c. Find u, given that r(u) = 0.
0, 1
Let r(t) be the first derivative of -3/2*t**2 + 4 - 6*t + t**3. Solve r(a) = 0 for a.
-1, 2
Suppose -3*f - 5*g = 0, 5*g = -4*f + 2*g. Let o(m) be the third derivative of f*m**5 + 0*m**3 + 0 - 4*m**2 + 0*m - 1/132*m**4 + 1/660*m**6. Factor o(a).
2*a*(a - 1)*(a + 1)/11
Let -3/4 + 5/4*o - 5/4*o**3 + 3/4*o**2 = 0. Calculate o.
-1, 3/5, 1
Factor 12/5*c**4 + 0*c + 16/5*c**2 - 2/5*c**5 - 24/5*c**3 + 0.
-2*c**2*(c - 2)**3/5
Suppose 0 = 4*d + n - 11, -4*d + 3*n - 5 + 4 = 0. Let w = -1 + 3. Suppose -h**2 + h**2 + 4*h - d*h**4 - 4*h**3 + w = 0. Calculate h.
-1, 1
Let o(p) be the first derivative of -2/33*p**3 - 2 - 1/11*p**2 + 0*p. Solve o(x) = 0.
-1, 0
Let r be 417/(-18) + -3 - 3. Let l = -57/2 - r. Suppose 0 + l*x**3 + 2/3*x**4 + 0*x**2 + 0*x = 0. What is x?
-1, 0
Let p(i) = i**5 - i**3. Let o(m) = -8*m**5 + 15*m**4 - 25*m**3 + 30*m**2 - 15*m + 3. Let z(u) = -o(u) - 5*p(u). Factor z(j).
3*(j - 1)**5
Suppose 0*p = -4*g - 3*p + 38, -46 = -5*g - 3*p. Let y be g/(-20) - 138/(-45). Determine o so that y*o**2 + 10/3*o + 2/3 = 0.
-1, -1/4
Suppose -5*c - 3*q + 37 = 0, -12*c - 5*q = -16*c. Factor 16/9*n**2 - 2/9*n**c - 4/9*n**4 + 0 + 8/9*n**3 + 0*n.
-2*n**2*(n - 2)*(n + 2)**2/9
Suppose -4*c = 12, i + 4*c + 11 = 1. Factor -1 + x - 1/4*x**i.
-(x - 2)**2/4
Let v(k) be the first derivative of -k**5/20 + k**4/9 - k**3/18 - 3*k + 5. Let a(i) be the first derivative of v(i). Factor a(d).
-d*(d - 1)*(3*d - 1)/3
Let w(v) be the second derivative of v**4/30 + 4*v**3/15 + 4*v**2/5 - 25*v. Factor w(x).
2*(x + 2)**2/5
Let h(j) be the third derivative of 0*j**3 + 0 + 0*j**5 - 4*j**2 + 0*j - 1/300*j**6 + 1/60*j**4. Find k, given that h(k) = 0.
-1, 0, 1
Suppose y - 13 = 5. Determine j, given that y*j - 3*j**2 - 6*j - 48 + 12*j = 0.
4
Let d(p) be the second derivative of 3*p**4/2 + 25*p**3/3 - 6*p**2 - 22*p. Suppose d(x) = 0. What is x?
-3, 2/9
Let q(d) be the first derivative of 0*d**2 + 0*d**5 + 0*d + 1/6*d**6 + 1 + 2/3*d**3 - 3/4*d**4. Determine k so that q(k) = 0.
-2, 0, 1
Find q such that 48*q**3 - 6*q + 42*q**3 + 0 - 1 - 94*q**3 - 9*q**2 = 0.
-1, -1/4
Let w(l) be the third derivative of l**7/6300 - l**5/300 - l**4/24 + 3*l**2. Let o(v) be the second derivative of w(v). Suppose o(r) = 0. What is r?
-1, 1
Factor -2*c**5 - 20*c**3 + 2*c**2 + 14*c**4 + 22*c**2 + 12*c**3 - 24*c**3.
-2*c**2*(c - 3)*(c - 2)**2
Let q(s) = -s**3 + s**2. Let l(j) = -j**4 - 2*j**3 - 4*j**2 + 4*j + 3. Let f(b) = -l(b) - 2*q(b). Determine y, given that f(y) = 0.
-3, -1, 1
Suppose -f = -3*v + 15, -3*v = 5*f + 2*v - 25. Solve f - 2/11*i**3 + 2/11*i**2 + 0*i = 0.
0, 1
Let p(a) be the second derivative of -1/60*a**4 - 1/10*a**2 + 1/10*a**5 - 4/105*a**7 + 0 + 2/75*a**6 - a - 2/15*a**3. Factor p(n).
-(n - 1)**2*(2*n + 1)**3/5
Let g(r) be the second derivative of -1/5*r**2 - 1/150*r**6 - 1/100*r**5 + 1/30*r**3 + 1/20*r**4 + 2*r + 0. Determine j, given that g(j) = 0.
-2, -1, 1
Let y(o) be the second derivative of o**4/6 - 4*o. Factor y(w).
2*w**2
Suppose -3*l = -l + 2. Let t = l - -4. Factor 0*r**t - 2*r**3 + 0*r + 2*r.
-2*r*(r - 1)*(r + 1)
Let t = -2/69 + 25/69. Factor 0 + 2/3*k - t*k**3 + 1/3*k**2.
-k*(k - 2)*(k + 1)/3
Let o = 21 - 18. Factor -4*u**3 + 6*u**3 - u**o.
u**3
Let d(l) = -l**3 - 2*l**2 + 4*l - 3. Let p be d(2). Let s = p - -16. Factor 5*g**4 - 2*g - 3*g**s - 4*g**2 - 4*g**4 + 2*g**5 + 3*g**2 + 3*g**3.
-g*(g - 2)*(g - 1)*(g + 1)**2
Let l = 103/5 - 20. Let g = -1/10 + l. Let -1/4*f**5 + 1/2*f**3 - 1/2*f**4 - 1/4*f - g + f**2 = 0. What is f?
-2, -1, 1
Let m be (-3)/24*2*(-24)/3. Find j, given that 0*j**3 + 2/3*j**m - 1/3*j**5 - 2/3*j**4 + 1/3*j + 0 = 0.
-1, 0, 1
Let l(d) = 6*d**2 + 2*d + 4. Let q = -15 + 21. Suppose 0 = -5*w + 3*m, -5*w + 5*m = q + 4. Let t(c) = 5*c**2 + 3*c + 3. Let u(k) = w*l(k) - 4*t(k). Factor u(x).
-2*x*(x + 3)
Let r(w) be the third derivative of -w**7/630 - w**6/90 - w**5/30 - w**4/18 - w**3/18 + 10*w**2. Factor r(m).
-(m + 1)**4/3
Let t(j) = j**2 + j + 1. Let v(m) = -8*m**2 - 16*m - 4. Let i(f) = -4*t(f) - v(f). Factor i(n).
4*n*(n + 3)
Let s be (-7 + 7)/((1 - -1) + 0). Suppose 2/3 + s*h**2 - h + 1/3*h**3 = 0. What is h?
-2, 1
Find v such that -10/3*v**4 - 20/3*v**2 + 10/3*v - 2/3 + 2/3*v**5 + 20/3*v**3 = 0.
1
Let -p - 1/3 - p**2 - 1/3*p**3 = 0. What is p?
-1
Let b be (-1 - (2 + -2))/(-2). Suppose -12*x = 28*x - 120. Factor 0*q + 1/2*q**2 + 0 - b*q**4 + 0*q**x.
-q**2*(q - 1)*(q + 1)/2
Let n(l) be the first derivative of l**4/30 + l**3/15 + l - 4. Let z(w) be the first derivative of n(w). Factor z(f).
2*f*(f + 1)/5
Let j(s) be the second derivative of s**6/45 + s**5/30 - s**4/18 - s**3/9 + s. Determine x, given that j(x) = 0.
-1, 0, 1
Let r be (-2)/4 - (-15)/6. Factor -26*d**3 + 18*d**2 - 8*d - 12*d**r + 12*d**4 - 2*d**5 + 14*d**2 + 4*d**2.
-2*d*(d - 2)**2*(d - 1)**2
Factor 0 - 2/5*y + 1/5*y**2.
y*(y - 2)/5
Let c be (-2)/(-6) - 55/(-33). Let y(p) be the first derivative of 0*p + c + 0*p**2 - 1/3*p**3 + 1/5*p**5 + 0*p**4. Factor y(t).
t**2*(t - 1)*(t + 1)
Determine l, given that -1/3 - 1/3*l**2 - 2/3*l = 0.
-1
Factor -2*p**4 + 35*p + 52*p + 30*p**2 - 4*p**3 - 15*p.
-2*p*(p - 4)*(p + 3)**2
Let d(o) be the second derivative of 3*o**5/80 - o**4/8 - o**3/8 + 3*o**2/4 - 44*o. Solve d(k) = 0 for k.
-1, 1, 2
Let b be (-12)/(-7) - (-2)/7. Let k be (-3)/b*(-20)/15. Let 0 - f**k - 3*f - 3 + 1 = 0. What is f?
-2, -1
Let b(q) = -2*q**5 - q**4 - 6*q**3 + 